Solve using Properties of Multiplication

Using properties of multiplication, we can easily multiply a two-digit number with a one-digit number.

 

In order to do so, decompose one factor and multiply the other factor by its parts using distributive property.
 

According to the distributive property of multiplication,
 

a × (b + c) = ab + ac
 

Here, a, b, and c are any three numbers (not equal to zero).

 

For example: Let's find the product 16 × 6.

 

First decompose 16 as 16 = 10 + 6.

 

So, we have:
 

16 × 6 = (10 + 6) × 6

 

= (10 × 6) + (6 × 6)  [using distributive property]

 

= 60 + 36                  [using multiplication facts]

 

= 96

So, 16 × 6 = 96.