Multiplicative inverse of a negative rational number is
(a) a positive rational number
(b) a negative rational number
(c) 0
(d) 1

Solution:

Multiplicative inverse of a rational number is which when multiplied with a rational number gives result 1.

So, if given number is negative rational

Then the other number would also be negative but reciprocal of it

Henceforth, it gives 1

Given: a rational number of the form -p/q

Its reciprocal is obtained just by flipping the numerator and the denominator with no change in the signs. Reciprocal = -q/p, which is a negative rational number.

✦ Try This: Multiplicative inverse of -1/4 is

Let it be x

(-1/4) × x = 1

x = -4/1

Hence, the multiplicative inverse is -4.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 1

NCERT Exemplar Class 8 Maths Chapter 1 Problem 10

Multiplicative inverse of a negative rational number is (a) a positive rational number, (b) a negative rational number, (c) 0, (d) 1

Summary:

Multiplicative inverse of a negative rational number is also a negative rational number

☛ Related Questions:

• If x + 0 = 0 + x = x, which is rational number, then 0 is called (a) identity for addition of ration . . . .
• To get the product 1, we should multiply 8/21 with (a) 8/21, (b) -8/21, (c) 21/8, (d) -21/8
• - (-x) is same as (a) - x, (b) x, (c) 1/x, (d) -1/x