Quick answer
Adding negative numbers becomes easier when you separate two situations: numbers with the same sign and numbers with different signs.
Add two negative numbers
Add their absolute values and keep the negative sign. For example, -4 + (-7) = -11 because 4 + 7 = 11.
Add a positive and a negative
Compare the absolute values, subtract the smaller from the larger, and use the sign of the number with the larger absolute value. For example, -9 + 4 = -5, while 9 + (-4) = 5.
Use a number line
Start at the first number. Move right for a positive amount and left for a negative amount. Starting at -3 and moving left 5 spaces ends at -8.
Worked examples
-6 + (-2) = -8-12 + 7 = -56 + (-11) = -5
Common mistake to avoid
Do not always add the absolute values: -8 + 3 is -5, not -11.
Practice questions
Try these without looking at the answers first. Explain your reasoning aloud or write each step.
- Question:
-5 + (-4)— Answer:-9 - Question:
10 + (-6)— Answer:4 - Question:
-7 + 7— Answer:0
What to learn next
Review the related lessons linked below, then practice independently. If you make an error, write down which rule you used and why it did not apply.
