This deep dive covers Higher Level: Powers with Negatives 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 11 of 14 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Higher Level: Powers with Negatives
| Expression | Meaning | Calculation | Answer |
|---|---|---|---|
| (−3)² | Square the negative number | (−3) × (−3) | +9 |
| −3² | Make 3² negative | −(3 × 3) = −(9) | −9 |
Key Point: Brackets make all the difference! (−3)² ≠ −3²
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