The distributive property states:

A. You can multiply numbers in any order and get the same answer.
B. You must multiply numbers in order from left to right.
C. You can change the grouping of numbers that are being multiplied and get the same answer.
D. If a sum of two numbers is multiplied by a factor, you can multiply each number by that factor and then add the products.

Question

02-11-2020
Mathematics

contestada

The distributive property states:

A. You can multiply numbers in any order and get the same answer.
B. You must multiply numbers in order from left to right.
C. You can change the grouping of numbers that are being multiplied and get the same answer.
D. If a sum of two numbers is multiplied by a factor, you can multiply each number by that factor and then add the products.

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Answer:

D. If a sum of two numbers is multiplied by a factor, you can multiply each number by that factor and then add the products.

Step-by-step explanation:

The point of the distributive property is that it allows multiplication to be distributed over addition. That is, ...

a(b +c) = ab +ac

The product of a factor and a sum is the same as the sum of the products of that factor with each of the elements of the sum. This is expressed in statement D.

__

Statement A refers to the commutative property of multiplication.

Statement B is a restatement of the multiplication rule in the "order of operations."

Statement C refers to the associative property of multiplication.

Statement D is a restatement of the distributive property.