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Question

Are all natural numbers also whole numbers?

Solution
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$${\textbf{Step - 1: Defining whole numbers and natural numbers}}$$

$${\text{Whole numbers are all non - negative numbers i}}{\text{.e}}{\text{., all the numbers starting from 0}}{\text{.}}$$

$$\therefore {\text{ Whole numbers = \{ 0, 1, 2, 3, }}....{\text{\} }}$$

$${\text{Natural numbers are all positive numbers i}}{\text{.e}}{\text{., all the numbers starting from 1,}}$$

$$\therefore {\text{ Natural numbers = \{ 1, 2, 3, 4, }}.......{\text{\} }}$$

$${\textbf{Step - 2: Analysing}}$$

$${\text{From above, we can see that set of whole numbers is nothing but set }}$$

$$\text{of natural numbers with a 0,}$$

$$ \Rightarrow {\text{ Natural numbers is a subset of whole numbers}}$$

$$ \Rightarrow {\text{ All natural numbers are whole numbers}}$$

$${\textbf{ Yes, all natural numbers are whole numbers}}{\text{.}}$$

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