- ATrue
- BFalse
- CTrue only when dividing by 1
- DTrue only for even numbers
Step-by-Step Solution
Division is not closed on whole numbers. For example, 7 ÷ 2 = 3.5, which is not a whole number. So the statement is false.
Answer: B) False
Division of whole numbers is closed on whole numbers. (True or false?)
Class 6Whole NumbersWhole Numbers
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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