KSEEB Solutions for Class 8 Maths Chapter 7 Rational Numbers Ex 7.3

Students can Download Class 8 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 to clear all their doubts, score well in final exams.

Karnataka State Syllabus 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.
\(\frac{8}{17}+\frac{-8}{17}=\)
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.
\(\frac{102}{201}, \frac{3}{4}\)
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.
\(\frac{6}{11}\)[/latex]
Answer:
\(\frac{11}{6}\)[/latex]

Question 3.
\(\frac{-8}{15}\)[/latex]
Answer:
\(\frac{-15}{8}\)[/latex]

Question 4.
\(\frac{19}{18}\)
Answer:
\(\frac{18}{19}\)

Question 5.
\(\frac{1}{1000}\)
Answer:
\(\frac{1000}{1}\)