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Expert-verified Found in: Page 62 ### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # Perform the indicated operation.$-19 + 12$

See the step by step solution

## Step 1: Apply the concept of adding or subtracting integers

Rule: The sum of any integer and its opposite is equal to zero.

Explanation: Adding two positive integers always yields a positive sum; adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.

## Step 2: Explanation: How to add or subtract the integers.

To add two numbers with the same sign, first add the two numbers ignoring the sign and then put their common sign before the answer.

To add two numbers with the opposite sign, ignore their signs and subtract the smaller number from the bigger number. Then put the sign of the bigger number before the answer.

## Step 3: Evaluate:  – 19 + 12

To add two integers, we need to check the signs of those two integers.

Rule: To add two numbers with the opposite sign, ignore their signs and subtract the smaller number from the bigger number. Then put the sign of the bigger number before the answer.

Now Evaluate: $-19 +12$

$-19 +12 = 12 - 19 = - 7$

We can write: – 19 + 12 = – 7 ### Want to see more solutions like these? 