## Class Room |

Multipying a two-digit number with a single digit - here are the tricks.

Let us say you want to multiply:

We can break the problem into two simpler multiplications and one addition, like this:

Alternatively, we could have broken the problem into two simpler multiplications and one subtraction, like this:

We can extend this technique to multiplying a three-digit number by a one-digit number, as shown in the following example

Splitting the problem as above makes the multiplication simpler because of two reasons:

- We can do the calculations left to right.
- The units digit in the first step is 0, thereby simplifying the multiplication to a single digit multiplication (e.g. 57 is broken down as 50 and 7.)

Note that these techniques work because of the distributive law on multiplication. The distributive law
of multiplication states that

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