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Year 7 · Maths · Negative numbers · Lesson 1

Adding and subtracting negative numbers

Order negative numbers and add and subtract with negatives using number lines and the sign rules, including temperature problems.

Whiteboard video lesson: Adding and subtracting negative numbers

23-minute video lesson

Teaching, worked examples and 20 practice questions solved step by step.

Watch free for a month

What your child will learn

  • Order positive and negative numbers
  • Add to and subtract from negative numbers
  • Add and subtract negative numbers
  • Simplify two signs
  • Solve temperature problems

The method

  1. Simplify two signs: same signs +, different signs −.
  2. Start at the first number.
  3. + moves right, − moves left.
  4. Draw a number line if it helps.

Key words: negative, number line, integer, temperature, difference.

Worked examples

The first three practice questions from the lesson, with every step.

Question 1

Write in order, smallest first: −7, 2, −3, 0, 5

  1. Step 1: Use a number line
  2. Step 2: −7, −3, 0, 2, 5

Answer: −7, −3, 0, 2, 5

Question 2

Write in order, largest first: −12, −2, −8, 6, −1

  1. Step 1: Use a number line
  2. Step 2: 6, −1, −2, −8, −12

Answer: 6, −1, −2, −8, −12

Question 3

Work out −5 + 8.

  1. Step 1: Use a number line
  2. Step 2: −5 + 8 = 3

Answer: 3