# Find the Product using Multiplication Property

How to find the product using multiplication property?

1. Order property

When two numbers are multiplied we get a product. When the places of numbers are interchanged, their product remains the same, i.e., 3 × 5 = 5 × 3 = 15; 10 × 2 = 2 × 10 = 20.

This is called the order property for multiplication of numbers.

(i) 4 × 7 = 28 and 7 × 4 = 28.

So, 4 × 7 = 7 × 4 = 28

The orders of 4 and 7 are interchanged but product 28 remains the same.

(ii) 6 × 9 = 54 and 9 × 6 = 54.

So, 6 × 9 = 9 × 6 = 54

The orders of 6 and 9 are interchanged but product 54 remains the same.

2. Multiplication property of 1

The product of any number and one is the number itself.

1 × 1 = 1,      3 × 1 = 3,      5 × 1 = 5,      7 × 1 = 7,      9 × 1 = 9, etc.

3. Multiplication property of zero.

The product of any number and zero is 0 (zero).

0 × 1 = 0 ones is 0                            (0 = 0)                            = 1 × 0

0 × 2 = 0 twos are 0                       (0 + 0 = 0)                         = 2 × 0

0 × 3 = 0 threes are 0                   (0 + 0 + 0 = 0)                      = 3 × 0

0 × 4 = 0 four times are 0            (0 + 0 + 0 + 0 = 0)                   = 4 × 0

0 × 5 = 0 five times are 0          (0 + 0 + 0 + 0 + 0 = 0)                = 5 × 0

Thus, 0 × 1 = 0 × 2 = 0 × 3 = 0 × 4 = 0 × 5 = 0

9 × 0 = 0, 8 × 0 = 0, 7 × 0 = 0, 13 × 0 = 0, 19 × 0 = 0

Therefore, to find the product using multiplication property it’s very important to know order property of multiplication, multiplication property of 1 and zero.