MathsIntegersPROPERTIES OF INTEGERS – Part 3

PROPERTIES OF INTEGERS – Part 3

Table of Contents

  • Associative Property of Integers
    • Addition and Multiplication
    • Subtraction and Division
  • Summary
  • What’s Next?

In the previous segment, we learned about the Commutative property of integers. In this segment, we will learn about the Associative property.

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    Associative Property of Integers

    Addition and Multiplication

    It’s easy to solve mathematical operations like these:

    20 + 12 = 32

    9 x 5 = 45

    They’re simple addition or multiplication problems because there are only two integers to be added or multiplied.

    Now take a look at these mathematical operations:

    7 + 12 + 3

    5 x 2 x (-1)

    In such cases, we use mathematical brackets like ( ), [ ] and { } to group any two integers together.

    For example 7 + 12 + 3, can be grouped as (7 + 12) + 3 or 7 + (12 + 3) Let us now solve these two expressions.

    (7 + 12) + 3 = (19) + 3

    = 22

    7 + (12 + 3) = 7 + (15)

    = 22

    In both cases, the answer is 22. It means the grouping of the integers does not change the results. This is because of the associative property of addition.

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