This key facts covers The Sign Rules for × and ÷ within Negative Numbers for GCSE Mathematics. Revise Negative Numbers in Number for GCSE Mathematics with 12 exam-style questions and 22 flashcards. Use this page as part of a wider topic revision path rather than treating it as an isolated fact. It is section 3 of 14 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.
The Sign Rules for × and ÷
Golden Rule: Same signs = Positive, Different signs = Negative
| Operation | Signs | Result | Example | Memory Tip |
|---|---|---|---|---|
| × or ÷ | + and + | Positive | 3 × 4 = 12 | Same = Happy 😊 |
| × or ÷ | − and − | Positive | (-3) × (-4) = 12 | |
| × or ÷ | + and − | Negative | 3 × (-4) = -12 | Different = Sad 😞 |
| × or ÷ | − and + | Negative | (-3) × 4 = -12 |
Practice questions for Negative Numbers
Which of these statements is true?
Aisha's bank account shows a balance of -45 pounds. She deposits 70 pounds. Explain what her new balance is and what the negative sign meant originally.
Quick recall flashcards
Using a number line
Draw a horizontal line with 0 in the middle. Negative numbers go LEFT, positive RIGHT. Moving right = adding, moving left = subtracting.
Double Negative Rule
Subtracting a negative = Adding. Two minuses make a plus: 5 − (−3) = 5 + 3 = 8