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Class 8 - Rational Numbers Worksheet 4

1. The rational numbers 1⁄3 and -3⁄2 are on the opposite side of zero on the number line. Mark True / False.

a) True                     b) False

2. Which property allow to calculate 1⁄6 × [5⁄7 × 7⁄9] as [1⁄6 × 5⁄7] × 7⁄9.

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

3. Simplify -7 + 9⁄10 + 3⁄7 + (-5) + 5⁄11 + (-6⁄5) by necessary arrangement.

a) 323⁄770                     b) -11321⁄770
c) 11232⁄770                 d) None of these

4. Simplify 3⁄5 × [10⁄9 − 40] by using distributive of multiplication of rational numbers over addition.

a) −6                          b) 19⁄45
c) -231⁄3                     d) 9⁄5

5. Arrange the number 1⁄5, 13⁄15, 3⁄20 in descending order.

a) 1⁄5, 13⁄15, 3⁄20
b) 3⁄20, 1⁄5, 13⁄15
c) 13⁄15, 1⁄5, 3⁄20
d) 13⁄15, 3⁄20, 1⁄5

6. The product of two rational numbers is -17⁄21. If one of the numbers be 9⁄7, then find the other number.

a) -27⁄17                   b) 27⁄7
c) -17⁄9                     d) -17⁄27

7. Find the multiplicative inverse of 42⁄5.

a) 22⁄5                     b) -5⁄22
c) 5⁄22                     d) -22⁄5

8. 50 m rope is cut into pieces of equal size. If the length of one piece is 10⁄4 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) -8⁄13                     b) 13⁄8
c) -2⁄13                     d) -3⁄8

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 7⁄11.

a) 11⁄7                   b) -72⁄77
c) -170⁄77              d) -77⁄11

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 A⁄B is additive inverse of C⁄D, then A⁄B − C⁄D = 0. Mark True / False.

a) False                      b) True

15. The rational number 10.123 in the form of a⁄b is _____.

a) 10⁄123                      b) 123⁄100
c) 10123⁄100                 d) 10123⁄1000

16. The rational numbers 1⁄4 and -1⁄4 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 8⁄9 whose denominator is 36 is _____.

a) 36⁄32                   b) 32⁄36
c) 9⁄8                      d) 8⁄36

18. The equivalent of 4⁄7 whose numerator is 20, is ____.

a) 20⁄35 Km                  b) 20⁄23
c) 20⁄40 Km                  d) None of these

19. Write the greater number between 8⁄21 and 2⁄63.

a) 2⁄63                    b) Both same
c) 8⁄21                    d) None of these

20. A window curtain is 301⁄5 cm long has a hem of 24⁄5 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

If you want to download the above worksheet, please click below link.

Rational Numbers Worksheet-4Download the pdf

Rational Numbers Worksheet - 1

Rational Numbers Worksheet - 2

Rational Numbers Worksheet - 3

Rational Numbers Worksheet - 4

Answer Sheet

Rational-Numbers-AnswerDownload the pdf











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