ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3

Question 1.
Multiply and express the result in the lowest form:
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q1.1
Solution:
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q1.2
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q1.3

Question 2.
Verify commutative property of multiplication for the following pairs of rational numbers:
(i) \(\frac { 4 }{ 5 }\) and \(\frac { -7 }{ 8 }\)
(ii) 13\(\frac { 1 }{ 3 }\) and 1\(\frac { 1 }{ 8 }\)
(iii) \(\frac { -7 }{ -20 }\) and \(\frac { 5 }{ -14 }\)
Solution:
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q2.1
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q2.2

Question 3.
Verify the following and name the property also:
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q3.1
Solution:
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q3.2
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q3.3
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q3.4

Question 4.
Find the multiplication inverse of the following:
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q4.1
Solution:
Multiplication inverse of:
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q4.2

Question 5.
Using the appropriate properties of operations of rational numbers, evaluate the following:
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q5.1
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q5.2
Solution:
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q5.3
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q5.4
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q5.5

Question 6.
If p = \(\frac { -8 }{ 27 }\), q = \(\frac { 3 }{ 4 }\) and r = \(\frac { -12 }{ 15 }\), then verify that
(i) p × (q × r) = (p × q) × r
(ii) p × (q – r) = p × q – p × r
Solution:
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q6.1
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q6.2
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q6.3

Question 7.
Fill in the following blanks:
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q7.1
(ix) The reciprocal of 0 is …….
(x) The numbers ……… and ……. are their own reciprocals.
(xi) If y be the reciprocal of x, then the reciprocal of y2 in terms of x will be ………
(xii) The product of a non-zero rational number and its reciprocal is ………
(xiii) The reciprocal of a negative rational number is ………..
Solution:
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q7.2
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q7.3
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q7.4
(ix) The reciprocal of 0 is not defined.
(x) The numbers 1 and -1 are their own reciprocals.
(xi) If y be the reciprocal of x, then the reciprocal of y2 in terms of x will be x2.
(xii) The product of a non-zero rational number and its reciprocal is 1.
(xiii) The reciprocal of a negative rational number is a negative rational number.

Question 8.
If \(\frac { 4 }{ 5 }\) the multiplicative inverse of -1\(\frac { 1 }{ 4 }\) ? Why or why not?
Solution:
No, multiplication inverse of \(\frac { 4 }{ 5 }\) is \(\frac { 5 }{ 4 }\) not \(\frac { -5 }{ 4 }\)

Question 9.
Using distributivity, find
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q9.1
Solution:
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q9.2
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q9.3

Question 10.
Find the sum of additive inverse and multiplicative inverse of 9.
Solution:
Additive inverse of 9 = -9
Multiplicative inverse of 9 = \(\frac { 1 }{ 9 }\)
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q10.1

Question 11.
Find the product of additive inverse and multiplicative inverse of \(\frac { -3 }{ 7 }\)
Solution:
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q11.1

ML Aggarwal Class 8 Solutions for ICSE Maths

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