Question

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.​

Answer 1

Answer:

(I) True

(ii) False

(iii) False

Answer 2

Answer:

i) True.

Natural numbers consists numbers 1, 2, 3.... and so on.

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

So, all natural numbers are whole numbers but all whole numbers are not natural numbers because whole number contains 0 whereas natural numbers don't.

ii) False

All whole numbers are also integers, starting from 0 and ending at infinity. Whole numbers begin from 0 to positive numbers. So whole numbers can't be negative. So it would be incorrect to assume that each integer is a whole number.

iii) False

Rational numbers is a number which can be expressed as fractions. But whole numbers are numbers without fraction or decimals. Therefore, all rational numbers can't be whole numbers.

Mark it as the brainliest answer.