Question 7
Zero (0) is:
(a) the identity for addition of rational numbers.
(b) the identity for subtraction of rational numbers.
(c) the identity for multiplication of rational numbers.
(d) the identity for division of rational numbers.

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Solution

Zero (0) is the identity for addition of rational numbers i.e option (a)
That means if a is a rational number.
Then, a + 0 = 0 + a = a.

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Question 7
Zero (0) is:
(a) the identity for addition of rational numbers.
(b) the identity for subtraction of rational numbers.
(c) the identity for multiplication of rational numbers.
(d) the identity for division of rational numbers.

Why is zero called the identity for the addition of rational numbers

The rational number $0$ is the additive identity for rational numbers.

The additive identity for rational numbers is 0.

Question 11
If x + 0 = 0 + x = x, which is rational number, then 0 is called:
(a) identity for addition of rational numbers.
(b) additive inverse of x.
(c) multiplicative inverse of x.
(d) reciprocal of x.

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Rational Numbers

Standard VIII Mathematics

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Question 7 Zero (0) is: (a) the identity for addition of rational numbers. (b) the identity for subtraction of rational numbers. (c) the identity for multiplication of rational numbers. (d) the identity for division of rational numbers.

Zero (0) is the identity for addition of rational numbers i.e option (a) That means if a is a rational number. Then, a + 0 = 0 + a = a.

Question 7
Zero (0) is:
(a) the identity for addition of rational numbers.
(b) the identity for subtraction of rational numbers.
(c) the identity for multiplication of rational numbers.
(d) the identity for division of rational numbers.

Zero (0) is the identity for addition of rational numbers i.e option (a)
That means if a is a rational number.
Then, a + 0 = 0 + a = a.