为什么 0.1 + 0.2 结果为 0.30000000000000004

Author小谷 / Posted on354 Comments

为什么 0.1 + 0.2 结果为 0.30000000000000004

为什么 0.1 + 0.2 结果为 0.30000000000000004

如果你打开浏览器的控制台，输入以下代码并运行

 > 0.1 + 0.2
 0.30000000000000004
奇怪，为什么不是 0.3。

这时可能你会去搜一下（很容易搜到结果），但是如果你了解计算机是如何存储小数（准确地说是浮点数）的话，很容易推断出原因。

我们需要有以下基础知识：

  1. 计算机将所有数据以二进制的形式存储
  2. 计算机用有限的大小来存储数据（因为现实生活中不存在无限大的内存或硬盘）
    好的，然后结合我们的问题来看。

计算机如何存储 0.1 和 0.2？

如果你对十进制转二进制有兴趣可以看下图：

如果看不懂也可以直接看结论：十进制的 0.1 转为二进制，得到一个无限循环小数：0.00011…。
也就是说，二进制无法「用有限的位数」来表示 0.1。对于 0.2 也是一样的，不赘述。二进制能「用有限的位数」表示的有：0.5、0.25、0.125 等。

但是计算机只能用有限的位数来存一个数，所以最终，计算机存的数是一个近似于 0.1 的小数。

确切的二进制值是0-01111111011-1001100110011001100110011001100110011001100110011010，
对应的十进制值是0.10000000000000000555…。

这是计算机能表示的最接近 0.1 的数字（存储一个数字的空间越大则越精确）。（具体转换过程参考这里）

所以当我们计算 0.1 + 0.2 时，实际上算的是两个近似值相加，得到的值当然也是近似等于 0.3。

总结

  1. 问题的根源是十进制小数转为二进制小数的过程中，会损失精度
  2. 你在写代码的过程中，遇到小数都要小心，比如下面的代码会造成死循环
var i = 0.1
while(i!=1){
    console.log(i)
    i += 0.1
}
  1. 因为 i 加 9 次 0.1，得到的值是 1 的近似值，并不是 1。

你应该对计算机存储方式有一定的了解。

作者：方应航、方方老师 https://zhuanlan.zhihu.com/p/22328524

354 thoughts on “为什么 0.1 + 0.2 结果为 0.30000000000000004”

  9. Wonderful article! This is the kind of information that are supposed to be shared across the net. Shame on the seek engines for no longer positioning this put up higher! Come on over and visit my web site . Thanks =)|

  10. Heya! I just wanted to ask if you ever have any issues with hackers? My last blog (wordpress) was hacked and I ended up losing several weeks of hard work due to no backup. Do you have any solutions to prevent hackers?|

  13. I just couldn’t depart your site before suggesting that I actually loved the standard information an individual supply to your guests? Is gonna be again continuously in order to check up on new posts|

  14. It’s amazing to pay a visit this web site and reading the views of all mates on the topic of this piece of writing, while I am also zealous of getting experience.|

  15. Hello there, I discovered your blog by the use of Google while searching for a similar matter, your web site came up, it looks great. I have bookmarked it in my google bookmarks.

  17. Fantastic goods from you, man. I’ve understand your stuff previous to and you’re just extremely fantastic. I really like what you’ve acquired here, certainly like what you’re saying and the way in which you say it. You make it enjoyable and you still care for to keep it wise. I cant wait to read far more from you. This is really a tremendous site.|

  18. Hi! I simply would like to offer you a big thumbs up for your excellent information you have right here on this post. I will be returning to your website for more soon.|

  19. I blog quite often and I seriously appreciate your information. Your article has really peaked my interest. I’m going to book mark your site and keep checking for new information about once per week. I subscribed to your RSS feed too.|

  20. Hi exceptional website! Does running a blog similar to this take a large amount of work? I have very little understanding of coding but I was hoping to start my own blog soon. Anyway, should you have any recommendations or techniques for new blog owners please share. I know this is off topic however I simply needed to ask. Many thanks!|

  21. excellent publish, very informative. I’m wondering why the other specialists of this sector do not understand this. You should proceed your writing. I’m sure, you have a great readers’ base already!|

  22. Just desire to say your article is as surprising. The clearness in your post is just nice and i can assume you’re an expert on this subject. Fine with your permission allow me to grab your feed to keep up to date with forthcoming post. Thanks a million and please carry on the rewarding work.|

  23. You’re so cool! I don’t believe I have read anything like that before. So great to find another person with genuine thoughts on this subject matter. Really.. thank you for starting this up. This web site is one thing that’s needed on the web, someone with a little originality!|

  24. Excellent post however I was wanting to know if you could write a litte more on this subject? I’d be very grateful if you could elaborate a little bit further. Thank you!|

  27. Thanks for another informative web site. Where else could I am getting that kind of info written in such an ideal means? I have a mission that I’m simply now running on, and I have been at the look out for such information.|

  32. We stumbled over here by a different page and thought I might as well check things out. I like what I see so now i’m following you. Look forward to checking out your web page again.|

  33. Excellent goods from you, man. I have understand your stuff previous to and you’re just too magnificent. I actually like what you have acquired here, certainly like what you’re saying and the way in which you say it. You make it entertaining and you still care for to keep it smart. I can not wait to read far more from you. This is actually a terrific site.|

  34. I have been exploring for a little bit for any high-quality articles or weblog posts on this sort of area . Exploring in Yahoo I at last stumbled upon this website. Reading this information So i’m happy to convey that I’ve an incredibly good uncanny feeling I found out just what I needed. I most indubitably will make sure to do not forget this website and give it a glance on a continuing basis.|

  36. Does your website have a contact page? I’m having a tough time locating it but, I’d like to send you an e-mail. I’ve got some creative ideas for your blog you might be interested in hearing. Either way, great site and I look forward to seeing it expand over time.|

  37. Good web site! I really love how it is simple on my eyes and the data are well written. I’m wondering how I could be notified when a new post has been made. I have subscribed to your feed which must do the trick! Have a nice day!

  38. Good web site! I really love how it is simple on my eyes and the data are well written. I’m wondering how I could be notified when a new post has been made. I have subscribed to your feed which must do the trick! Have a nice day!

  39. certainly like your web site however you need to test the spelling on quite a few of your posts. Many of them are rife with spelling issues and I in finding it very troublesome to inform the truth then again I¡¦ll certainly come again again.

  40. Wow! At last I got a website from where I be capable of actually take useful data regarding my study and knowledge.

  43. Excellent blog here! Also your site loads up very fast! What web host are you using? Can I get your affiliate link to your host? I wish my site loaded up as fast as yours lol

  48. I don’t even know how I ended up here, but I thought this post was great. I don’t know who you are but certainly you are going to a famous blogger if you aren’t already 😉 Cheers!

  51. It is actually a great and useful piece of info. I am glad that you shared this helpful info with us. Please stay us informed like this. Thank you for sharing.|

  52. Cool blog! Is your theme custom made or did you download it from somewhere? A theme like yours with a few simple adjustements would really make my blog stand out. Please let me know where you got your design. Bless you|

  53. Hello just wanted to give you a brief heads up and let you know a few of the images aren’t loading correctly. I’m not sure why but I think its a linking issue. I’ve tried it in two different browsers and both show the same results.|

  55. Great blog here! Also your web site loads up very fast! What host are you using? Can I get your affiliate link to your host? I wish my site loaded up as fast as yours lol|

  57. Hi, I do believe this is an excellent web site. I stumbledupon it 😉 I am going to come back yet again since i have saved as a favorite it. Money and freedom is the greatest way to change, may you be rich and continue to help others.|

  58. Unquestionably believe that which you stated. Your favourite justification seemed to be at the net the easiest factor to be mindful of. I say to you, I certainly get annoyed whilst other people consider worries that they plainly do not recognize about. You managed to hit the nail upon the top and outlined out the entire thing without having side-effects , other people could take a signal. Will likely be again to get more. Thank you|

  59. I don’t even know how I ended up here, but I thought this post was great. I don’t know who you are but certainly you are going to a famous blogger if you aren’t already 😉 Cheers!

  60. Great blog here! Also your web site loads up very fast! What host are you using? Can I get your affiliate link to your host? I wish my web site loaded up as quickly as yours lol|

  61. For most up-to-date news you have to go to see web and on world-wide-web I found this website as a most excellent site for most recent updates.|

  63. It’s appropriate time to make some plans for the future and it’s time
    to be happy. I’ve read this post and if I could I desire to suggest you few
    interesting things or advice. Maybe you can write next articles referring to this
    article. I wish to read more things about it!

  67. I’ve read several good stuff here. Certainly worth
    bookmarking for revisiting. I wonder how a lot attempt you put to make any such great
    informative site.

  73. After I initially left a comment I appear to have clicked on the -Notify me when new comments are
    added- checkbox and from now on every time a comment
    is added I get four emails with the same comment. There
    has to be a way you are able to remove me from that service?

    Cheers!

  75. I love your blog.. very nice colors & theme. Did you design this website yourself or did you hire someone to do it for you? Plz reply as I’m looking to construct my own blog and would like to find out where u got this from. thanks a lot|

  77. Wow, that’s what I was exploring for, what a data!

    present here at this webpage, thanks admin of this web site.

  78. Quality content is the important to be a focus for the visitors to go to see the web page, that’s what this web site is providing.

  80. It’s actually a great and useful piece of info. I
    am happy that you shared this helpful information with us.

    Please stay us informed like this. Thank you for sharing.

  81. Amazing blog! Do you have any hints for aspiring writers? I’m planning to start my own site soon but I’m a little lost on everything. Would you suggest starting with a free platform like WordPress or go for a paid option? There are so many choices out there that I’m totally confused .. Any suggestions? Thanks!|

  85. You really make it appear so easy together with your presentation but I find this topic to be actually something that I think I would by no means understand. It sort of feels too complicated and extremely huge for me. I’m taking a look forward for your subsequent post, I’ll try to get the dangle of it!|

  87. With havin so much written content do you ever run into any problems of plagorism or copyright violation? My site has a lot of exclusive content I’ve either written myself or outsourced but it looks like a lot of it is popping it up all over the internet without my agreement. Do you know any solutions to help protect against content from being stolen? I’d certainly appreciate it.|

  90. Excellent blog here! Also your web site lots up fast! What host are you the usage of? Can I get your associate link on your host? I want my web site loaded up as quickly as yours lol|

  91. Hi! I could have sworn I’ve been to this site before but after browsing through some of the post I realized it’s new to me. Nonetheless, I’m definitely delighted I found it and I’ll be bookmarking and checking back often!|

  93. I do believe all the ideas you have presented for your post. They are very convincing and will definitely work. Nonetheless, the posts are very brief for starters. May just you please prolong them a bit from subsequent time? Thanks for the post.|

  94. I don’t even know how I ended up here, but I thought this post was great. I don’t know who you are but certainly you are going to a famous blogger if you aren’t already 😉 Cheers!

  95. It is appropriate time to make some plans for the future and it’s time to be happy. I have read this post and if I could I want to suggest you few interesting things or advice. Maybe you could write next articles referring to this article. I desire to read even more things about it!|

  96. I loved as much as you will receive carried out right here. The sketch is tasteful, your authored subject matter stylish. nonetheless, you command get got an shakiness over that you wish be delivering the following. unwell unquestionably come further formerly again as exactly the same nearly a lot often inside case you shield this hike.|

  98. Remarkable! Its in fact amazing piece of writing, I have got much clear idea regarding from this post.

  100. Thank you for the good writeup. It actually used to be a enjoyment account it. Look complicated to more introduced agreeable from you! However, how can we keep in touch?|

  102. What a stuff of un-ambiguity and preserveness of precious familiarity on the topic of unexpected feelings.|

  103. Hello there I am so delighted I found your blog, I really found you by accident, while I was looking on Askjeeve for something else, Anyhow I am here now and would just like to say thanks a lot for a remarkable post and a all round entertaining blog (I also love the theme/design), I don’t have time to go through it all at the minute but I have bookmarked it and also included your RSS feeds, so when I have time I will be back to read much more, Please do keep up the superb b.|

  105. I’m curious to find out what blog system you have been working with? I’m having some small security issues with my latest site and I’d like to find something more secure. Do you have any recommendations?|

  106. I’m truly enjoying the design and layout of your site. It’s a very easy on the eyes which makes it much more pleasant for me to come here and visit more often. Did you hire out a developer to create your theme? Outstanding work!|

  107. Howdy! I just wish to offer you a big thumbs up for the great info you have here on this post. I will be returning to your website for more soon.|

  109. May I simply say what a relief to discover a person that really understands what they’re discussing on the web. You actually realize how to bring an issue to light and make it important. More people really need to check this out and understand this side of the story. It’s surprising you’re not more popular given that you certainly have the gift.|

  110. Fantastic post but I was wanting to know if you could write a litte more on this topic? I’d be very grateful if you could elaborate a little bit further. Bless you!|

  112. I love your blog.. very nice colors & theme. Did you make this website yourself or did you hire someone to do it for you? Plz answer back as I’m looking to create my own blog and would like to find out where u got this from. cheers|

  114. Hey There. I discovered your blog the usage of msn. That is a very smartly written article. I will make sure to bookmark it and come back to learn more of your helpful info. Thank you for the post. I’ll certainly comeback.|

  115. Neat blog! Is your theme custom made or did you download it from somewhere? A theme like yours with a few simple adjustements would really make my blog shine. Please let me know where you got your design. With thanks|

  116. Good day! This is my 1st comment here so I just wanted to give a quick shout
    out and say I really enjoy reading through your blog posts.
    Can you suggest any other blogs/websites/forums that go over the
    same subjects? Thank you so much!

  117. Pretty component of content. I simply stumbled upon your web site and in accession capital to assert that I acquire in fact loved account your weblog posts.
    Any way I will be subscribing for your feeds and even I achievement you access
    consistently quickly.

  118. Today, I went to the beach front with my kids. I found a sea shell and gave it to my 4 year old daughter and said “You can hear the ocean if you put this to your ear.” She placed the shell to her ear and screamed. There was a hermit crab inside and it pinched her ear. She never wants to go back! LoL I know this is totally off topic but I had to tell someone!|

  120. Hmm is anyone else experiencing problems with the images on this blog loading? I’m trying to figure out if its a problem on my end or if it’s the blog. Any feedback would be greatly appreciated.|

  122. May I just say what a comfort to uncover someone who truly
    understands what they are talking about on the internet.
    You actually realize how to bring an issue to light
    and make it important. A lot more people really need to read this and understand this side of
    your story. I can’t believe you’re not more popular because
    you most certainly possess the gift.

  123. Usually I do not read post on blogs, but I wish to say that this write-up very compelled me to take a look at and
    do so! Your writing taste has been surprised
    me. Thank you, very great post.

  124. After I initially commented I appear to have clicked the -Notify me when new comments are added- checkbox and now whenever a comment is added I recieve four emails with the exact same comment. Is there a way you can remove me from that service? Kudos!|

  125. Howdy just wanted to give you a quick heads up. The text in your content seem
    to be running off the screen in Safari. I’m not
    sure if this is a formatting issue or something to do with web
    browser compatibility but I thought I’d post to let you know.
    The design and style look great though! Hope you get the problem solved soon. Cheers

  126. Greetings from Los angeles! I’m bored to death at work so I decided to check out your website on my iphone during lunch break. I enjoy the info you present here and can’t wait to take a look when I get home. I’m amazed at how fast your blog loaded on my mobile .. I’m not even using WIFI, just 3G .. Anyways, great blog!|

  128. Hi would you mind letting me know which webhost you’re utilizing? I’ve loaded your blog in 3 completely different web browsers and I must say this blog loads a lot quicker then most. Can you recommend a good web hosting provider at a fair price? Cheers, I appreciate it!|

  129. Hey there! I understand this is somewhat off-topic but I had to ask. Does running a well-established website like yours require a large amount of work? I’m brand new to writing a blog however I do write in my journal on a daily basis. I’d like to start a blog so I will be able to share my experience and thoughts online. Please let me know if you have any recommendations or tips for brand new aspiring bloggers. Thankyou!|

  131. Hey there! Quick question that’s entirely off topic. Do you know how to make your site mobile friendly? My site looks weird when viewing from my apple iphone. I’m trying to find a theme or plugin that might be able to fix this issue. If you have any suggestions, please share. Thanks!|

  132. Hey there I am so delighted I found your blog, I really found you by mistake, while I was researching on Aol for something else, Nonetheless I am here now and would just like to say cheers for a fantastic post and a all round interesting blog (I also love the theme/design), I don’t have time to read it all at the minute but I have saved it and also included your RSS feeds, so when I have time I will be back to read more, Please do keep up the excellent work.|

  133. Hello there! This is my 1st comment here so I just wanted to give a quick shout out and tell you I really enjoy reading through your articles. Can you suggest any other blogs/websites/forums that go over the same topics? Many thanks!|

  136. Hi, i think that i saw you visited my site so i came to “return the favor”.I am attempting to find things to improve my website!I suppose its ok to use some of your ideas!!|

  140. I have not checked in here for some time because I thought it was getting boring, but the last several posts are good quality so I guess I will add you back to my everyday bloglist. You deserve it my friend 🙂

  141. I’ve been surfing on-line more than 3 hours nowadays, but I never discovered any interesting article like yours. It’s beautiful price sufficient for me. Personally, if all website owners and bloggers made good content as you did, the internet will probably be a lot more useful than ever before.|

  144. Hey are using WordPress for your site platform? I’m new to the blog world but I’m trying to get started and create my own. Do you require any coding expertise to make your own blog? Any help would be greatly appreciated!

  150. Hey there, I think your site might be having browser compatibility issues. When I look at your blog in Safari, it looks fine but when opening in Internet Explorer, it has some overlapping. I just wanted to give you a quick heads up! Other then that, great blog!|

  152. Greetings from Ohio! I’m bored to death at work so I decided to check out your blog on my iphone during lunch break. I really like the info you provide here and can’t wait to take a look when I get home. I’m surprised at how quick your blog loaded on my mobile .. I’m not even using WIFI, just 3G .. Anyways, superb blog!|

  155. I’ve been browsing online more than three hours today, yet I never found any interesting article like yours. It’s pretty worth enough for me. Personally, if all web owners and bloggers made good content as you did, the web will be much more useful than ever before.|

  156. Ahaa, its nice discussion on the topic of this post here at this website, I have read all that, so now me also commenting at this place.|

  157. Woah! I’m really loving the template/theme of this website. It’s simple, yet effective. A lot of times it’s difficult to get that “perfect balance” between superb usability and appearance. I must say you’ve done a very good job with this. Also, the blog loads extremely fast for me on Internet explorer. Outstanding Blog!|

  158. Woah! I’m really loving the template/theme of this site. It’s simple, yet effective. A lot of times it’s very difficult to get that “perfect balance” between user friendliness and appearance. I must say you’ve done a very good job with this. In addition, the blog loads extremely quick for me on Opera. Superb Blog!|

  159. Hey just wanted to give you a quick heads up. The text in your content seem to be running off the screen in Firefox. I’m not sure if this is a formatting issue or something to do with internet browser compatibility but I figured I’d post to let you know. The style and design look great though! Hope you get the problem solved soon. Kudos|

  160. Hey there would you mind letting me know which hosting company you’re using? I’ve loaded your blog in 3 completely different browsers and I must say this blog loads a lot quicker then most. Can you suggest a good hosting provider at a reasonable price? Many thanks, I appreciate it!|

  161. It’s appropriate time to make some plans for the future and it is time to be happy. I have read this post and if I could I desire to suggest you few interesting things or advice. Perhaps you could write next articles referring to this article. I want to read even more things about it!|

  163. Does your site have a contact page? I’m having trouble locating it but, I’d like to send you an e-mail. I’ve got some suggestions for your blog you might be interested in hearing. Either way, great blog and I look forward to seeing it expand over time.|

  164. Amazing blog! Is your theme custom made or did you download it from somewhere? A theme like yours with a few simple tweeks would really make my blog jump out. Please let me know where you got your theme. Thanks|

  165. My partner and I stumbled over here coming from a different website and thought I should check things out. I like what I see so i am just following you. Look forward to going over your web page for a second time.|

  169. Hello would you mind letting me know which hosting company you’re utilizing? I’ve loaded your blog in 3 different web browsers and I must say this blog loads a lot quicker then most. Can you suggest a good internet hosting provider at a honest price? Thanks, I appreciate it!|

  170. Hi there just wanted to give you a quick heads up. The words in your content seem to be running off the screen in Firefox. I’m not sure if this is a formatting issue or something to do with web browser compatibility but I thought I’d post to let you know. The style and design look great though! Hope you get the problem fixed soon. Many thanks|

  171. I was suggested this website by my cousin. I am not sure whether this post is written by him as no one else know such detailed about my problem. You are incredible! Thanks!|

  173. I am curious to find out what blog system you have been working with? I’m experiencing some small security issues with my latest website and I would like to find something more risk-free. Do you have any suggestions?|

  174. Today, I went to the beachfront with my kids. I found a sea shell and gave it to my 4 year old daughter and said “You can hear the ocean if you put this to your ear.” She put the shell to her ear and screamed. There was a hermit crab inside and it pinched her ear. She never wants to go back! LoL I know this is totally off topic but I had to tell someone!|

  175. Hi, I do think this is a great web site. I stumbledupon it 😉 I may come back yet again since I book marked it. Money and freedom is the best way to change, may you be rich and continue to help others.|

  176. Hi there would you mind letting me know which webhost you’re working with? I’ve loaded your blog in 3 completely different internet browsers and I must say this blog loads a lot quicker then most. Can you recommend a good hosting provider at a reasonable price? Kudos, I appreciate it!|

  178. Hi would you mind sharing which blog platform you’re using? I’m going to start my own blog in the near future but I’m having a tough time deciding between BlogEngine/Wordpress/B2evolution and Drupal. The reason I ask is because your design seems different then most blogs and I’m looking for something completely unique. P.S Sorry for getting off-topic but I had to ask!|

  179. I am sure this post has touched all the internet viewers, its really really good paragraph on building up new webpage.|

  180. Hey just wanted to give you a quick heads up. The text in your post seem to be running off the screen in Internet explorer. I’m not sure if this is a formatting issue or something to do with browser compatibility but I thought I’d post to let you know. The design look great though! Hope you get the issue fixed soon. Many thanks|

  181. Hi colleagues, how is everything, and what you want to say on the topic of this post, in my view its really amazing designed for me.|

  183. Hey would you mind letting me know which webhost you’re utilizing? I’ve loaded your blog in 3 completely different internet browsers and I must say this blog loads a lot faster then most. Can you recommend a good internet hosting provider at a reasonable price? Thanks, I appreciate it!|

  184. I got this web site from my buddy who shared with me about this web site and now this time I am browsing this site and reading very informative content here.|

  185. Aw, this was a very nice post. Spending some time and actual effort to generate a very good article… but what can I say… I put things off a lot and don’t manage to get nearly anything done.|

  187. You really make it seem so easy with your presentation but I find this matter to be actually something which I think I would never
    understand. It seems too complex and extremely broad for me.
    I am looking forward for your next post, I
    will try to get the hang of it!

  189. Hey I know this is off topic but I was wondering if you knew of any widgets I could
    add to my blog that automatically tweet my newest twitter updates.
    I’ve been looking for a plug-in like this for quite some time and was hoping maybe you would have some experience with something like
    this. Please let me know if you run into anything. I truly
    enjoy reading your blog and I look forward to your new updates.

  190. Hi, I do think this is a great website. I stumbledupon it 😉 I may come back once again since I bookmarked it. Money and freedom is the best way to change, may you be rich and continue to help other people.|

  191. As predicted all space coffins and space funeral homes will blow up in space around the year 2080 to year 3000 due to envy. That’s why we need the 777 immortality smart contracts to remind the living to have faith through time. The 777 immortality smart contract is the trust system that can save someone you love through time.

  193. Greetings from Carolina! I’m bored to tears at work so I decided to check out your website on my iphone during lunch break. I love the info you present here and can’t wait to take a look when I get home. I’m shocked at how fast your blog loaded on my cell phone .. I’m not even using WIFI, just 3G .. Anyhow, fantastic site!|

  195. Pretty! This has been a really wonderful article. Thank you for providing this information.|

  198. I’m very happy to uncover this great site. I wanted to thank you for ones time for this wonderful read!! I definitely savored every bit of it and I have you saved as a favorite to look at new things on your blog.|

  200. That is a really good tip especially to those fresh to the blogosphere.
    Simple but very precise info… Thank you for
    sharing this one. A must read article!

  203. Hello there, just became aware of your blog through Google, and found that it’s really informative. I am going to watch out for brussels. I’ll appreciate if you continue this in future. Many people will be benefited from your writing. Cheers!|

  205. Its like you read my mind! You appear to know so much about this, like you wrote the book in it or something. I think that you could do with some pics to drive the message home a bit, but other than that, this is wonderful blog. A fantastic read. I will certainly be back.|

  206. I visited several websites but the audio quality for audio songs present at this web site is genuinely excellent.|

  208. each time i used to read smaller posts which also clear their motive, and that is also happening with this post which I am reading now.|

  209. When someone writes an paragraph he/she keeps the idea of a user in his/her brain that how a user can be aware of it. So that’s why this paragraph is amazing. Thanks!|

  210. Wow, superb blog layout! How long have you been blogging for?
    you make blogging look easy. The overall look of your web site is great, as well as the content!

  211. Hi, i believe that i saw you visited my web site so i got here to go back the want?.I’m attempting to find things to improve my web site!I guess its good enough to use a few of your ideas!!|

  212. Hi there, simply was aware of your weblog through Google, and found that it is truly informative. I am going to watch out for brussels. I will be grateful should you continue this in future. Many other folks can be benefited out of your writing. Cheers!|

  213. A fascinating discussion is definitely worth comment.
    I believe that you ought to write more about this subject matter,
    it might not be a taboo matter but usually folks don’t talk about these topics.
    To the next! All the best!!

  214. I just like the helpful info you provide on your articles.
    I will bookmark your blog and check once more here regularly.
    I am relatively sure I’ll be told lots of new stuff proper right
    here! Best of luck for the following!

  215. Howdy would you mind sharing which blog platform you’re working with? I’m planning to start my own blog soon but I’m having a tough time making a decision between BlogEngine/Wordpress/B2evolution and Drupal. The reason I ask is because your design seems different then most blogs and I’m looking for something unique. P.S My apologies for being off-topic but I had to ask!|

  216. Hello there! Do you know if they make any plugins
    to safeguard against hackers? I’m kinda paranoid about losing everything
    I’ve worked hard on. Any tips?

  217. I have been surfing online more than 4 hours today, yet I never found any interesting article like yours.

    It’s pretty worth enough for me. Personally, if all web owners and bloggers made good
    content as you did, the web will be much more useful than ever before.

  218. I am sure this piece of writing has touched all the internet visitors, its really really pleasant article on building up new web site.|

  219. Ahaa, its fastidious conversation about this article here at this website, I have read all that, so at this time me also commenting at this place.|

  220. Hi, I do think this is a great website. I stumbledupon it 😉 I’m going to return once again since I book-marked it. Money and freedom is the best way to change, may you be rich and continue to guide other people.|

  222. I have been browsing online more than three hours lately, but I by no means discovered any interesting article like yours. It is beautiful price enough for me. In my view, if all webmasters and bloggers made good content material as you probably did, the internet will likely be a lot more helpful than ever before.|

  223. Hello! I simply want to give you a huge thumbs up for your excellent information you have got here on this post. I will be returning to your site for more soon.|

  224. I’ve been surfing on-line more than three hours these days, but I by no means discovered any fascinating article like yours. It’s beautiful value sufficient for me. In my opinion, if all web owners and bloggers made just right content material as you did, the internet might be much more useful than ever before.|

  226. Appreciating the dedication you put into your site and detailed information you provide.
    It’s nice to come across a blog every once in a while that isn’t the same out of date
    rehashed information. Wonderful read! I’ve bookmarked your site and I’m including your RSS feeds
    to my Google account. adreamoftrains best web hosting sites

  227. It’s really a cool and useful piece of info. I’m glad that you shared this helpful info with us. Please stay us informed like this. Thank you for sharing.|

  228. I’m extremely pleased to uncover this site. I want to to thank you for your time just for this wonderful read!! I definitely appreciated every bit of it and i also have you saved to fav to look at new stuff in your site.

  229. This is a very good tip especially to those new to the blogosphere. Simple but very accurate info?Thank you for sharing this one. A must read article!

  231. Hello there I am so excited I found your site, I really found you by mistake, while I was looking on Aol for something else, Anyhow I am here now and would just like to say thank you for a remarkable post and a all round exciting blog (I also love the theme/design), I don’t have time to look over it all at the minute but I have bookmarked it and also included your RSS feeds, so when I have time I will be back to read much more, Please do keep up the awesome job.|

  232. I think the admin of this site is in fact working hard in support of his web site, since here every information is quality based data.|

  233. Hello! I’ve been reading your website for a long time now and finally got the bravery to go ahead and give you a shout out from Humble Tx! Just wanted to tell you keep up the excellent job!|

  234. Thanks , I have recently been searching for info about this topic for ages and yours is the best I’ve came upon so far. But, what in regards to the conclusion? Are you sure concerning the source?|

  235. hey there and thank you for your info – I have certainly picked up something new from right here.
    I did however expertise a few technical issues using this website, since I
    experienced to reload the site a lot of times previous to I could get it to load
    correctly. I had been wondering if your hosting is
    OK? Not that I am complaining, but sluggish loading instances times will often affect your placement in google and can damage your high-quality score if ads and marketing with Adwords.
    Well I am adding this RSS to my email and could look
    out for much more of your respective intriguing content.

    Ensure that you update this again very soon.

  236. Hola! I’ve been reading your website for some time now and finally got the courage to go ahead and give you a shout out from Porter Tx! Just wanted to say keep up the great work!|

  237. Thank you for every other excellent article. Where else may just anybody get that type of information in such an ideal approach of writing? I have a presentation subsequent week, and I’m on the look for such info.|

  238. I believe that is among the such a lot vital info for me. And i am satisfied reading your article. But should remark on some common issues, The site taste is perfect, the articles is truly nice : D. Good process, cheers|

  239. I have been surfing online more than three hours today, yet I never found any interesting article like yours. It’s pretty worth enough for me. In my opinion, if all website owners and bloggers made good content as you did, the net will be a lot more useful than ever before.|

  240. Spot on with this write-up, I absolutely believe this site needs a lot more attention. I’ll probably be back again to read more, thanks for the info!|

  241. Terrific article! This is the type of info that are meant to be shared across the internet. Shame on the seek engines for not positioning this submit higher! Come on over and seek advice from my site . Thanks =)|

  243. Thanks for some other magnificent post. The place else may anyone get that type of information in such an ideal approach of writing? I’ve a presentation subsequent week, and I’m on the look for such info.|

  244. great submit, very informative. I’m wondering why the opposite experts of this sector do not realize this. You must proceed your writing. I’m confident, you’ve a huge readers’ base already!|

  247. hello!,I really like your writing so a lot! share we keep up a correspondence more about your post on AOL? I require a specialist in this house to resolve my problem. May be that is you! Taking a look ahead to see you. |

  250. Greetings! Very useful advice within this post! It’s the little changes that produce the greatest changes. Thanks for sharing!

  252. I am sure this piece of writing has touched all the internet users, its really really fastidious paragraph on building up new website.|

  253. It is perfect time to make some plans for the future and it is time to be happy. I have read this post and if I could I desire to suggest you few interesting things or advice. Perhaps you could write next articles referring to this article. I want to read more things about it!|

  255. Every weekend i used to visit this web site, as i wish for enjoyment, since this this web page conations in fact fastidious funny stuff too.|

  256. Its such as you learn my thoughts! You appear to grasp a lot about this, like you wrote the e book in it or something. I believe that you just could do with a few percent to drive the message home a little bit, however instead of that, that is excellent blog. A fantastic read. I will definitely be back.|

  257. An impressive share! I have just forwarded this onto a coworker who has been conducting a little homework on this. And he actually ordered me breakfast due to the fact that I stumbled upon it for him… lol. So allow me to reword this…. Thanks for the meal!! But yeah, thanx for spending the time to talk about this matter here on your internet site.

  259. I need to to thank you for this good read!! I definitely enjoyed every little bit of it. I have got you bookmarked to look at new stuff you postÖ|

  260. Amazing blog! Do you have any hints for aspiring writers?
    I’m hoping to start my own website soon but I’m a little
    lost on everything. Would you suggest starting with a free platform like
    Wordpress or go for a paid option? There are so many choices out there that
    I’m totally overwhelmed .. Any tips? Cheers!
    2CSYEon cheap flights

  261. Wonderful goods from you, man. I’ve understand your stuff previous to and you’re just extremely excellent.
    I actually like what you have acquired here,
    really like what you’re saying and the way in which you say it.
    You make it enjoyable and you still take care of to keep it wise.
    I can not wait to read far more from you. This is actually a tremendous site.
    3gqLYTc cheap flights

  262. Hi there! This blog post could not be written much better! Looking through this post reminds me of my previous roommate! He always kept talking about this. I’ll forward this information to him. Pretty sure he’ll have a great read. I appreciate you for sharing!|

  263. This is very interesting, You are a very skilled blogger. I’ve joined your rss feed and look forward to seeking more of your magnificent post. Also, I have shared your web site in my social networks!|

  264. Hi, every time i used to check weblog posts here early in the dawn, because i like to find out more and more.
    3aN8IMa cheap flights

  265. Greetings from Carolina! I’m bored to death at work so I decided to browse your site on my iphone during lunch break. I enjoy the information you provide here and can’t wait to take a look when I get home. I’m shocked at how fast your blog loaded on my cell phone .. I’m not even using WIFI, just 3G .. Anyhow, superb site!|

  271. You made some really good points there. I checked on the net for more info about the issue and found most individuals will go along with your views on this site.

  275. Hello there! This article could not be written any better!

    Looking through this post reminds me of my previous roommate!

    He continually kept talking about this. I am going to send this post to him.
    Fairly certain he’s going to have a good read. I appreciate you for sharing!

  276. My partner and I absolutely love your blog and find the majority of your post’s to be just what I’m looking for. can you offer guest writers to write content available for you? I wouldn’t mind composing a post or elaborating on some of the subjects you write regarding here. Again, awesome website!|

  277. That is a really good tip particularly to those new to the blogosphere. Simple but very accurate info… Thanks for sharing this one. A must read post!|

  279. I enjoy what you guys tend to be up too. This type of clever work and exposure! Keep up the excellent works guys I’ve you guys to our blogroll.|

  281. You really make it seem really easy with your presentation but
    I to find this matter to be actually something that I feel I would never understand.

    It seems too complex and extremely wide for me. I’m taking a look forward on your
    next submit, I will try to get the hang of it!

  282. Admiring the commitment you put into your blog and detailed information you present. It’s awesome to come across a blog every once in a while that isn’t the same unwanted rehashed information. Great read! I’ve bookmarked your site and I’m adding your RSS feeds to my Google account.|

  284. Hello would you mind sharing which blog platform you’re working with? I’m going to start my own blog in the near future but I’m having a tough time deciding between BlogEngine/Wordpress/B2evolution and Drupal. The reason I ask is because your design seems different then most blogs and I’m looking for something unique. P.S Sorry for being off-topic but I had to ask!|

  286. What’s Happening i am new to this, I stumbled upon this I’ve discovered It positively useful and it has aided me out loads. I hope to contribute & assist other customers like its aided me. Good job.|

  287. Way cool! Some very valid points! I appreciate you writing this write-up and the rest of the website is also really good.|

  289. I’m very happy to find this great site. I need to to thank you for ones time just for this wonderful read!! I definitely loved every little bit of it and i also have you book-marked to look at new things in your website.

  290. Does your website have a contact page? I’m having a tough time locating it but, I’d like to shoot you an e-mail. I’ve got some creative ideas for your blog you might be interested in hearing. Either way, great blog and I look forward to seeing it develop over time.|

  291. Have you ever thought about creating an ebook or guest authoring on other websites? I have a blog based upon on the same subjects you discuss and would love to have you share some stories/information. I know my readers would enjoy your work. If you are even remotely interested, feel free to send me an email.|

  292. Hi! I’m at work surfing around your blog from my new iphone 4!

    Just wanted to say I love reading through your blog and
    look forward to all your posts! Keep up the outstanding work!

  293. Have you ever thought about including a little bit more than just your articles? I mean, what you say is valuable and all. Nevertheless just imagine if you added some great graphics or videos to give your posts more, “pop”! Your content is excellent but with images and clips, this blog could definitely be one of the very best in its field. Superb blog!|

  294. I know this if off topic but I’m looking into starting my own weblog and was wondering what
    all is needed to get setup? I’m assuming having a
    blog like yours would cost a pretty penny?
    I’m not very web smart so I’m not 100% sure. Any tips or advice would
    be greatly appreciated. Thank you

  295. Hello There. I found your blog using msn. This is a
    really well written article. I will be sure to bookmark it and return to read more of your useful information. Thanks
    for the post. I’ll certainly comeback.

  296. I constantly emailed this webpage post page to all my associates, because if like to read it then my friends will too.|

  297. If you would like to grow your knowledge only keep visiting this web site and be updated with the most recent information posted here.|

  298. Piece of writing writing is also a excitement, if you be familiar with after that you can write if not it is difficult to write.|

  300. I blog frequently and I truly appreciate your information. This article has really peaked my interest. I’m going to bookmark your blog and keep checking for new information about once per week. I subscribed to your Feed too.|

  301. Hello there! I just would like to offer you a huge thumbs up for the excellent information you have got here on this post. I will be returning to your website for more soon.|

  302. I’m really inspired with your writing abilities as neatly as with the structure for your weblog. Is that this a paid theme or did you modify it your self? Either way keep up the excellent high quality writing, it’s rare to peer a nice weblog like this one these days..|

  304. Hi there! I’m at work surfing around your blog from my new iphone 3gs! Just wanted to say I love reading through your blog and look forward to all your posts! Carry on the great work!|

  305. Hi there! I just wanted to ask if you ever have any issues with hackers? My last blog (wordpress) was hacked and I ended up losing a few months of hard work due to no backup. Do you have any methods to stop hackers?|

  306. Hello would you mind letting me know which webhost you’re utilizing? I’ve loaded your blog in 3 different browsers and I must say this blog loads a lot faster then most. Can you suggest a good web hosting provider at a fair price? Kudos, I appreciate it!|

  307. It’s going to be finish of mine day, but before ending I am reading this impressive article to improve my knowledge.|

  308. I have been surfing online more than 3 hours today, yet I never found any interesting article like yours. It is pretty worth enough for me. In my opinion, if all website owners and bloggers made good content as you did, the internet will be much more useful than ever before.|

  309. Howdy! I know this is sort of off-topic however I needed to ask. Does running a well-established blog like yours take a large amount of work? I’m brand new to operating a blog however I do write in my diary every day. I’d like to start a blog so I can easily share my experience and views online. Please let me know if you have any recommendations or tips for new aspiring blog owners. Appreciate it!|

  310. Hello there! This article couldn’t be written any better! Reading through this post reminds me of my previous roommate! He continually kept preaching about this. I am going to send this information to him. Pretty sure he’s going to have a great read. Thank you for sharing!|

  311. Next time I read a blog, I hope that it does not disappoint me as much as this one. I mean, I know it was my choice to read through, however I genuinely thought you’d have something useful to say. All I hear is a bunch of crying about something that you could possibly fix if you were not too busy searching for attention.

  312. Hey there! I simply would like to give you a huge thumbs up for your excellent info you’ve got right here on this post. I will be coming back to your blog for more soon.|

  313. That is a good tip especially to those fresh to the blogosphere. Short but very precise info?Thank you for sharing this one. A must read post!

  314. Does your blog have a contact page? I’m having problems locating it but, I’d like to shoot you an email. I’ve got some ideas for your blog you might be interested in hearing. Either way, great site and I look forward to seeing it improve over time.|

  315. Hi, I do believe this is an excellent blog. I stumbledupon it 😉 I may return yet again since i have book marked it. Money and freedom is the greatest way to change, may you be rich and continue to guide others.|

  316. Fact of the future: There are a lot of people that would pay a minimum of $10,000,000 USD for each founder token of appreciation known as 777 immortality smart contract.

  317. Fantastic web site. A lot of helpful information here. I’m sending it to a few friends ans also sharing in delicious. And of course, thank you to your effort!|

  319. Fact of the future: There are a lot of people that would pay a minimum of $10,000,000 USD for each founder token of appreciation known as 777 immortality smart contract.

  320. Appreciation to my father who informed me on the topic of this webpage, this website is really awesome.|

  324. My spouse and I absolutely love your blog and find many of your post’s to be exactly I’m looking for. can you offer guest writers to write content in your case? I wouldn’t mind publishing a post or elaborating on some of the subjects you write regarding here. Again, awesome site!|

  327. Great weblog here! Also your web site a lot up fast! What host are you the use of? Can I get your associate hyperlink in your host? I wish my website loaded up as quickly as yours lol|

  328. Hey there! Someone in my Myspace group shared this site with us so I came to give it a look. I’m definitely loving the information. I’m bookmarking and will be tweeting this to my followers! Superb blog and wonderful design.|

  329. Aw, this was an exceptionally nice post. Taking a few minutes and actual effort to produce a good article… but what can I say… I put things off a whole lot and don’t manage to get anything done.|

  330. My spouse and I stumbled over here from a different page and thought I may as well check things out. I like what I see so i am just following you. Look forward to going over your web page yet again.|

  332. I am extremely impressed with your writing skills as well as with the layout on your blog. Is this a paid theme or did you customize it yourself? Anyway keep up the nice quality writing, it is rare to see a great blog like this one these days.|

  333. What a information of un-ambiguity and preserveness of valuable familiarity concerning unexpected emotions.|

  341. When I initially left a comment I appear to have clicked the -Notify me when new comments are added- checkbox and from now on whenever a comment is added I get four emails with the same comment. There has to be a way you can remove me from that service? Appreciate it!

  344. Superb site you have here but I was wondering if you knew of any user discussion forums that cover the same topics talked about in this article? I’d really love to be a part of online community where I can get opinions from other experienced individuals that share the same interest. If you have any suggestions, please let me know. Kudos!|

  346. First off I would like to say great blog! I had a quick question that I’d like to ask if you do not mind. I was interested to know how you center yourself and clear your mind before writing. I have had trouble clearing my mind in getting my ideas out there. I truly do take pleasure in writing however it just seems like the first 10 to 15 minutes are usually wasted just trying to figure out how to begin. Any ideas or hints? Many thanks!|

  347. Greetings! I know this is kind of off topic but I was wondering if you knew where I could locate a captcha plugin for my comment form? I’m using the same blog platform as yours and I’m having trouble finding one? Thanks a lot!|

  348. It is the best time to make a few plans for the longer term and it’s time to be happy. I’ve learn this post and if I may just I want to recommend you some interesting issues or tips. Perhaps you could write next articles relating to this article. I wish to read more things about it!|

  349. What i do not realize is if truth be told how you are now not actually a lot more well-preferred than you may be now. You’re very intelligent. You understand thus significantly relating to this subject, made me individually imagine it from so many varied angles. Its like women and men are not interested except it is one thing to do with Lady gaga! Your own stuffs great. At all times care for it up!|

  350. Greetings from Carolina! I’m bored at work so I decided to check out your website on my iphone during lunch break. I love the info you present here and can’t wait to take a look when I get home. I’m shocked at how fast your blog loaded on my mobile .. I’m not even using WIFI, just 3G .. Anyhow, good site!|

  352. Hey there! This is my first visit to your blog! We are a group of volunteers and starting a new initiative in a community in the same niche. Your blog provided us useful information to work on. You have done a extraordinary job!|

发表评论

电子邮件地址不会被公开。