Adding Integers Worksheet
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Adding Integers Worksheet
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Worked Example
Problem: (−12) + 7
- Find the absolute values: |−12| = 12, |7| = 7— Absolute value tells you how far each number is from zero, ignoring its sign.
- Subtract the smaller from the larger: 12 − 7 = 5— Because the signs differ, you subtract to find the "net" distance from zero.
- Apply the sign of the number with the larger absolute value: 12 > 7, and −12 is negative, so the answer is negative.— The larger absolute value "wins" the tug-of-war and determines the sign of the result.
Answer: (−12) + 7 = −5
Frequently Asked Questions
Subtract the smaller absolute value from the larger, then keep the sign of the number with the larger absolute value. For example, −8 + 3: subtract 3 from 8 to get 5, and since 8 is larger and negative, the answer is −5.
Start at the first number on the number line. Adding a positive means moving right; adding a negative means moving left. Where you land is the sum.
Add their absolute values and keep the negative sign. For example, (−4) + (−6) = −10.
Opposite integers are called additive inverses. Any number added to its opposite always equals zero, which is called the zero-pair property.
Parentheses around a negative number like (−3) just clarify that the sign belongs to the number, not to an operation. Treat (−3) and −3 identically when adding.