# State whether the following statements are true or false. Give reasons for your answers.(i) Every natural number is a whole number.(ii) Every integer is a whole number.(iii) Every rational number is a whole number.

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To find:

We need to check whether the given statements are true or false.

Solution:

We know that,

Whole Numbers:

Whole numbers are 0, 1, 2, 3,......, and so on.

Natural Numbers:

Natural numbers are 1, 2, 3, 4, 5.....and so on.

Therefore, every natural number is a whole number.

Integers:

Integers are like whole numbers, but they also include negative numbers.

• It includes negative numbers $(-1, -2, -3, -4, ………)$

• It includes positive numbers $(1, 2, 3, 4, 5, ………)$

• It includes Zero

• Decimal numbers and fractions are not included in integers.

Rational Numbers:

A number that can be expressed in the form $\frac{p}{q}$ where $p$ and $q$ are integers and $q$ is not equal to zero is a rational number.

Rational numbers like $\frac{5}{2}$, $\frac{-10}{3}$ are not whole numbers.

Therefore,

(a) The given statement is true.

(b) The given statement is false.

(c) The given statement is false.

Updated on 10-Oct-2022 13:38:02