Please Help!
Which of the following can be used to rewrite the expression (3)(2+c)? Select the two correct answers.
A) Commutative Property of Multiplication
B) Associative Property of Addition
C) Associative Property of Multiplication
D) Commutative Property of Addition
I think the answers are B & C.
what happened to Distributive Property?
a(b+c) = ab + ac
I guess you could use A to write it as (2+c)(3)
or D to write (3)(c+2)
Actually, the correct answers are A) Commutative Property of Multiplication and C) Associative Property of Multiplication. The Commutative Property of Multiplication allows us to change the order of the numbers being multiplied, while the Associative Property of Multiplication allows us to change the grouping of the numbers being multiplied.
To determine which properties can be used to rewrite the expression (3)(2+c), we need to understand what each property represents.
The Commutative Property of Multiplication states that the order in which numbers are multiplied does not affect the result. In other words, you can rearrange the order of multiplication without changing the outcome. This property can be written as a × b = b × a.
The Associative Property of Multiplication states that the grouping of numbers being multiplied together does not affect the result. In other words, you can change the placement of parentheses without changing the outcome. This property can be written as (a × b) × c = a × (b × c).
The Associative Property of Addition states that the grouping of numbers being added together does not affect the result. In other words, you can change the placement of parentheses without changing the outcome. This property can be written as (a + b) + c = a + (b + c).
The Commutative Property of Addition states that the order in which numbers are added does not affect the result. In other words, you can rearrange the order of addition without changing the outcome. This property can be written as a + b = b + a.
Now let's think about how we can rewrite the expression (3)(2+c) using these properties. We want to rearrange or regroup the numbers to simplify the expression.
Using the Commutative Property of Multiplication, we can rewrite the expression as (2+c)(3). However, this is not one of the answer choices.
Using the Associative Property of Addition, we can rewrite the expression as (3)(2+c). This matches the original expression, but it is not a different way of writing it.
Using the Associative Property of Multiplication, we can rewrite the expression as (2)(3+c). This is a valid answer choice.
Using the Commutative Property of Addition, we cannot rewrite the expression because addition is not involved in the original expression.
Therefore, the correct answers are A) Commutative Property of Multiplication and C) Associative Property of Multiplication.