Which property does NOT hold for subtraction of whole numbers?

Class 6Whole NumbersWhole Numbers

ACommutative property
BIt produces only whole numbers from whole numbers
CBoth the commutative property and closure
DNone of these

Step-by-Step Solution

Subtraction is not commutative (5 - 3 is not equal to 3 - 5) and not closed (3 - 5 = -2 is not a whole number). So both the commutative property and closure fail for subtraction.

Answer: C) Both the commutative property and closure

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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