Question

……is the additive identity for the addition of rational numbers.​

Answer 1

Answer:

(i) commutative, (ii) associative • The rational number 0 is the additive identity for rational numbers. The rational number 1 is the multiplicative identity for rational numbers.

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Answer 2

Answer:

• A number that can be expressed in the form p

q , where p and q are

integers and q ¹ 0, is called a rational number.

• Lowest form of a rational number – A rational number p

q

is said

to be in the lowest form or simplest form if p and q have no common

factor other than 1 and q ¹ 0.

Addition, subtraction, multiplication and division of rational

numbers are done in the same way as we do for fractions.

• Rational numbers are closed under the operations of addition,

subtraction and multiplication.

• The operations of addition and multiplication for rational numbers

are

(i) commutative, (ii) associative

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

• The rational number 1 is the multiplicative identity for rational

numbers.