Important questions for rational Numbers Class 8

In this page we have rational numbers class 8 important questions . Hope you like them and do not forget to like , social share and comment at the end of the page.
Question 1
Write the additive inverse of each of the following:
1. 1
2. $\frac {-1}{9}$
3. $\frac {-2}{3}$
4. 2
5. $\frac {-9}{1}$
(i) 1
(ii) $\frac {-1}{9}$
Additive inverse = $\frac {1}{9}$
(iii) $\frac {-2}{3}$
Additive inverse = $\frac {2}{3}$
(iv)  2
(v) -9/1=-9
Question 2
1. 1
2. -1
3. 0
4. None of the above
Question 3
True or False Statement
1. The difference of two rational number is a rational number
2. Addition of rational numbers is associative
3. Addition of rational numbers is commutative
4. Subtraction of rational numbers is not commutative
5. The addition or subtraction of two rational number is a rational number
All the statement are true
Question 4
Find the multiplicative inverse of the following.
1. $\frac {-11}{12}$
2. $\frac {-10}{9}$
3. $\frac {1}{2}$
4. $\frac {-5}{2} \times \frac {-2}{5}$
5. $\frac {-1}{2} \times \frac {-2}{5}$
6. - 4

1. $\frac {-11}{12}$
Multiplicative inverse =>$\frac {-12}{11}$
2. $\frac {-10}{9}$
Multiplicative inverse =$\frac {-9}{10}$
3. $\frac {1}{2}$
Multiplicative inverse =2
4. $\frac {-5}{2} \times \frac {-2}{5} =1$
Multiplicative inverse =1
5. $\frac {-1}{2} \times \frac {-2}{5} = \frac {1}{5}$
Multiplicative inverse =5
6. -4
Multiplicative inverse =-1/4

Question 5
Which of these properties hold false for Multiplication of rational numbers?
1.  Associative law
2. Closure law
3. Commutative law
4. Existence of Multiplicative identity
5. None of the these
None of these
Question 6
Find the below multiplication
1. $\frac {-1}{2} \times \frac {9}{10}$
2. $\frac {-25}{9} \times \frac {1}{3}$
3. $\frac {7}{24} \times 10$
1. $\frac {-1}{2} \times \frac {9}{10}$
$=\frac { -1 \times 9}{2 \times 10} = \frac {-9}{20}$
2. $\frac {-25}{9} \times \frac {1}{3}$
$= \frac {-25 \times 1}{9 \times 3}= \frac {-25}{27}$
3. $\frac {7}{24} \times 10$
$= \frac {7 \times 10}{24}= \frac {70}{24}$
Question 7
Find the following
1.  (1/2)-1
2. (3)-1
3. (-6)-1
4. (1/-2)-1
1. Multiplicative inverse of (1/2)   =2
2. Multiplicative inverse of (3)   =1/3
3. Multiplicative inverse of (-6)   =-1/6
4. Multiplicative inverse of (1/-2)   =-2
Question 8
The product of two rational number is 2   , if one of the rational number is 1/7  ,what is the value of other?
Let a   be the other number, then
$a \times \frac {1}{7} =2$
Or
$a= 2 \div \frac {1}{7}$
$a=2 \times 7=14$
Question 11
Fill in the blanks
(i)  ____   ÷  (-3)=  (-4/15)
(ii) The numbers __________ and __________ are their own reciprocals
(iii) The reciprocal of   1   is __________.
(iv)   (1/2)   ÷  (2/3)  =__________.
(v) The product of two rational numbers is always a __________.
(vi)  The reciprocal of a negative rational number is __________.

1. 4/5
2. 1 and -1
3.  1
4. 3
5. Rational Number
6. Negative rational number
Question 12
Write five rational numbers which are smaller than 5

$1= \frac {10}{10}$
$2= \frac {20}{10}$