Which property states that if equal quantities are added to equal quantities, the sums are equal?

Which property states that if equal quantities are added to equal quantities, the sums are equal?

• A. Addition Property
• B. Subtraction Property
• C. Multiplication Property
• D. Distributive Property

Answer: (A)

Adding the same amount to equal quantities keeps them equal. This is the Addition Property of Equality. If two quantities are equal, adding the same number to each gives equal sums: if a = b, then a + c = b + c for any c. For example, 5 = 5 implies 5 + 3 = 5 + 3, so 8 = 8. The statement in the question reflects this idea: adding equal amounts to equal quantities produces equal sums. The other properties relate to subtracting, multiplying, or distributing operations and don’t capture this exact rule.

Adding the same amount to equal quantities keeps them equal. This is the Addition Property of Equality. If two quantities are equal, adding the same number to each gives equal sums: if a = b, then a + c = b + c for any c. For example, 5 = 5 implies 5 + 3 = 5 + 3, so 8 = 8. The statement in the question reflects this idea: adding equal amounts to equal quantities produces equal sums. The other properties relate to subtracting, multiplying, or distributing operations and don’t capture this exact rule.