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A whole number is multiplied by 1 and then 0 is added to the result. If the final answer is 256, what was the original whole number?

Class 6Whole NumbersWhole Numbers
  • A281
  • B231
  • C512
  • D256

Step-by-Step Solution

Multiplying by 1 leaves the number unchanged (identity), and adding 0 also leaves it unchanged. So the original number equals the final answer, 256.
Answer: D) 256

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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