Page 43 - Maths Class 04

Property 2 : Associative Property of Multiplication

When three or more numbers Associative property

are multiplied, the product is is also called as
grouping property.
the same regardless of the

grouping of the factors.

i.e., (a × b) × c = a × (b × c)

Example : Solve : (22 × 5) × 20 and 22 × (5 × 20)

Solution : (22 × 5) × 20 = 110 × 20 = 2200

22 × (5 × 20) = 22 × 100 = 2200

Thus, we concluded that (22 × 5) × 20 = 22 × (5 × 20).

Property 3 : Multiplication Property of One

The product of any number and one is that number.

i.e., a × 1 = 1 × a = a

Example : Solve : 312 × 1, 458 × 1, 82 × 1 and 22813 × 1

Solution :
3 1 2 4 5 8 8 2 2 2 8 1 3

× 1 × 1 × 1 × 1

3 1 2 4 5 8 8 2 2 2 8 1 3

We concluded that : H This property is also

called Identity property
312 × 1 = 312
of multiplication.
458 × 1 = 458 H Identity of multiplication

is 1.
82 × 1 = 82

22813 × 1 = 22813

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