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Assertion (A): Every natural number is a whole number. Reason (R): Whole numbers are the natural numbers together with 0. Which option is correct?

Class 6Whole NumbersWhole Numbers
  • ABoth A and R are true, and R is the correct explanation of A
  • BBoth A and R are true, but R is not the correct explanation of A
  • CA is true, but R is false
  • DA is false, but R is true

Step-by-Step Solution

Whole numbers = {0, 1, 2, 3, …}, which includes all natural numbers. So every natural number is indeed a whole number (A true), and the reason — whole numbers are natural numbers plus 0 — correctly explains why (R true and explains A).
Answer: A) Both A and R are true, and R is the correct explanation of A

Key idea: Closure: when an operation 'stays inside' the whole numbers

Adding two whole numbers always gives a whole number — addition is **closed** on whole numbers. Multiplying two whole numbers always gives a whole number — multiplication is **closed** too. But subtraction is **not** closed: 5 − 7 = −2, which is not a whole number. Division is also not closed: 7 ÷ 2 = 3.5, not a whole number. Closure is the property that lets us trust an operation never to take us 'outside' the world of whole numbers.

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