From the BEATCALC
mailing list:
a weekly service from B. Lee Clay,
archived here by the Math Forum.
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Multiply the sum and difference
of a 2-
and
a 1-digit number
Choose a two-digit multiple of 10 and a single-digit number (1-9).
Add the two numbers
Find their difference (subtract the smaller from the larger).
Multiply the sum and the difference by squaring the two numbers and finding the
difference.
Example:
If the numbers selected are 80 and 3:
Add the numbers: 80 + 3 = 83.
Subtract 3 from 80: 80 - 3 = 77.
80 x 80 - 3 x 3 = 6400 - 9 = 6391.
So 83 x 77 = 6391.
See the pattern?
If the numbers selected are 60 and 8:
Add the numbers: 60 + 8 = 68.
Subtract 8 from 60: 60 - 8 = 52.
60 x 60 - 8 x 8 = 3600 - 64 = 3536.
So 68 x 52 = 3536.
Practice and you will be able to multiply sums and differences quickly and accurately.