MathsWhole NumbersWhole Numbers – Properties of Whole Numbers Part 3

Whole Numbers – Properties of Whole Numbers Part 3

In the previous segment, we learnt about the Commutative property of whole numbers. In this segment, we will learn about the Associative property of whole numbers.

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    Associative property of whole numbers

    Associate means to connect something. To check whether the whole numbers are associative, we connect the numbers in a given mathematical expression by putting brackets around them. This means the numbers inside the brackets have to be solved first.

    Associative property – Addition

    Consider the following expression: 1 + 2 + 3

    Case 1: A bracket is put around the first two numbers, (1 + 2) + 3.

    The quantity present in the bracket is to be solved first. Thus solving this expression will give:

    (1 + 2) + 3 = 3 + 3 = 6

    Case 2: A bracket is put around the second and the third number, 1 + (2 + 3). Once again, the bracket has to be solved first. This gives the answer as:

    1 + (2 + 3) = 1 + 5 = 6

    In both cases, the answer remains the same. Thus, we can say that whole numbers under addition are associative.

    Associative property – Multiplication

    Consider this example: 4 × 5 × 6

    Case 1: 4 × 5 × 6

    This will give the solution as: (4 × 5) × 6 = 20 × 6 = 120

    Case 2: 4 × 5 × 6

    Solving this gives: 4 × (5 × 6) = 4 × 30 = 120

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