NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1
NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1
are the part of NCERT Solutions for Class 8 Maths. Here you can find the 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:
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 = 11/15
(ii) x = −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) Multiplicative
identity of a rational number.
(ii) Commutative
property of multiplication.
(iii) Multiplicative
inverse of a rational number.
Ex 1.1 Class 8 Maths Question 6.
Multiply 6/13 by the reciprocal of −7/16.Solution:
Ex 1.1 Class 8 Maths Question 7.
Tell what property allows you to compute.1/3 × (6 × 4/3) as (1/3 × 6) × 4/3
Solution:
Associative property of multiplication of rational numbers allows us to
compute:
1/3 × (6 × 4/3) as (1/3 × 6) × 4/3
Ex 1.1 Class 8 Maths Question 8.
Is 9/8 the multiplicative inverse of – 11/8? Why or why not?Solution:
No, 9/8 is not the
multiplicative inverse of – 11/8.
Because 8/9 × – 11/8 = 8/9 × −9/8 = −1 ≠ 1.
Ex 1.1 Class 8 Maths Question 9.
Is 0.3 the multiplicative inverse of 31/3? Why or why not?Solution:
Yes, 0.3 is multiplicative inverse of 31/3.
Because 0.3 × 31/3 = 3/10 × 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) Since
there is no rational number which when multiplied by 0, gives 1. Therefore, the
rational number 0 has no reciprocal.
(ii) Since
the reciprocal of 1 is 1 and the reciprocal of -1 is -1. Therefore, 1 and -1
are the only rational numbers which are equal to their reciprocals.
(iii) The
rational number that is equal to its negative is 0.
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 1/x, where x ≠ 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) −1/5
(iv) x
(v) rational
number
(vi) positive
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