Students can Download Maths Chapter 7 Rational Numbers Ex 7.3 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 8 Maths helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.

## Karnataka Board Class 8 Maths Chapter 7 Rational Numbers Ex 7.3

1. Name the property indicated in the following:

Question (i)

315+115 = 430

Answer:

Closure property of addition

Question (ii)

\(\frac{3}{4} \times \frac{9}{5}=\frac{27}{20}\)

Answer:

Closure property of multiplication.

Question (iii)

5 + 0 = 0 + 5 = 5

Answer:

0 is the additive identity.

Question (iv)

\(\frac{8}{9} \times 1=\frac{8}{9}\)

Answer:

1 is the multiplicative identity

Question (v)

\(\frac{8}{17}+\frac{-8}{17}=0\)

Answer:

\(\frac { -8 }{ 17 }\)

Question (vi)

\(\frac{22}{23} \times \frac{23}{22}=1\)

Answer:

\(\frac { 23 }{ 22 }\) is the multiplicative identity

2. Check the commutative property of addition for the following pairs.

Question (i)

\(\frac{102}{201}, \frac{3}{4}\)

Answer:

Question (ii)

\(\frac{-8}{13}, \frac{23}{27}\)

Answer:

Question (iii)

\(\frac{-7}{9}, \frac{-18}{19}\)

Answer:

a + b = b + a

3. Check the commutative property of multiplication for the following pairs

Question (i)

\(\frac{22}{45}, \frac{3}{4}\)

Answer:

Question (ii)

\(\frac{-7}{13}, \frac{25}{27}\)

Answer:

Question (iii)

\(\frac{-8}{9}, \frac{-17}{19}\)

Answer:

4. Check the distributive property for the following triples of rational numbers.

Question (i)

\(\frac{1}{8}, \frac{1}{9}, \frac{1}{10}\)

Answer:

Question (ii)

\(\frac{-4}{9}, \frac{6}{5}, \frac{11}{10}\)

Answer:

Question (iii)

\(\frac{3}{8}, 0, \frac{13}{7}\)

Answer:

5. Find the additive inverse of each of the following numbers.

Question (1)

\(\frac { 8 }{ 5 }\)

Answer:

\(\frac { -8 }{ 5 }\)

Question (2)

\(\frac { 6 }{ 10 }\)

Answer:

\(\frac { -6 }{ 10 }\)

Question (3)

\(\frac { -3 }{ 8 }\)

Answer:

\(\frac { 3 }{ 8 }\)

Question (4)

\(\frac { -16 }{ 3 }\)

Answer:

\(\frac { 16 }{ 3 }\)

Question (5)

\(\frac { -4 }{ 1 }\)

Answer:

\(\frac { 4 }{ 1 }\)

6. Find the multiplicative inverse of each of the following numbers.

Question (1)

2

Answer:

\(\frac { 1 }{ 2 }\)

Question (2)

\(\frac { 6 }{ 11 }\)

Answer:

\(\frac { 11 }{ 6 }\)

Question (3)

\(\frac { -8 }{ 15 }\)

Answer:

\(\frac { -15 }{ 8 }\)

Question (4)

\(\frac { 19 }{ 18 }\)

Answer:

\(\frac { 18 }{ 19 }\)

Question (5)

\(\frac { 1 }{ 1000 }\)

Answer:

\(\frac { 1000 }{ 1 }\)