Match each expression with the property that was used to rewrite it.
(−14a)b=−14(ab)
Associative Property of Addition
13×5d=5d×13
Associative Property of Multiplication
(17+3t)−2=17+(3t−2)
Commutative Property of Addition
8+4x−3y=−3y+8+4x
Commutative Property of Multiplication
To match each expression with the property that was used to rewrite it, let's take a closer look at each expression and the properties involved.
1) (-14a)b = -14(ab)
The property used to rewrite this expression is the Associative Property of Multiplication. This property states that the product of three numbers or variables does not change, regardless of how they are grouped.
2) 13×5d = 5d×13
The property used to rewrite this expression is the Commutative Property of Multiplication. This property states that the order of multiplication does not affect the result.
3) (17+3t)-2 = 17+(3t-2)
The property used to rewrite this expression is the Associative Property of Addition. This property states that the sum of three numbers or variables does not change, regardless of how they are grouped.
4) 8+4x-3y = -3y+8+4x
The property used to rewrite this expression is the Commutative Property of Addition. This property states that the order of addition does not affect the result.
By understanding and applying these properties, you can easily rewrite expressions and simplify them.