- A0 + 47 = 47
- B
- C47 - 0 = 0
- D47 + 1 = 47
Step-by-Step Solution
Zero is the additive identity: adding 0 to any whole number leaves it unchanged, so , and 47 - 0 = 47, not 0.)
Answer: A) 0 + 47 = 47
Which equation correctly applies the additive identity property of zero?
Class 6Whole NumbersWhole Numbers
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.
**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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