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Question

From the following operations, which operations between whole numbers follow the closure property?
Addition, Subtraction, Multiplication, Division

A
Addition and Subtraction only
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B
Multiplication and Division only
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C
Addition and Multiplication only
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D
All four operations
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Solution

The correct option is C Addition and Multiplication only

The Closure Property for whole numbers means that the answer of an operation between two whole numbers is a whole number.

Addition: 2 + 3 = 5

Adding two whole numbers will always give another whole number, hence addition for whole numbers follows the closure property

Subtraction: 2 - 3 = ? (not a whole number)

Hence, subtraction for whole numbers does not follow closure property.

Multiplication: 2 × 3 = 6

Multiplying two whole numbers will always give another whole number, hence multiplication for whole numbers follows the closure property.

Division: 3 ÷ 2 = 1.5 (not a whole number)

Hence, Division for whole numbers does not follow closure property.


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