Question

Class 8

Chapter :1 “Rational Numbers”



1. Fill in the blanks:

(i) ____ is the identity element for the addition of rational numbers.

(ii) The rational number _________ has no reciprocal.

(iii) The reciprocal of the reciprocal of a number is _________.

(iv) The rational number _________ is neither positive nor negative.

(v) _________ is the only rational number which is equal its additive inverse.

(vi) __________ is the multiplicative identity for rational numbers.



2. What is the additive inverse of 3/5?

3 Give a rational number which when added to a number gives the same number.

4. By what rational number should 22/7 be divided, to get the number - 11/24?

5. Represent the following rational numbers on the number line. (i) -3/10 (ii) 8/7 (iii) -5/9 (iv)21/7

6. Find two rational numbers between (i) -3 and 3. (ii) 0 and 1.

7. Insert six rational numbers between (i) -1/4 and -2/5 (ii) 21/12 and 12/21.

8. Find five rational no.s between 1/8 and 2/9..

9. Multiply the negative of 2/3 by the inverse of 9/7.

10. What should be added to -16/3 to make it 1/9?

11. What should be subtracted from 5/8 to make it -1?

12. Multiply the negative of 29/2 by its reciprocal.



14. Write a rational number equivalent to 18/29 having 87 as denominator.

15. Write 2/3, -4/9, -8/11 in ascending order.

16. Write 2/3, -4/9, -8/11 in descending order.

17. Verify that –(-x) = x for:-

(a) 7/9 (b) -5/11

18. Using properties find the value of:-

(i) (3/7 × 5/6) + (3/7 × 12/13)



(ii) (-8/3 × 5/6) + (-13/12 × 5/6)

19. Name the property of multiplication illustrated by the following statements:



(i) -11/13 × -17/5 = -17/5 × -11/13



(ii) {(-2)/3 × 7/9} × (-9)/5 = (-2)/3 × {7/9 × (-9)/5}



(iii) (-3)/4 × {(-5)/6 + 7/8 = {(-3)/4 × (-5)/6} + {(-3)/4 × 7/8}



(iv) (-16)/9 × 1 = 1 × (-16)/9 = (-16)/9



(v) (-11)/15 × 15/-11 = 15/-11 × (-11)/15 = 1



(vi) -7/5 × 0 = 0

20. Find the sum of additive inverse and multiplicative inverse of 7. ​

Answer 1

Answer:

hope you help

Step-by-step explanation:

this is answer

Answer 2

Answer:

I. zero

ii) zero

iii) number itself

iv) 0

v)0

vi) 1

2) 5/3

3) 0

4) -48/7

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