74 × 10 = 740
1 × 7 = 7
740 + 7 = 747
Easy. Now let’s use 10 and 80 as reference numbers.
There was not much difference in this case, but if you have a large number to subtract you may find it
easier to choose your reference numbers so that you end your calculation with an addition.
You could also solve this problem using 10 and 100 as reference numbers. Let’s try it.
There are many ways you can use these methods to solve problems. It is not a matter of which
method is right but which method is easiest, depending on the particular problem you are trying to
solve.
Test yourself
Try these problems by yourself:
a) 9 × 68 =
b) 8 × 79 =
c) 94 × 192 =
d) 98 × 168 =
Write them down and calculate the answers, and then see if you can do them all in your head. With practice it becomes easy. Here
are the answers:
a) 612
b) 632
c) 18,048
d) 16,464
Easy multiplication by 9
It is easy to use this method to multiply any number from 1 to 1,000 by 9.
Let’s try an example:
76 × 9 =
We use 10 as our reference for 9 and 80 as our reference for 76. We can rewrite the problem like this:
We subtract 8 from 76 (76 − 10 = 66, plus 2 is 68). Multiply 68 by the base reference, 10, which
equals 680. Now multiply the numbers in the original circles, and add the result to 680.