# (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) For any integer a, (-1) × a is equal to - a as shown below.

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

ii) (a) ? × (-1) = -22

Let a be the required integer

a × (-1) = -22 -------- (1)

-a = -22

a = 22

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

a × (-1) = -22

22 × (-1) = -22

Thus, the required integer is 22.

(b) ? × (-1) = 37

Let a be the required integer

a × (-1) = 37 ----------- (2)

- a = 37

a = -37

Putting the value of a in equation (2), we get

a × (-1) = 37

-37 × (-1) = 37

Thus, the required integer is -37.

(c) ? × (-1) = 0

Let a be the required integer

a × (-1) = 0 ------------ (3)

- a = 0

a = 0

Putting the value of a in equation (3), we get

a × (-1) = 0

0 × (-1) = 0

0 × (-1) = 0 (Multipying any number with 0, gives the result as 0)

Thus, the required integer is 0.

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

**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

**Summary:**

i) For any integer a, the value of ( -1) × a is equal to - a. ii) The integer whose product with (-1) is (a) -22 (b) 37 (c) 0 are (a) 22; (b) -37 and (c) 0 respectively.

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