Rational Numbers Exercise 1.1
NCERT solutions for Class 8 Maths Rational Numbers
NCERT Solutions for Class 8 Maths Rational Numbers
Class –VIII Mathematics (Ex. 1.1)
Questions
1. Using appropriate properties find:
(i) 
Ans. (i)
= 
= 
= 
= 
= 
= 
= 
= 2
(ii) 
Ans. (ii)
= 
= 
= 
= 
= 
= 
= 
2. Write the additive inverse of each of the following:
(i) 
(ii)
(iii)
(iv)
(v)
Ans 2. We know that additive inverse of a rational number 
is 
such that 
(i) Additive inverse of is 
(ii) Additive inverse of is 
(iii) Additive inverse of is 
(iv) Additive inverse of is 
(v) Additive inverse of is 
NCERT Solutions for Class 8 Maths Exercise 1.1
3. Verify that 
for:
(i)
(ii)
Ans 3.(i) Putting in 
L.H.S. = R.H.S.
Hence, verified.
(ii)Putting 
in
L.H.S. = R.H.S.
Hence, verified.
NCERT Solutions for Class 8 Maths Exercise 1.1
4. Find the multiplicative inverse of the following:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
Ans 4. We know that multiplicative inverse of a rational number 
is 
such that 
(i) Multiplicative inverse of is 
(ii) Multiplicative inverse of is 
(iii) Multiplicative inverse of is 
(iv) Multiplicative inverse of 
is 
(v) Multiplicative inverse of 
is 
(vi) Multiplicative inverse of is 
NCERT Solutions for Class 8 Maths Exercise 1.1
5. Name the property under multiplication used in each of the following:
(i)
(ii)
(iii)
Ans 5.(i) 1 is the multiplicative identity.
(ii) Commutative property.
(iii) Multiplicative Inverse property.
NCERT Solutions for Class 8 Maths Exercise 1.1
6. Multiply 
by the reciprocal of 
Ans 6.The reciprocal of 
is 
According to the question,
= 
NCERT Solutions for Class 8 Maths Exercise 1.1
7. Tell what property allows you to compute
as 
Ans 7. By using associative property of multiplication, we will compute as 
.
NCERT Solutions for Class 8 Maths Exercise 1.1
8. Is 
the multiplicative inverse of 
Why or why not?
Ans 8. Since multiplicative inverse of a rational number is if
Therefore,
= 
=
But its product must be positive 1.
Therefore, is not the multiplicative inverse of 
NCERT Solutions for Class 8 Maths Exercise 1.1
9. Is 0.3 the multiplicative inverse of 
Why or why not?
Ans. 9. Since multiplicative inverse of a rational number is if
Therefore,
= 
= 1
Therefore, Yes 0.3 is the multiplicative inverse of 
10.Write:
(i) The rational number that does not have a reciprocal.
(ii) The rational numbers that are equal to their reciprocals.
(iii) The rational number that is equal to its negative.
Ans. 10.(i) 0
(ii) 1 and
(iii) 0
11. Fill in the blanks:
(i) Zero has ____________ reciprocal.
(ii) The numbers ___________ and __________ are their own reciprocals.
(iii) The reciprocal of 
is _____________.
(iv) Reciprocal of 
where 
is _____________.
(v) The product of two rational numbers is always a ____________.
(vi) The reciprocal of a positive rational number is _______________
Ans 11.(i) No
(ii) 1,
(iii) 
(iv) 
(v) Rational Number
(vi) Positive