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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Question 6
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 Question 7
Which of the following is a rational number between 2/3 and 4/5?
(a) 1/2
(b) 1
(c) 2
(d) 41/60 Question 8
Multiplicative inverse of a negative rational number is
(a) a positive rational number.
(b) a negative rational number.
(c) 0
(d) 1 Question 9
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 Question 10
The multiplicative inverse of $-1 \frac {2}{9}$ is
(a) -10/9
(b) -11/9
(c) -9/11
(d) 9/11 Question 11
The sum of the additive inverse and multiplicative inverse of 2 is
(a) 3/2
(b) -3/2
(d) 1/2
(d) 1 Question 12
The product of the additive inverse and multiplicative inverse of -1/2 is
(a) 1
(b) 2
(d) -1
(d) 0 Solution
Question 13
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? Solution
Total Number of pieces = Total Length/Lenght of one piece = $\frac {50}{\frac {5}{3}}= 50 \times \frac {3}{5} = 30$
Question 14
Write the following rational numbers in the descending order.
8/7,-9/8 ,-3/2 ,0 , 1/2, 2/5 Solution
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
Question 15
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 Solution
(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$
Summary
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.
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