Multiplying two two-digit numbers that end in 5 and have a difference of 10

 

Ex.1  35 x 45 =____         Ex.2  75 x 85 =____          Ex.3  15 x 25 =____

 

Add one to the highest tens digit, and multiply this times the lower tens digit. This yields the first two digits in the answer. In Ex.1, add 1 to 4 for (1 + 4 = 5). Then 5 x 3 = 15. In Ex.2, add 8 + 1 = 9 and then 9 x 7 = 63.

Ex.1  35 x 45 = 15___          Ex.2  75 x 85 = 63___           Ex.3  15 x 25  =3___

 

The last digits of the answer is always 75.

Ex.1  35 x 45 = 1575        Ex.2  75 x 85 = 6375       Ex.3  14 x 25 = 375

 

 

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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