Glencoe McGraw-Hill Florida Math Connects Plus Course 1 – Chapter 1 Page 83. Author: Lynda Created Date: 8/31/2014 7:01:13 PM.
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NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers
NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Exercise 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:
(i) (frac { 2 }{ 8 })
(ii) (frac { -5 }{ 9 })
(iii) (frac { -6 }{ -5 })
(iv) (frac { 2 }{ -9 })
(v) (frac { 19 }{ -6 })
Solution:
Ex 1.1 Class 8 Maths Question 3.
Verify that -(-x) = x for
(i) x = (frac { 11 }{ 5 })
(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) Commutative property of multiplication
(ii) Commutative property of multiplication
(iii) Multiplicative inverse property
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
Solution:
Since a × (b × c) = (a × b) × c shows the associative property of multiplications.
Chapter 1: Number Sensemr. Mac's Page Number
Ex 1.1 Class 8 Maths Question 8.
Is (frac { 8 }{ 9 }) the multiplicative inverse of -1(frac { 1 }{ 8 })? Why or Why not?
Solution:
Here -1(frac { 1 }{ 8 }) = (frac { -9 }{ 8 }).
Since multiplicative inverse of (frac { 8 }{ 9 }) is (frac { 9 }{ 8 }) but not (frac { -9 }{ 8 })
(frac { 8 }{ 9 }) is not the multiplicative inverse of -1(frac { 1 }{ 8 })
Ex 1.1 Class 8 Maths Question 9.
If 0.3 the multiplicative inverse of 3(frac { 1 }{ 3 })? Why or why not?
Solution:
Multiplicative inverse of 0.3 or (frac { 3 }{ 10 }) is (frac { 10 }{ 3 }).
Thus, 0.3 is the multiplicative inverse of 3(frac { 1 }{ 3 }).
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) 0 is the rational number which does not have its reciprocal
[∵ (frac { 1 }{ 0 }) is not defined]
(ii) Reciprocal of 1 = (frac { 1 }{ 1 }) = 1
Reciprocal of -1 = (frac { 1 }{ -1 }) = -1
Thus, 1 and -1 are the required rational numbers.
(iii) 0 is the rational number which 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 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 and 1
(iii) (frac { -1 }{ 5 })
(iv) x
(v) rational number
(vi) positive
Class 8 Maths NCERT Solutions – All Chapters
Chapter 1: Number Sensemr. Mac's Page Book
More CBSE Class 8 Study Material