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Year 7 · Maths · Negative numbers · Lesson 2

Multiplying and dividing negative numbers

Multiply and divide with negative numbers using the sign rules, including powers of negatives and missing-number problems.

Whiteboard video lesson: Multiplying and dividing negative numbers

22-minute video lesson

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

Watch free for a month

What your child will learn

  • Multiply negative numbers
  • Divide negative numbers
  • Use the sign rules
  • Square and cube negative numbers
  • Solve missing number problems

The method

  1. Ignore the signs and calculate.
  2. Same signs: positive answer.
  3. Different signs: negative answer.
  4. More than two numbers: count the negatives (even +, odd −).

Key words: negative, multiply, divide, sign, integer.

Worked examples

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

Question 1

Work out (−2) × 5.

  1. Step 1: Numbers: 2 × 5 = 10
  2. Step 2: Signs: different, so negative
  3. Step 3: (−2) × 5 = −10

Answer: −10

Question 2

Work out 6 × (−3).

  1. Step 1: Numbers: 6 × 3 = 18
  2. Step 2: Signs: different, so negative
  3. Step 3: 6 × (−3) = −18

Answer: −18

Question 3

Work out (−4) × (−4).

  1. Step 1: Numbers: 4 × 4 = 16
  2. Step 2: Signs: same, so positive
  3. Step 3: (−4) × (−4) = 16

Answer: 16