In this page we have *Rational numbers class 8 worksheet*. We have given True and false questions, Multiple choice questions, Subjective questions based on properties of the rational numbers
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Find the value of a

- $\frac {1}{7} - \frac {5}{16 } = a $
- $\frac {3}{13} - a =\frac { 20}{143}$
- $ a - \frac {1}{11 } = \frac {29}{165}$
- $\frac {1}{3} - \frac {5}{13 } = a $
- $\frac {5}{18} \times \frac {1}{4 } =a$
- $\frac {5}{19} \times a =\frac { 5}{209}$
- $a \times \frac {1}{5 } = \frac {1}{7}$

- $\frac {-19}{112}$
- $\frac {1}{11 }$
- $\frac {4}{15}$
- $\frac {-2}{39}$
- $\frac { 5}{72}$
- $\frac { 1}{11 }$
- $\frac {5}{7}$

Evaluate below expression

- $\frac {1}{19} \times \frac {2}{9 }$
- $\frac {2}{19} - \frac {1}{10 } $
- $\frac {4}{13} \times \frac {1}{11 } $
- $ \frac { 3}{76} \div \frac {3}{8 } $
- $\frac {2}{9} - \frac {5}{11 } = $
- $\frac {4}{13} \times \frac {5}{16 } - \frac {5}{52}$
- $\frac {1}{3} \times \frac {5}{11 } + \frac {5}{33}$
- $\frac {1}{16} \times \frac {2}{19 } \div \frac { 1}{152}$
- $\frac {1}{18} \times \frac {1}{5 } - \frac {1}{90}$
- $\frac {3}{11} \times \frac {1}{9 } $
- $\frac {1}{4} - \frac {1}{3 } - \frac {-1}{12}$
- $\frac {4}{7} - \frac {4}{11 } + \frac {16}{77}$
- $\frac {1}{19} - \frac {1}{15 } - \frac {-4}{285}$

- $\frac {2}{171}$
- $\frac { 1}{190}$
- $\frac {4}{143}$
- $\frac {2}{19}$
- $\frac {-23}{99}$
- 0
- $\frac {10}{33}$
- 1
- 0
- $\frac {1}{33}$
- 0
- $\frac {32}{77}$
- 0

Find the additive inverse of each of the following:

- $\frac {1}{2}$
- $\frac {-2}{7}$
- $ \frac {-1}{11}$
- 12
- $\frac {-3}{10}$

(i) $\frac {1}{2}$

Additive inverse = $\frac {-1}{2}$

(ii) $\frac {-2}{7}$

Additive inverse = $\frac {2}{7}$

(iii) $ \frac {-1}{11}$

Additive inverse = $\frac {1}{11}$

(iv)12

Additive inverse =-12

(v)$\frac {-3}{10}$

Additive inverse=$\frac {3}{10}$

- Every rational number has a reciprocal
- 3/2 lies between 1 and 2
- The negative of 1 is 1 itself.
- For all rational numbers a and b, a – b = b – a.
- -1/2 is smaller than -2

(i) false as 0 does not have reciprocal

(ii) True

(iii) False

(iv) false

(v)false

Find the multiplicative inverse of the following.

- $ \frac {-12}{11}$
- $ \frac {-1}{9}$
- $ \frac {2}{3}$
- $\frac {-1}{2} \times \frac {-2}{5}$
- $\frac {-1}{8} \times \frac {-8}{7}$
- -11

- $ \frac {-12}{11}$

Multiplicative inverse =>$ \frac {-11}{12}$

- $ \frac {-1}{9}$

Multiplicative inverse =$ \frac {-9}{1}=-9$

- $ \frac {2}{3}$

Multiplicative inverse =$ \frac {3}{2}$

- $\frac {-1}{2} \times \frac {-2}{5} =\frac {1}{5}$

Multiplicative inverse =$5$

- $\frac {-1}{8} \times \frac {-8}{7} = \frac {1}{7}$

Multiplicative inverse =7

- -11

Multiplicative inverse =-1/11

if a and b are positive numbers and a > b, then which of the is true?

(a) -a > -b

(b) 1/a > 1/b

(c) 1/b > 1/a

(d) -1/b > -1/a

Which of the following is a rational number between 2/3 and 4/5?

(a) 1/2

(b) 1

(c) 2

(d) 41/60

Multiplicative inverse of a negative rational number is

(a) a positive rational number.

(b) a negative rational number.

(c) 0

(d) 1

which of the following is false?

(a) 9/6 lies between 1 and 2

(b) The multiplicative inverse of 3/4 is 4/3

(c) The reciprocal of 2/5 is 45/10

(d) None of the above

The multiplicative inverse of $-1 \frac {2}{9}$ is

(a) -10/9

(b) -11/9

(c) -9/11

(d) 9/11

The sum of the additive inverse and multiplicative inverse of 2 is

(a) 3/2

(b) -3/2

(d) 1/2

(d) 1

The product of the additive inverse and multiplicative inverse of -1/2 is

(a) 1

(b) 2

(d) -1

(d) 0

6. (c)

7. (d)

8. (b)

9. (d)

10. (d)

11. (b)

12 (d)

Ram have a rope of 50 metres long and he cut the pieces of equal size from equal. If the length of the one of the piece is 5/3, how many pieces did he cut?

Total Number of pieces = Total Length/Lenght of one piece = $\frac {50}{\frac {5}{3}}= 50 \times \frac {3}{5} = 30$

Write the following rational numbers in the descending order.

8/7,-9/8 ,-3/2 ,0 , 1/2, 2/5

LCM of 7,8,2,5=280$

Equilvalent Fractions will be

360/280, -315/280, -420/280,0, 140/280, 118/280

So Descending order will be

360/280,140/280,118/280, 0, -315/280, -420/280

or

8/7,1/2,2/5,0,-9/8,-3/2

A and B receives the same amount of Salary. Here are expenditures by each of them

(i) If the amount left is gone to saving, what fraction of salary are A and B Saving?

(ii) If the Salary is Rs 60000, what is the saving in Rupees

(i) Saving for A = $1 - \frac {1}{3} - \frac {1}{4} - \frac {1}{5} = \frac { 60 - 20 -15 -12}{60}=\frac {13}{60}$

Saving for B = $1 - \frac {1}{3} - \frac {1}{5} - \frac {2}{5} = \frac { 15 - 5 -3 -6}{60}=\frac {1}{15}$

(ii) Saving in Rs for A = $ \frac {13}{60} \times 60000=13000$

Saving in Rs for B = $ \frac {1}{15} \times 60000=4000$

This Rational numbers class 8 worksheet is prepared keeping in mind the latest syllabus of CBSE . This has been designed in a way to improve the academic performance of the students. If you find mistakes , please do provide the feebback on the mail.

**Notes****Ncert Solutions**-
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Class 8 Maths Class 8 Science