Integers and BODMAS
Positive and negative numbers, order of operations
Watch the signs carefully. For BODMAS, solve Brackets first, then Orders (powers), then Division and Multiplication from left to right, then Addition and Subtraction from left to right.
💡 Sign rules
- (+) × (+) = + (−) × (−) = +
- (+) × (−) = − (−) × (+) = − (the same rules work for division)
- Subtracting a negative is the same as adding: 5 − (−3) = 5 + 3
Part AInteger operations
- (−7) + 12 =
- (−15) − (−9) =
- (−8) × 6 =
- (−72) ÷ (−9) =
- 14 − (−6) =
- (−3) × (−4) × (−5) =
- (−100) ÷ 25 =
- 0 − (−17) =
Part BBODMAS
- 18 − 3 × 4 =
- (18 − 3) × 4 =
- 48 ÷ 6 × 2 =
- 5 + 2 × (8 − 3)² =
- 100 ÷ (5 × 4) + 7 =
- 3 × [12 − (2 + 4)] =
- −6 + 4 × (−3) =
- (−2)³ + 10 =
Part CWord problems
- 🌡️ At 5 a.m. the temperature in Shimla is −4°C. It rises by 3°C every hour. What is the temperature at 10 a.m.?
- 🌊 A submarine is at −120 m. It rises 45 m and then dives 30 m. Where is it now?
- 🏆 In a quiz, a correct answer scores +5 and a wrong answer scores −2. Asha gets 8 right and 4 wrong. What is her score?
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