Which property states that the order of addition or multiplication does not affect the sum?

Which property states that the order of addition or multiplication does not affect the sum?

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

Answer: (B)

The property that states that the order of addition or multiplication does not affect the sum is indeed the Commutative Property. This means that when you are adding or multiplying numbers, you can change the order in which you combine them and still get the same result. For example, for addition, if you have two numbers, say 3 and 5, you can add them as 3 + 5, which equals 8, or you can switch the order to 5 + 3, and you will still get 8. Similarly, for multiplication, 4 × 6 equals 24, and if you switch them to 6 × 4, you still get 24. This property is fundamental in arithmetic and algebra because it allows flexibility in calculations and helps in simplifying expressions. The other properties listed, such as the Associative Property, deal with how the grouping of numbers affects the sum or product, while the Distributive Property involves distributing multiplication over addition or subtraction. The Identity Property pertains to the concept that adding zero or multiplying by one will not change the value of a number.

The property that states that the order of addition or multiplication does not affect the sum is indeed the Commutative Property. This means that when you are adding or multiplying numbers, you can change the order in which you combine them and still get the same result.

For example, for addition, if you have two numbers, say 3 and 5, you can add them as 3 + 5, which equals 8, or you can switch the order to 5 + 3, and you will still get 8. Similarly, for multiplication, 4 × 6 equals 24, and if you switch them to 6 × 4, you still get 24.

This property is fundamental in arithmetic and algebra because it allows flexibility in calculations and helps in simplifying expressions. The other properties listed, such as the Associative Property, deal with how the grouping of numbers affects the sum or product, while the Distributive Property involves distributing multiplication over addition or subtraction. The Identity Property pertains to the concept that adding zero or multiplying by one will not change the value of a number.