Asked by Lauren-Nicole Caday on Jul 15, 2024
Verified
Identify the property of algebra illustrated by the statement −9x(y+z) =−9xy−9xz- 9 x ( y + z ) = - 9 x y - 9 x z−9x(y+z) =−9xy−9xz .
A) Distributive Property
B) Associative Property of Addition
C) Commutative Property of Addition
D) Commutative Property of Multiplication
E) Associative Property of Multiplication
Distributive Property
A property that allows one to multiply a sum by a number by multiplying each addend individually by the number.
Algebra
A field within mathematics that focuses on the use of symbols and the principles governing their manipulation, serving as a foundational basis for nearly the entirety of mathematical disciplines.
- Discern and employ distinct properties of algebra (additive inverse, additive identity, commutative, associative, distributive) in order to streamline expressions and address equations.
- Apply the distributive property to simplify expressions.
Verified Answer
KS
Karen SerranoJul 17, 2024
Final Answer :
A
Explanation :
The statement demonstrates the Distributive Property, which states that when multiplying a term by two or more terms inside parentheses, the term can be distributed to each term inside the parentheses separately.
Learning Objectives
- Discern and employ distinct properties of algebra (additive inverse, additive identity, commutative, associative, distributive) in order to streamline expressions and address equations.
- Apply the distributive property to simplify expressions.