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# Verify that -(-x) = x for

(i) x = 11/15 (ii) x = -13/17

**Solution:**

Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0.

The negative of a negative rational number is the same rational number.

(i) x = 11/15

-(-x) = -(-11/15)

= 11/15

= x

Hence proved

(ii) x = -13/7

-(-x) = -[-(-13/7)]

= -13/7

= x

Hence proved

**☛ Check: **NCERT Solutions Class 8 Maths Chapter 1

**Video Solution:**

## Verify that -(-x) = x for. (i) x = 11/15 (ii) x = -13/7

NCERT Solutions Class 8 Maths Chapter 1 Exercise 1.1 Question 3

**Summary:**

By using the additive property of rational numbers, it is verified for parts (i) x = 11/15 (ii) x = -13/7 that -(-x) = x

**☛ Related Questions:**

- Find the multiplicative inverse of the following (i) -13 (ii) -13/19 (iii) 1/5 (iv) -5/8 × -3/7 (v) -1 × -2/5 (vi) -1.
- Name the property under multiplication used in each of the following: (i) -4/5 × 1 = 1 × -4/5 = -4/5 (ii) -13/17 × -2/7 = -2/7 × -13/17 (iii) -19/29 × 29/-19 = 1
- Multiply 6/13 by the reciprocal of -7/16. The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product an identity
- Tell what property allows you to compute 1/3 × (6 × 4/5) as (1/3 × 6) × 4/3? The Associative property tells us that we can add/multiply the numbers in an equation irrespective of the grouping of those numbers.

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