Which property allows swapping the order of addition or multiplication?

Which property allows swapping the order of addition or multiplication?

• A. Associative Property
• B. Distributive Property
• C. Commutative Property
• D. Identity Property

Answer: (C)

Swapping the order of numbers in addition or multiplication doesn't change the result. This is the commutative property. It means that a + b = b + a and a × b = b × a for any numbers a and b, so you can reorder terms to make calculations easier. For example, 8 + 15 is the same as 15 + 8, and 6 × 9 is the same as 9 × 6. Other properties govern different ideas: the associative property is about regrouping (how you group terms), the distributive property shows how multiplication distributes over addition, and the identity property involves adding zero or multiplying by one to get the same number.

Swapping the order of numbers in addition or multiplication doesn't change the result. This is the commutative property. It means that a + b = b + a and a × b = b × a for any numbers a and b, so you can reorder terms to make calculations easier. For example, 8 + 15 is the same as 15 + 8, and 6 × 9 is the same as 9 × 6. Other properties govern different ideas: the associative property is about regrouping (how you group terms), the distributive property shows how multiplication distributes over addition, and the identity property involves adding zero or multiplying by one to get the same number.