Question

Fill in the blanks.
The ------ consists of natural numbers, zero and negative of natural numbers. Zero is called the ------ . ----- is called the multiplicative identity.

• A. Integers, additive identity, 1
• B. Integers, additive inverse, 1
• C. Whole numbers, additive identity, 0
• D. Rational numbers, additive inverse, 1

Answer 1

The correct option is A Integers, additive identity, 1

Additive identity is a number which when added to a number gives the number back.

For eg, let additive identity of $7$ be $x$, then,

$7+x=7$ i.e. $x=0$

Zero is thus called the additive identity.

Multiplicative identity is a number which when multiplied to a number gives the number back.

For eg, let multiplicative identity of $4$ be $y$

$4\times y=4$ i.e. $y=1$

$1$ is thus called the multiplicative identity.

Set of positive and negative natural numbers including zero is a set of Integers.