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Chapter 2: Q1. (page 66)

Which property allows you to write?

4鈥�+鈥�(3鈥�+9鈥�)鈥�鈥�=鈥�鈥�(4鈥�+3)+9

Short Answer

Expert verified

The property is Associative 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 – Associative Property of Addition of Real Numbers: 

Suppose a, b, and c is three real numbers.

Associative property of Addition: (a + b) + c = a + (b + c)

If you are adding three real numbers, the sum is always the same regardless of their grouping.

Example: (11+12) + 13 = 11 + (12+13) = 36

03

Step-3 – Write the name of the property: 4 + (3 + 9) = (4 + 3) + 9 

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

Associative property of Addition: (a + b) + c = a + (b + c)

Name of the property for this equation 4 + (3 + 9) = (4 + 3) + 9 is Associative property of Addition.

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Most popular questions from this chapter

Evaluate the expression using the distributive property and mental math.

3鈥�鈥�(96)

Evaluate the expression whenx鈥�鈥�=鈥�鈥�5鈥�鈥�and鈥�鈥�y鈥�鈥�=鈥�鈥�-鈥�鈥�2.

x2鈥�鈥�+y3+鈥�鈥�15鈥�鈥�

Find the area of the rectangle or triangle.

Simplify the expression.

-2+y+8

Game Room You are building a game room adjacent to your living room. The widths of the two rooms must be the same. There are no restrictions on the game room鈥檚 length l.

a. Write an expression for the total area of both rooms by multiplying their common width by their combined length.

b. Write a second expression for the total area by finding the area of each room separately and then adding the two areas.

c. Show that the expressions from parts (a) and (b) are equivalent.
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