Pre-Algebra · Integers and negative numbers
How to Add a Positive and a Negative Number
Problem
Answer
Adding a positive number and a negative number is a tug of war. The larger size wins, and the answer keeps the sign of the larger number.
Step-by-step solution
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Start at -7 on the number line.
Why: The first number is the starting point.
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Move 4 places to the right.
Why: Adding a positive number moves right.
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Read the landing point.
Why: The move stops at -3, which is 4 units above -7.
Common mistakes
- Moving left when adding a positive number.
- Writing 11 by adding 7 + 4 and ignoring the signs.
- Losing the sign of the larger number. The result stays negative.
Practice problems
Use the same method. Work each problem on paper, then open the answer to check.
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