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# Class 8 - Rational Numbers Worksheet 4

1. The rational numbers 13 and -32 are on the opposite side of zero on the number line. Mark True / False.

a) True                     b) False

2. Which property allow to calculate 16 × [57 × 79] as [16 × 57] × 79.

a) Associative                     b) Distributive
c) Commutative                  d) Both a and c

3. Simplify -7 + 910 + 37 + (-5) + 511 + (-65) by necessary arrangement.

a) 323770                     b) -11321770
c) 11232770                 d) None of these

4. Simplify 35 × [109 − 40] by using distributive of multiplication of rational numbers over addition.

a) −6                          b) 1945
c) -2313                     d) 95

5. Arrange the number 15, 1315, 320 in descending order.

a) 15, 1315, 320
b) 320, 15, 1315
c) 1315, 15, 320
d) 1315, 320, 15

6. The product of two rational numbers is -1721. If one of the numbers be 97, then find the other number.

a) -2717                   b) 277
c) -179                     d) -1727

7. Find the multiplicative inverse of 425.

a) 225                     b) -522
c) 522                     d) -225

8. 50 m rope is cut into pieces of equal size. If the length of one piece is 104 m, find the number of such pieces.

a) 11                     b) 20
c) 23                     d) 32

9. By what numbers should we multiply −39, so that the product may be 24?

a) -813                     b) 138
c) -213                     d) -38

10. Write a rational number whose multiplicative inverse −1?

a) 1                     b) −1
c) 0                     d) Does not exist

11. Find the sum of additive inverse and multiplicative inverse of 711.

a) 117                   b) -7277
c) -17077              d) -7711

12. For any rational number A, A + (−1) = −A. Mark True/False

a) False                      b) True

13. For every rational number A, A × 0 = A. Mark True/False.

a) True                      b) False

14. If AB is additive inverse of CD, then ABCD = 0. Mark True / False.

a) False                      b) True

15. The rational number 10.123 in the form of ab is _____.

a) 10123                      b) 123100
c) 10123100                 d) 101231000

16. The rational numbers 14 and -14 are on the _____side of zero on the number line.

a) Same                      b) Both
c) Opposite                 d) None of these

17. The equivalent rational number of 89 whose denominator is 36 is _____.

a) 3632                   b) 3236
c) 98                      d) 836

18. The equivalent of 47 whose numerator is 20, is ____.

a) 2035 Km                  b) 2023
c) 2040 Km                  d) None of these

19. Write the greater number between 821 and 263.

a) 263                    b) Both same
c) 821                    d) None of these

20. A window curtain is 3015 cm long has a hem of 245 cm. How long will the skirt be if the hem is let down?

a) 31 cm                    b) 33.24 cm
c) 42 cm                    d) 33 cm

Rational Numbers Worksheet - 1

Rational Numbers Worksheet - 2

Rational Numbers Worksheet - 3

Rational Numbers Worksheet - 4