Question

[A number can be written in more than one collection
Natural numbers
Whole numbers
(i) Integers
(iv) Rational numbers
0.125. Write these numbers under the appropriate category
Would you leave out any of the given numbers from rational numbers?
Is every natural number, whole number and integer a rational number?​

Answer 1

Answer. Natural numbers are all numbers 1, 2, 3, 4… They are the numbers you usually count and they will continue on into infinity.

Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4…

Integers include all whole numbers and their negative counterpart e.g. …-4, -3, -2, -1, 0,1, 2, 3, 4,…

All integers belong to the rational numbers. A rational number is a number

$$\frac{a}{b},\: b\neq 0$$

Where a and b are both integers.