(a + b) × c = a × c + a × b

Solution:

The given expression is (a + b) × c = a × c + a × b

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

(a + b) × c = a × c + a × b

On solving LHS part we get

(a × c) + (b × c) ≠ a × c + a × b

Therefore, using the integer rules, we observed that (a + b) × c = a × c + a × b is a false statement.

✦ Try This: State whether the statement is true or false. (7 + 8) × 9 = 7 × 9 + 7 × 8.

We can apply integer rules and the multiplication rules to identify whether (7 + 8) × 9 = 7 × 9 + 7 × 8 is true or false

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

NCERT Exemplar Class 7 Maths Chapter 1 Exercise Problem 98

(a + b) × c = a × c + a × b.

Summary:

After applying the integer rules along with considering an illustration we examined that (a + b) × c = a × c + a × b is a false statement

☛ Related Questions:

• (-1) is not a multiplicative identity of integers
• 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