What are the properties of whole numbers part-3

Whole Numbers – Properties of Whole Numbers Part 3

• Associative Property of Whole Numbers
• Associative Property Under Addition
• Associative Property Under Multiplication
• Overview
• What’s Next?

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.

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

Just like in addition of whole numbers, the associative property holds true for multiplication of whole numbers.

Overview

Associative Property: Whole numbers are associative under addition and multiplication.

What’s next?

In the next segment of Class 6 Maths, we will see how to use the associative property of whole numbers to solve bigger multiplication problems.

Also Check

NCERT Solutions For Class 6 - All Subjects (2022-23)

CBSE Worksheets For Class 6 Maths (Chapter wise)