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 division is not 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 false 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 100

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 false statement

☛ Related Questions:

• If a, b, c are integers and b ≠ 0 then, a × (b - c) = a × b - a × c
• (a + b) × c = a × c + a × b
• a × b = b × a. State whether the statements are true or false