Multiplying together numbers just below 100

To multiply together numbers close to and below 100:   ex.  96 x 98 = 9408

-Subtract each number being multiplied from 100 and multiply these differences together. This yields the last two digits of the answer.   ex. 100 – 96 = 4    100 – 98 =2       4 x 2 =_ _ 08

-Add the differences above and subtract from 100. This yields the first 2 digits of the answer.   ex. 4 + 2 = 6    100 – 6 = 94_ _

*An alternate last step: You can take the difference from 100 of one number being multiplied and subtract this from the other number being multiplied (subtract because you are below 100).    96 – 2 and 98 – 4 give the same result as 100 – (2 + 4). Either way is fine.

Try these:  93 x 97 = 9021      94 x 88 = 8272      97 x 97 = 9409

 

To multiply together numbers close to and above 100:    ex. 107 x 102 = 10914

-Follow step one above:    107 – 100 = 7      102 – 100 = 2         7 x 2 =_ _ _14

-Begin step two above, adding the differences, but this time add this to 100. This yields the first three numbers of the answer.    ex.  (7 + 2) + 100 = 109_ _

Try these:     109 x 111 = 12099     103 x 105 = 10815      112 x 112 = 12544

*An alternate last step: You can take the difference from 100 of one number being multiplied and add it to the other number being multiplied (add because you are above 100).   107+2 and 102+7 give the same result as (7 + 2) + 100. Either way is fine.

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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