-3/8 + 1/7 = 1/7 + (-3/8) is an example to show that
(a) addition of rational numbers is commutative
(b) rational numbers are closed under addition
(c) addition of rational numbers is associative
(d) rational numbers are distributive under addition

Solution:

Given equation -3/8 + 1/7 = 1/7 + (-3/8)

Commutative property of addition states that any two numbers can be added in either way

A + B = B + A

Hence, the addition of rational numbers is commutative.

✦ Try This: 1/3 + 4/7 = 4/7 + 1/3 is an example to show that (a) addition of rational numbers is commutative, (b) rational numbers are closed under addition, (c) addition of rational numbers is associative, (d) rational numbers are distributive under addition

Given 1/3 + 4/7 = 4/7 + 1/3

Commutative property of addition states that any two numbers can be added in either way

A + B = B + A

Hence, the addition of rational numbers is commutative.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 1

NCERT Exemplar Class 8 Maths Chapter 1 Problem 5

-3/8 + 1/7 = 1/7 + (-3/8) is an example to show that (a) addition of rational numbers is commutative, (b) rational numbers are closed under addition, (c) addition of rational numbers is associative, (d) rational numbers are distributive under addition

Summary:

-3/8 + 1/7 = 1/7 + (-3/8) is an example to show that it is addition of rational numbers is commutative

☛ Related Questions:

• Which of the following expressions shows that rational numbers are associative under multiplication . . . .
• Zero (0) is (a) the identity for addition of rational numbers, (b) the identity for subtraction of r . . . .
• One (1) is (a) the identity for addition of rational numbers, (b) the identity for subtraction of ra . . . .