Absolutely! Let’s solve each of these integer expression problems using
PEMDAS (Parentheses, Exponents, Multiplication/Division from left to right, Addition/Subtraction from left to right). Since there are no parentheses or exponents here, we focus on
Multiplication and Division first, then
Addition and Subtraction.
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🔹 Left Column:
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1. `3 × 4 - 4 × (-7)`
- Multiply:
`3 × 4 = 12`
`4 × (-7) = -28`
- Now: `12 - (-28)` → Subtracting a negative is adding the positive:
`12 + 28 = 40`
✔ Answer: 40
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2. `12 × (-2) - 11 + 2`
- Multiply: `12 × (-2) = -24`
- Now: `-24 - 11 + 2`
- Left to right:
`-24 - 11 = -35`
`-35 + 2 = -33`
✔ Answer: -33
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3. `(-96) ÷ (-4) + (-9) - (-11)`
- Divide: `(-96) ÷ (-4) = 24` (negative ÷ negative = positive)
- Now: `24 + (-9) - (-11)`
- Simplify:
`24 - 9 = 15`
`15 - (-11) = 15 + 11 = 26`
✔ Answer: 26
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4. `(-3) + (-12) - (-3) - (-7)`
- No multiplication/division, so go left to right:
- `(-3) + (-12) = -15`
- `-15 - (-3) = -15 + 3 = -12`
- `-12 - (-7) = -12 + 7 = -5`
✔ Answer: -5
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5. `2 + 11 + 66 ÷ 11`
- Division first: `66 ÷ 11 = 6`
- Now: `2 + 11 + 6 = 19`
✔ Answer: 19
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🔹 Right Column:
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6. `(-3) × (-6) - (-12) + (-6)`
- Multiply: `(-3) × (-6) = 18`
- Now: `18 - (-12) + (-6)`
- Simplify:
`18 + 12 = 30`
`30 + (-6) = 24`
✔ Answer: 24
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7. `(-8) - (-66) ÷ 11 + (-3)`
- Division first: `(-66) ÷ 11 = -6`
- Now: `(-8) - (-6) + (-3)`
- Simplify:
`-8 + 6 = -2`
`-2 + (-3) = -5`
✔ Answer: -5
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8. `5 - 6 × 3 + 7`
- Multiply: `6 × 3 = 18`
- Now: `5 - 18 + 7`
- Left to right:
`5 - 18 = -13`
`-13 + 7 = -6`
✔ Answer: -6
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9. `(-10) × (-9) + (-12) + (-3)`
- Multiply: `(-10) × (-9) = 90`
- Now: `90 + (-12) + (-3)`
- `90 - 12 = 78`
- `78 - 3 = 75`
✔ Answer: 75
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10. `4 × 66 ÷ 11 + 12`
- Multiplication and division left to right:
First: `4 × 66 = 264`
Then: `264 ÷ 11 = 24`
- Now: `24 + 12 = 36`
✔ Answer: 36
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##
✔ Final Answers (Left to Right, Top to Bottom):
Left Column:
1. 40
2. -33
3. 26
4. -5
5. 19
Right Column:
6. 24
7. -5
8. -6
9. 75
10. 36
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Let me know if you’d like a step-by-step breakdown for any one problem again — happy to help! 😊
Parent Tip: Review the logic above to help your child master the concept of all operations with integers worksheet.