Give definitions of following terms

(i) Rational numbers
(ii) Whole numbers
(iii) Odd prime numbers
(iv) The multiplicative inverse of a number

Solution:

Rational numbers: are numbers of the form $\frac{p}{q}$ where p and q are integers and q is non-zero.

For example, $\frac{4}{7}, \frac{8}{3}, 0, \frac{-4}{7}$ are some rational numbers.

Whole numbers: The numbers 0, 1, 2, 3....are known as whole numbers. They do not have fractional or decimal parts. There are infinite whole numbers

W = {0, 1, 2, 3, 4,...}

Prime numbers: are those numbers that are divisible by 1 and only themselves. They have only two factors that include 1 and themselves.

For example, 2, 3, 5, 7, 11, 13....are prime numbers

Even and odd numbers:

Numbers divisible by 2 are called even numbers and those not divisible by 2 are called odd numbers.

Only 2 is an even prime number and the rest are all odd prime numbers. All prime numbers except 2 are odd.

Multiplicative inverse: The multiplicative inverse of a number 'a' is a number such that their product is 1.

$a \times \frac{1}{a} = 1$. So '1/a' is the multiplicative inverse of 'a' and vice versa. The reciprocal of a number is its multiplicative inverse.

For example, the multiplicative inverse of 6 is $\frac{1}{6}$ as  $6 \times \frac{1}{6} = 1$

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Updated on: 10-Oct-2022

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