# (i) For any integer a, what is (-1) × a equal to ?

(ii) Determine the integer whose product with (-1) is

(a) -22 (b) 37 (c) 0

**Solution:**

i) ( -1 ) × a = -a (where a is any integer)

ii) ? × (-1) = -22

Let a be the required integer

a × (-1) = -22

-a = -22

a = 22

Putting the value of x in equation (1), we get

a × (-1) = -22

22 × (-1) = -22

(? × (-1) = 37

Let a be the required integer

a × (-1) = 37

- a = 37

a = -37

Putting the value of x in equation (1), we get

a × (-1) = 37

-37 × (-1) = 37

? × (-1) = 0

Let a be the required integer

a × (-1) = 0

- a = 0

a = 0

Putting the value of x in equation (1), we get

a × (-1) = 0

0 × (-1) = 0

0 × (-1) = 0 (Multipying any number with 0, we get product 0)

Hence, (c) 0 is the required integer.

**Video Solution:**

## (i) For any integer a, what is ( -1) × a equal to? (ii) Determine the integer whose product with (-1) is (a) -22 (b) 37 (c) 0

### NCERT Solutions Class 7 Maths - Chapter 1 Exercise 1.3 Question 3

i) For any integer a, what is ( -1) × a equal to? ii) Determine the integer whose product with (-1) is (a) -22 (b) 37 (c) 0

(i) The product of the given constant and variable is equal to -a; (ii) (a) 22; (b) -37; (c) 0