Addition and Subtraction

2-2Addition on a Number Line

Overview

Adding a positive moves right; adding a negative moves left. Start at the first number and move by the second.

Key ideas

  • (+) + (+) → move right.
  • (+) + (−) → move left.
  • The sum is your stopping point.

Worked examples

Example 1

Problem. Find 3 + (−5) on a number line.

Solution. Start at 3, move 5 left → −2.

Example 2

Problem. Find −2 + 6.

Solution. Start at −2, move 6 right → 4.

Practice

Try each one. Click Show answer when ready.

  1. 1.

    −4 + 7

  2. 2.

    5 + (−9)

  3. 3.

    −3 + (−2)

Challenge problems

A little tougher — great for test prep. Click Show answer when ready.

  1. 1.

    Show 5 + (−3) on a number line and state the result.

  2. 2.

    What number must you add to −4 to get 1? Use a number line to explain.