a × b = b × a. State whether the statements are true or false

Solution:

The given expression is a × b = b × a.

Here, please note that the multiplication is commutative for integers, a × b = b × a

Now let us put the integer rules to identify whether a × b = b × a is true or false.

Let us consider a = 4 and b = 7.

On substituting the values of a and b in a × b = b × a we have,

4 × 7 = 7 × 4

Therefore, using the integer rules, we observed that a × b = b × a is a true statement.

✦ Try This: State whether the statement is true or false. 71 × 83 = 83 × 71.

We can apply integer rules and the division rules to identify whether 71 × 83 = 83 × 71 is true or false.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 1

NCERT Exemplar Class 7 Maths Chapter 1 Exercise Problem 99

a × b = b × a. State whether the statements are true or false.

Summary:

After applying the integer rules along with considering an illustration we examined that a × b = b × a is a true statement.

☛ Related Questions:

• 99 × 101 can be written as (100 - 1) × (100 + 1)
• If a, b, c are integers and b ≠ 0 then, a × (b - c) = a × b - a × c
• (a + b) × c = a × c + a × b