## Elementary Algebra

Published by Cengage Learning

# Chapter 1 - Some Basic Concepts of Arithmetic and Algebra - 1.3 - Integers: Addition and Subtraction - Problem Set 1.3: 44

#### Answer

$-33$

#### Work Step by Step

We start with the given expression: $25-58$ First, we will convert this to an addition problem: $25+(-58)$ We can find the sum of a positive and a negative integer by subtracting the smaller absolute value from the larger absolute value and giving the result the sign of the original number that has the larger absolute value. Since $|-58|>|25|$, we can subtract $25$ from $58$, giving us $33$. Since the larger absolute value was originally negative, we attach a negative sign: $-33$

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