Squaring numbers near 100

Use this process to conveniently square numbers near and below 100, and near and above 100:

*To square numbers near and below 100:     ex. 942 = 8836

-From 100 subtract the number being squared.   100 – 94 = 6

-Square this difference. This yields the last two digits of the answer.   6 x 6 =_ _36

-Subtract the difference above from the number being squared. This yields the first digits of the answer.   94 – 6 = 88_ _

*To square numbers near and above 100:      ex. 107 x 107 = 11449

-From the number being squared subtract 100.   107-100=7

-Square this difference. This yields the last two digits of the answer.   ex. 7 x 7 =_ _49

-Add the difference above to the number being squared. This yields the first digits of the answer.   ex. 7 + 107 = 114_ _

Try these:  922 = 8464      982 = 9604      1032 x 103 = 10609      1112 = 12321

Author: David

I grew up near Clayton, AL and have lived over 30 years near Atlanta, GA. My interests include family, church, guitar, gardening, working with kids... and math! Life can be very interesting. My websites: chasingtrees.net mathshortcutblog.wordpress.com

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