Negative numbers: plus and minus

You learn to add and subtract with negative numbers by moving along the number line.

How to work it out

  1. Put your finger on the first number on the number line.
  2. Plus is to the right, minus is to the left.
  3. If the second number is negative, turn the direction around.
  4. Count the steps, and go on past zero.

3 − 7

  1. Start at 3.
  2. Subtracting moves you left: go 7 steps.
  3. After 3 steps you are at 0, and after 4 more you are at −4.
More examples

−3 + 7

  1. Start at −3.
  2. Adding moves you right: go 7 steps.
  3. After 3 steps you are at 0, and after 4 more you are at 4.

2 + (−5)

  1. Start at 2.
  2. Adding a negative number moves you left: go 5 steps.
  3. After 2 steps you are at 0, and after 3 more you are at −3.

5 − (−2)

  1. Start at 5.
  2. Subtracting a negative number moves you right: go 2 steps.
  3. You end up at 7.