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Chapter 2: Problem 34

Name the property that makes the statement true. $$2+(-3)=-3+2$$

Short Answer

Expert verified
The property that makes the statement true is the Commutative Property of Addition.

Step by step solution

01

Understand the problem

Review the equation and identify that the order of numbers is swapped in the addition process on both sides of the equation to recognize the mathematical property being used.
02

Identify the property

Match the observed pattern to known mathematical properties - here, the commutative property of addition, stating that the order in which numbers are added does not change the result.

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Most popular questions from this chapter

LOGICAL REASONING Decide whether the statement is true or false If false, rewrite the right-hand side of the equation so the statement is true. $$ \frac{2}{9}\left(\frac{1}{3}-\frac{4}{9}\right) \stackrel{?}{=} \frac{2}{9}\left(\frac{1}{3}\right)-\frac{2}{9}\left(\frac{4}{9}\right) $$

BUYING JEANS You have 58 dollar, and you want to buy a pair of jeans and a \(\$ 20\) T-shirt. There is a \(6 \%\) sales tax. If \(x\) represents the cost of the jeans, then the following inequality is a model that shows how much you can spend on the jeans. $$ x+20+0.06(x+20) \leq 58 $$ Simplify the left side of the inequality.

DISTRIBUTIVE PROPERTY Use the distributive property to rewrite the expression without parentheses. $$ -3(r+8) $$

DISTRIBUTIVE PROPERTY Use the distributive property to rewrite the expression without parentheses. $$ x(x+1) $$

Use the distributive property and mental math to simplify the expression. $$ -3 y-2 x $$
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