Here's a round-about way
of multiplying two numbers
whereby we spread the numbers
further apart. This may have
greater purpose other than amusement.
What purpose that is, is up to you.
67 times 56 is the problem.
Okay, add 3 to 67 for 70.
Then subtract 3 from 56 for 53.
Now multiply 70 times 53 in head if can.
3710 is 70 times 53.
Now because we spread 67 and 56 apart,
then 3710 is smaller than the answer we want.
This is an important point.
Because if we had made the 2 numbers go
closer together, then the product (times'ing them)
would have been bigger than the real answer
we are looking for.
So now we have to find out how far off
we are from the right answer, and add that onto
the 3710. To do this, we must subtract two
funny things.
A.) 67 - 56 = 11
11 is 5 + 6, so 5 times 6 = 30
B.) 70 - 53 = 17
17 is 8 + 9, so 8 times 9 = 72
(I chose 5 and 6 for 11 because it is close to half of 11)
(Also 8 and 9 are close to half of 17. This is necessary.)
Now take the B or 72 and subtract A or 30 from it.
72 - 30 = 42
That is the funny number we have to add to 3710.
3710 + 42 = 3752, and that is the answer to the original problem.
So 56 times 67 should be 3752.