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About this video
Five timed integer questions — brackets, two minus signs side by side, roots and powers — then the full working for each, with no calculator. Pause the video and try to beat the teacher.
What it covers
- Brackets first, then × and ÷, then + and −
- Two minus signs next to each other make a plus
- Powers of negative numbers: (−2)³ = −8
- Add under a root sign first — never take the root of each term
- No calculator: the method earns the marks
Extra worked examples
✍️ Extra example: −6 − (−3) + 5 × (−2)
- 1−6 + 3 + 5 × (−2)Two minus signs next to each other make a plus.
- 2−6 + 3 + (−10)× before +: 5 × (−2) = −10.
- 3= −13Left to right: −6 + 3 = −3, then −3 − 10 = −13.
✍️ Extra example: √(9 + 16) − (−3)²
- 1√25 − (−3)²Add under the root first — √9 + √16 = 7 would be wrong.
- 25 − 9(−3)² = (−3) × (−3) = 9: the bracket squares the minus too.
- 3= −4
Exercises to try
Work each one out, then click to reveal the answer.
- 1Calculate (−8 + 3) + 6.
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−5 + 6 = 1 (brackets first) - 2Calculate −4 − (−7) + 3 × 2.
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−4 + 7 + 6 = 9 - 3Calculate √25 − (−2) + 1.
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5 + 2 + 1 = 8 - 4Calculate √(36 + 64) − 3 + (1 − (−4)).
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√100 − 3 + 5 = 10 − 3 + 5 = 12 - 5Calculate (−3)³ + 12 ÷ (√9 − 1).
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−27 + 12 ÷ 2 = −27 + 6 = −21
