The squares of numbers are gotten when the number is multiplied by itself. When T is multiplied by T, that is T x T, it is being written as T² in a short form.
Some examples of Squares are:
0.3² = 0.3 x 0.3 = 0.09
2.5² = 2.5 x 2.5 = 6.25
7² = 7 x 7 = 49
0.5² = 0.5 x 0.5 = 0.25
Table of Squares of numbers
This is a table used to find the squares of numerals without using calculator. It is being used exactly the way they use logarithms table.
Both Decimal and whole numerals have their squares in the table but the position of the decimal point must be located carefully.
HOW TO USE TABLE OF SQUARES (squares of numbers):
If for instance you are told to find the Square of 3.677.
First thing to do here is to open your four figure table and locate where SQUARES OF NUMBERS is written.
Second step: Study the table and you will notice that it has two major columns, with the first having sub-columns running from Zero to Nine and the second from One to Nine which is the DIFFERENCE side.
Third step is to divide the figure (3.677) into three parts allowing only the very first part to have two digits and the rest one digit each. 36 -7 -7
Fourth step: look for 36 on the first column “under” 7 difference 7.
36 under 7 in the four figure table = 1347
Difference 7 = 5
Fifth step is to add up 1347 and 5 = 1352
Six step is how to place the decimal. Observe that the square of 3.677 will definitely lie between the square of 3 and 4.
Hence:
3.677² lies between 3² and 4² which is between 9 and 16.
Therefore 3.677² = 13.52
QUESTIONS AND SOLUTIONS: (squares of numbers)
From the table of squares, find the squares of the following figures.
Q1: 23
Solution:
Look for 23 under zero(0).
23 under zero = 5290
It lies between 23² and 24² which is between 529 and 576
So, 23² = 529
Q2: 6.91
Solution:
Look for 69 under 1
69 under 1 = 4775
Now, the placement of the decimal is crucial.
The answer will fall between 6² and 7² which is 36 and 49 = 47.75
Q3: 29.41
Solution:
Look for 29 under 4 and difference 1
29 under 4 = 8644
Difference 1 = 6
Add the two = 8644 + 6 = 8650
It lies between 29² and 30² which is between 841 and 900
Thus, 29.41² = 865
Q4: 9.463
Solution:
Look for 94 under 6, difference 3.
94 under 6 = 8949
Difference 3 = 6
Add the two 8949 + 6 = 8955
The answer lies between 9² and 10² which is between 81 and 100
= 89.55
Q5: 264
Look for 26 under 4
26 under 4 = 6970
It lies between 26² and 27² that is between 676 and 729
Hence, 264² = 69696
Q6: 2.007
Search for 20 under 0, difference 7
20 under 0 = 4000
Difference 7 = 29
Add 4000 + 29 = 4029
The answer will be between 2² and 3² that is between 4 and 9 = 4.029
Q7: 0.5413
Solution:
Search 54 under 1, difference 3
54 under 1 = 2927
Difference 3 = 3
Add the two = 2930
It falls between 0.5² and 0.6² that is between 0.25 and 0.36 = 0.293
Q8: 0.0674
Solution:
Look for 67 under 4
67 under 4 = 4543
The answer falls between 0.06² and 0.07² that is between 0.0036 and 0.0049
= 0.004543
Q9: 0.069
Solution:
Look for 69 under 0
= 4761
It lies between 0.06² and 0.07² that is between 0.0036 and 0.0049
= 0.004761
Q10: 3.461
Solution:
Look for 34 under 6, difference 1
34 under 6 = 1197
Difference 1 = 1
Add the two = 1198
The answer lies between 3² and 4² that is between 9 and 16.
= 11.98
Q11: 42.13
Solution:
Search for 42 under 1, difference 3
42 under 1 = 1772
Difference 3 = 3
Add both = 1775
It lies between 42² and 43² which is between 1764 and 1849
= 1775
Q12: 76.34
Solution:
Search for 76 under 3, difference 4
76 under 3 = 5822
Difference 4 = 6
Add both = 5828
It lies between 76² and 77² that is 5776 and 5929
Therefore 76.34² = 5828
Q13: 0.5147
Look for 51 under 4, difference 7
51 under 4 = 2642
difference 7 = 7
Add the two = 2649
It lies between 0.5² and 0.6² which is between 0.25 and 0.36 = 0.2649
Q14: 89.24
Solution:
Look for 89 under 2, difference 4
89 under 2 = 7957
difference 4 = 7
Add the both = 7964
The answer lies between 89² and 90² that is between 7921 and 8100
= 7964
Q15: 16.4
Solution:
Check 16 under 4
16 under 4 = 2690
The answer lies between 16² and 17² which is between 256 and 289
= 269
Q16: 0.0024
Solution:
Look for 24 under 0
24 under 0 = 5760
The answer lies between 0.002² and 0.003² that is between 0.000004 and 0.000009
= 0.00000576
Q17: 0.1006
Solution:
10 under 0 = 1000
Difference 6 = 13
Add up = 1013
It lies between 0.1² and 0.2² that is between 0.01 and 0.04 = 0.01013
Q18: 0.0008
Solution:
80 under 0 = 6400
It lies between 0.0008² and 0.0009² that is between 0.00000064 and 0.00000081 = 0.00000064
Q19: 0.0246
Solution:
24 under 6 = 6052
The answer lies between 0.02² and 0.03² which is between 0.0004 and 0.0009
= 0.0006052
Q20: 11.62
Solution:
11 under 6 = 1346
Difference 2 = 5
Add up = 1351
The answer lies between 11² and 12² which is between 121 and 144
= 135.1
Click here to see Mathematics past questions and answers on chibase.com.ng
It’s actually a nice and useful piece of information. I’m glad that
you simply shared this useful info with us.
Please keep us up to date like this. Thanks for sharing.
Intellectsolver is here to serve you… Thanks
When I originally left a comment I seem to have clicked the -Notify me when new comments are added- checkbox and from now
on whenever a comment is added I recieve four emails with the exact
same comment. Perhaps there is a way you can remove me from that service?
Cheers!
Thank you a lot for sharing this with all people you actually recognize what you’re speaking approximately!
Bookmarked.
I think the admin of this web site is genuinely
working hard in support of his site, since here every information is quality based
data.
That is the main reason the website is being created
Thank you for the good writeup. It in fact was a entertainment
account it. Look complex to more delivered agreeable from you!
By the way, how could we keep in touch?
You can contact us via [email protected]
Hey there I am so thrilled I found your blog page,
I really found you by accident, while I was looking on Bing for something else,
Anyhow I am here now and would just like to say thanks for a remarkable post and a all round interesting blog (I also love the theme/design),
I don’t have time to read through it all at the minute but I have book-marked it and
also added in your RSS feeds, so when I have time I will be
back to read more, Please do keep up the excellent job.
I appreciate your vote of thanks.
Howdy! I know this is kinda off topic however
, I’d figured I’d ask. Would you be interested in exchanging links or maybe guest authoring
a blog post or vice-versa? My website covers a lot of the same topics as yours
and I think we could greatly benefit from each other.
If you’re interested feel free to send me an e-mail.
I look forward to hearing from you! Terrific blog by the way!
You can contact me through [email protected], thanks for visiting this wonderful website of ours.
It’s really a nice and helpful piece of information. I am satisfied that you shared this useful info
with us. Please stay us informed like this.
Thank you for sharing.
Dear slot xo, you are welcome.
After checking out a handful of the blog posts on your web site,
I honestly appreciate your technique of writing a blog.
I book-marked it to my bookmark site list and
will be checking back in the near future. Please check
out my web site too and tell me what you think.
We will do that sooner than later, thanks for visiting.
hey there and thank you for your information – I’ve certainly picked up anything new from right here.
I did however expertise a few technical issues using this
web site, since I experienced to reload the website 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 slow loading instances times will
very frequently affect your placement in google and can damage
your quality score if advertising and marketing with Adwords.
Well I am adding this RSS to my email and could look out for a lot
more of your respective interesting content. Make sure you update this again very soon.
Thank you very much for visiting, we will see to that.
Everyone loves what you guys are usually up too. This type of clever work and reporting!
Keep up the amazing works guys I’ve added you guys to my personal blogroll.
Thank you very much for visiting this our wonderful website, we look forward to seeing you again.
Undeniably believe that which you stated. Your favorite justification appeared to be on the net the simplest thing to have in mind
of. I say to you, I certainly get irked even as people consider worries that they just do
not recognise about. You managed to hit the nail upon the highest and outlined out the whole
thing with no need side effect , other people
can take a signal. Will likely be again to get more.
Thanks
Thank you for the vote of thanks, keep on visiting our site for more nourished articles.
Hey! I know this is kinda off topic but I was wondering which blog platform are you using for this website?
I’m getting sick and tired of WordPress because I’ve had issues with hackers and I’m
looking at alternatives for another platform. I would be great if you
could point me in the direction of a good platform.
This is a really good tip especially to those new to the blogosphere.
Brief but very accurate information… Thanks for sharing this one.
A must read article!
Hello There. I found your blog using msn. This is a
really well written article. I will make sure to bookmark it
and come back to read more of your useful info. Thanks for the post.
I will definitely comeback.
I am genuinely thankful to the owner of this web page who has shared this fantastic paragraph at here.
Inspiring quest there. What happened after? Good luck!
Do you have a spam issue on this blog; I also am a blogger, and I was curious about your situation; we
have developed some nice practices and we are looking to exchange solutions with other folks, why
not shoot me an email if interested.
Thanks for a marvelous posting! I genuinely enjoyed reading it, you’re a great author.
I will be sure to bookmark your blog and may come back from now
on. I want to encourage you to continue your great posts, have a
nice evening!
Hey there! I just wanted to ask if you ever have any trouble with hackers?
My last blog (wordpress) was hacked and I ended up losing many months of hard work due to no
data backup. Do you have any solutions to prevent hackers?
If you desire to increase your knowledge simply
keep visiting this site and be updated with the latest gossip posted here.
Can you tell us more about this? I’d want to find out more details.
Hi! This post couldn’t be written any better! Reading through this
post reminds me of my good old room mate! He always kept chatting about this.
I will forward this article to him. Fairly certain he will have a good read.
Thanks for sharing!
It’s an amazing post for all the online users; they will take advantage from it I am sure.
Hi! Do you know if they make any plugins to help with Search Engine Optimization? I’m trying to get my
blog to rank for some targeted keywords but I’m
not seeing very good gains. If you know of any please share.
Thanks!
Excellent blog here! Also your site loads up fast! What host are you using?
Can I get your affiliate link to your host? I wish my
site loaded up as quickly as yours lol
This is a good tip particularly to those fresh to the blogosphere.
Simple but very precise info… Thanks for sharing this one.
A must read post!
With havin so much content do you ever run into any issues of
plagorism or copyright violation? My blog has a lot of unique content
I’ve either created myself or outsourced but it looks like
a lot of it is popping it up all over the internet without my permission. Do you know any solutions to help reduce content from being stolen?
I’d truly appreciate it.
Very great post. I simply stumbled upon your weblog and wished to say that I’ve really
enjoyed surfing around your blog posts. In any case I’ll be subscribing in your rss feed and I hope you write again very
soon!
We’re a group of volunteers and starting a new scheme in our community.
Your website provided us with valuable info to work on. You have done a formidable
job and our entire community will be grateful to you.
I every time spent my half an hour to read this weblog’s
content every day along with a mug of coffee.
Very shortly this web page will be famous among all blogging people, due to it’s fastidious articles
I pay a visit daily some blogs and sites to read posts, however this webpage presents quality based posts.
What’s up to every one, the contents existing at this site are
really awesome for people experience, well, keep up the nice
work fellows.
I’m not sure where you are getting your information, but great topic.
I needs to spend some time learning much more or understanding more.
Thanks for wonderful info I was looking for this info for my mission.
Hey very cool web site!! Man .. Excellent .. Amazing ..
I will bookmark your blog and take the feeds also?
I am satisfied to search out so many helpful info here in the publish, we’d
like develop more techniques on this regard, thanks for sharing.
. . . . .
What a material of un-ambiguity and preserveness of precious know-how about unpredicted feelings.
Your mode of telling the whole thing in this article is actually nice, all
be capable of without difficulty understand it, Thanks a lot.
My partner and I stumbled over here from a different
website and thought I might check things out. I like what I
see so now i am following you. Look forward to looking into your web page for a second time.
I constantly emailed this blog post page to all my contacts, since if like to read it then my
friends will too.
Magnificent website. A lot of helpful information here.
I am sending it to several buddies ans additionally sharing in delicious.
And naturally, thanks on your effort!
There’s definately a lot to know about this issue. I love all the points you’ve made.
I do not even know how I stopped up here, however I believed
this post was great. I do not realize who you are however definitely you are going to a famous blogger for those who are not already.
Cheers!
This blog was… how do you say it? Relevant!!
Finally I have found something which helped me.
Cheers!
It’s nearly impossible to find educated people on this topic, however, you
sound like you know what you’re talking about! Thanks