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Which property lets us write ?

Class 6Whole NumbersWhole Numbers
  • ACommutative property
  • BAssociative property
  • CDistributive property
  • DClosure property

Step-by-Step Solution

Multiplication distributes over addition: . Here .
Answer: C) Distributive property

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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