Associative property of Addition and Multiplication


 
 
Concept Explanation
 

Associative property of Addition and Multiplication

Associative Property of Addition and Multiplication:

Associative Property of Addition:

When we add three or more whole numbers, the value of the sum remains the same. The order of addition of numbers is not important. Or, in other words, the numbers can be grouped in any manner. The sum remains the same. This is the associative property of addition.

If a, b, and c are three whole numbers, then a + (b + c) = (a + b) + c = (a + c) + b. For example, 10 + (5 + 12) = (10 + 5) + 12 = (10 + 12) + 5 = 27

Associative Property of Multiplication:

When we multiply three or more whole numbers, the value of the product remains the same when they are grouped in any manner. The associative property of multiplication holds for whole numbers. Thus, if ‘a’, ‘b’, and ‘c’ are three whole numbers, then a × (b × c) = (a × b) × c = (a × c) × b. For example, 6 × (7× 2) = (6 × 7) × 2 = (6 × 2) × 7 = 84.

Sample Questions
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Question : 1

Solve : 1446 X 0 X 8432

Right Option : D
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Question : 2

Simplify :  1935 X 782 X 15 = _______ .

Right Option : C
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Question : 3

The value of c in (18 + 9) + 45 = 18 + (9 + c) is ________ .

Right Option : C
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