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Chapter 2: Q57. (page 73)

Identify the property that the statement illustrates. (Lesson 2.1)

3m+2n=2n+3m

Short Answer

Expert verified

The property is commutative property of Addition.

Step by step solution

01

Step-1 – What are real numbers? 

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

02

Step-2 – Commutative Property of Addition:

Property: a + b = b + a

If you add two real numbers in any order, the sum will always be the same.

Example: 5 + 2 = 2 + 5 = 7

03

Step-3 – Write the name of the property: 3m + 2n = 2n + 3m  

Associative property of Addition states, if you are adding three real numbers, the sum is always the same regardless of their grouping.

Commutative property of Addition: a + b = b + a

Name of the property for this equation 3m鈥�鈥�+鈥�鈥�2n鈥�鈥�=鈥�鈥�2n鈥�鈥�+鈥�鈥�3mis Commutative property of Addition.

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Most popular questions from this chapter

Evaluate the expression using the distributive property and mental math.

(鈥�鈥�211鈥�鈥�)鈥�鈥�(-鈥�3)

Evaluate the expression. Justify each of your steps.

3.(26鈥�+18鈥�)鈥夆赌�+34鈥夆赌�

Evaluate the expression using the distributive property and mental math.

4鈥�鈥�(鈥�鈥�98鈥�鈥�)

Are 2(x+1)鈥�鈥�and鈥�鈥�2x+1 equivalent variable expressions? Explain.

Use the distributive property to write an equivalent variable expression.

-鈥�鈥�2鈥�(鈥�鈥�3鈥�鈥�-鈥�鈥�r鈥�鈥�)
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