Question

Please Help! 15 Points. Which of the following properties were used to rewrite the expression (8u)v+9w as 9w+8(uv)? There are two correct answers. A. Commutative Property of Addition B. Commutative Property of Multiplication C. Associative Property of Addition D. Associative Property of Multiplication

Answer 1

Answers:

A. Commutative Property of Addition &

D. Associative Property of Multiplication

Explanation:

Now let's see why these are the correct answers:

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Commutative Property of Addition states that changing the order of the addends will not affect the sum. For example 5 + 4 and 4 + 5 are both 9.

Here, this is a correct answer because 9w is moved from the end of the equation to the front.

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Commutative Property of Multiplication states that changing the order of multiplicands does not change the product. For example 5 x 2 and 2 x 5 both equal 10.

Here, this is not a correct answer because the multiplicands are associated differently in the parentheses.

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Associative Property of Addition states that the way in which addends are grouped within parentheses doesn't change the sum. For example (2 + 3) + 4 or 2 + (3 + 4) both equal 9.

Here, this is not a correct answer because the addends are not in parentheses, which is the only time this property applies.

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Associative Property of Multiplication states that the way in which multiplicands are grouped within parentheses does not affect the product. For example 2 x (2 x 2) and (2 x 2) x 2 both equal 8.

Here, this is a correct answer because the multiplicands are within parentheses and are regrouped in the second equation, the (8u)v having been regrouped as 8(uv).

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I AM ALWAYS HAPPY TO HELP :)

Answer 2

• A. Commutative Property of Addition
• D. Associative Property of Multiplication

Explanation:

The commutative property lets you swap the order of operands. Here, the operands for addition, (8uv) and (9w), are interchanged. The Commutative Property of Addition lets you do that.

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The associative property lets you group operands differently. Here, the operands in the product 8uv are changed from the grouping (8u)v to the grouping 8(uv). The Associative Property of Multiplication lets you do that.