# 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.

 3 × 4 = 12Mary has 3 packets of 4 candies each. 4 + 4 + 4 = 12 4 × 3 = 12Terry has 4 packets of 3 candies each.3 + 3 + 3 + 3 = 12

The product of two numbers does not change even if the order is changed.

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.

Let us multiply 5 by 1 5 groups of 1 object = 5 × 1 = 5 1 group of 5 objects = 1 × 5 = 5

The product of number 1 and any other number is the number itself.

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

Let us multiply 5 by 0.

5 × 0 means 5 groups of 0 objects.

5 × 0 = 0

The product of zero and any other number is zero.

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

Questions and Answers on Multiplication Properties:

1. Fill in the blanks using the properties of multiplication.

(i) 4 × 3 = ……… × 4

(ii) 8 × 1 = ………

(iii) 9 × 2 = 2 × ………

(iv) 7 × 5 = ……… × 7

(v) 4 × 0 = ………

(vi) 5 × 1 = ………

(vii) 1 × ……… = 0

(viii) 6 × 4 = 4 × ………

1. (i) 3

(ii) 8

(iii) 9

(iv) 5

(v) 0

(vi) 5

(vii) 0

(viii) 6

2. Match the picture with the multiplication fact.

 (i) 6 × 2(ii) 3 × 5(iii) 4 × 1(iv) 6 × 3(v) 5 × 1

2. (i) → 5

(ii) → 4

(iii) → 2

(iv) → 1

(v) → 3

3. Draw groups of any shape to match the correct answer. One has been done for you.

 (i) 3 × 3 (ii) 1 × 2 (iii) 5 × 1 (iv) 4 × 3