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Which statement about dividing by zero is correct?

Class 6Whole NumbersWhole Numbers
  • AAny number divided by 0 equals 0
  • BAny number divided by 0 equals that number
  • CDivision by 0 is not defined
  • DAny number divided by 0 equals 1

Step-by-Step Solution

Division by zero is not defined — there is no whole number that, multiplied by 0, gives a non-zero result. So a ÷ 0 has no meaning.
Answer: C) Division by 0 is not defined

Key idea: Properties of whole-number addition and multiplication

**Commutative**: a + b = b + a, and a × b = b × a. Order does not matter for addition or multiplication.

**Associative**: (a + b) + c = a + (b + c), and (a × b) × c = a × (b × c). Grouping does not matter.

**Distributive**: a × (b + c) = a × b + a × c. Multiplication 'distributes over' addition. This is one of the most useful rules in all of maths.

**Identity**: a + 0 = a (zero is the additive identity), and a × 1 = a (one is the multiplicative identity).

**Multiplying by zero**: a × 0 = 0 for every whole number a.

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