NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 are part of NCERT Solutions for Class 8 Maths. Here we have given NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1.
| Board | CBSE |
| Textbook | NCERT |
| Class | Class 8 |
| Subject | Maths |
| Chapter | Chapter 1 |
| Chapter Name | Rational Numbers |
| Exercise | Ex 1.1 |
| Number of Questions Solved | 11 |
| Category | NCERT Solutions |
NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1
Ex 1.1 Class 8 Maths Question 1.
Using appropriate properties find. 5
Solution:
Ex 1.1 Class 8 Maths Question 2.
Write the additive inverse of each of the following:
Solution:
Ex 1.1 Class 8 Maths Question 3.
Verify that – (-x) = x for:
(i) \(x=\frac { 11 }{ 15 } \)
(ii) \(x=-\frac { 13 }{ 17 } \).
Solution:
Ex 1.1 Class 8 Maths Question 4.
Find the multiplicative inverse of the following:
Solution:
Ex 1.1 Class 8 Maths Question 5.
Name the property under multiplication used in each of the following:
Solution:
(i) Existence of multiplicative identity.
(ii) Commutative property of multiplication.
(iii) Existence of multiplicative inverse.
Ex 1.1 Class 8 Maths Question 6.
Multiply \(\frac { 6 }{ 13 } \) by the reciprocal of \(\frac { -7 }{ 16 } \).
Solution:
Ex 1.1 Class 8 Maths Question 7.
Tell what property allows you to compute.
\(\frac { 1 }{ 3 } \times \left( 6\times \frac { 4 }{ 3 } \right) as\left( \frac { 1 }{ 3 } \times 6 \right) \times \frac { 4 }{ 3 } \)
Solution:
Associative property of multiplication over rational numbers allows us to compute :
\(\frac { 1 }{ 3 } \times \left( 6\times \frac { 4 }{ 3 } \right) as\left( \frac { 1 }{ 3 } \times 6 \right) \times \frac { 4 }{ 3 } \)
Ex 1.1 Class 8 Maths Question 8.
Is \(\frac { 9 }{ 8 } \) the multiplicative inverse of – 1 \(\frac { 1 }{ 8 } \)? Why or why not?
Solution:
No, \(\frac { 9 }{ 8 } \) is not the multiplicative inverse of -1 \(\frac { 1 }{ 8 } \).
Because \(\frac { 8 }{ 9 } \times -1\frac { 1 }{ 8 } =\frac { 8 }{ 9 } \times \frac { -9 }{ 8 } =-1\neq 1\).
Ex 1.1 Class 8 Maths Question 9.
Is 0.3 the multiplicative inverse of 3\(\frac { 1 }{ 3 } \)? Why or why not?
Solution:
Yes, 0.3 is multiplicative inverse of 3\(\frac { 1 }{ 3 } \).
Because \(0.3\times 3\frac { 1 }{ 3 } =\frac { 3 }{ 10 } \times \frac { 10 }{ 3 } =1\).
Ex 1.1 Class 8 Maths Question 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.
Solution:
(i) We know that there is no rational number which when multiplied with 0, gives 1. Therefore, the rational number 0 has no reciprocal.
(ii) We know that the reciprocal of 1 is 1 and the reciprocal of -1 is -1. 1 and -1 are the only rational numbers which are their own reciprocals.
(iii) The rational number 0 is equal to its negative.
Ex 1.1 Class 8 Maths Question 11.
Fill in the blanks :
(i) Zero has ……………. reciprocal.
(ii) The numbers ……………. and ………. are their own reciprocals.
(iii) The reciprocal of – 5 is …………….
(iv) Reciprocal of \(\frac { 1 }{ x } \), where ≠0 is ………
(v) The product of two rational numbers is always a ………….
(vi) The reciprocal of a positive rational number is ………..
Solution:
(i) No,
(ii) 1, -1,
(iii) \(\frac { -1 }{ 5 } \)
(iv) x,
(v) rational number,
(vi) positive.
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