Order of Operations with Integers Worksheet (printable, online ... - Free Printable

Let's solve each expression step by step using the order of operations (PEMDAS):

> PEMDAS = Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

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Left Column

#### 1. $ 3 \times 4 - 4 \times (-7) $

- Multiply first:
- $ 3 \times 4 = 12 $
- $ 4 \times (-7) = -28 $
- Now: $ 12 - (-28) = 12 + 28 = \boxed{40} $

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#### 2. $ 12 \times (-2) - 11 + 2 $

- Multiply first:
- $ 12 \times (-2) = -24 $
- Then: $ -24 - 11 + 2 $
- Left to right:
- $ -24 - 11 = -35 $
- $ -35 + 2 = \boxed{-33} $

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#### 3. $ (-96) \div (-4) + (-9) - (-11) $

- Divide first:
- $ (-96) \div (-4) = 24 $
- Now: $ 24 + (-9) - (-11) $
- Simplify:
- $ 24 - 9 = 15 $
- $ 15 + 11 = \boxed{26} $

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#### 4. $ (-3) + (-12) - (-3) - (-7) $

- All are addition/subtraction; go left to right:
- $ -3 + (-12) = -15 $
- $ -15 - (-3) = -15 + 3 = -12 $
- $ -12 - (-7) = -12 + 7 = \boxed{-5} $

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#### 5. $ 2 + 11 + 66 + 11 $

- Just add all:
- $ 2 + 11 = 13 $
- $ 13 + 66 = 79 $
- $ 79 + 11 = \boxed{90} $

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Right Column

#### 6. $ (-3) \times (-6) - (-12) + (-6) $

- Multiply first:
- $ (-3) \times (-6) = 18 $
- Now: $ 18 - (-12) + (-6) $
- Simplify:
- $ 18 + 12 = 30 $
- $ 30 - 6 = \boxed{24} $

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#### 7. $ (-8) - (-66) \div 11 + (-3) $

- Division first:
- $ (-66) \div 11 = -6 $
- Now: $ -8 - (-6) + (-3) $
- Simplify:
- $ -8 + 6 = -2 $
- $ -2 - 3 = \boxed{-5} $

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#### 8. $ 5 - 6 \times 3 + 7 $

- Multiply first:
- $ 6 \times 3 = 18 $
- Now: $ 5 - 18 + 7 $
- Left to right:
- $ 5 - 18 = -13 $
- $ -13 + 7 = \boxed{-6} $

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#### 9. $ (-10) \times (-9) + (-12) + (-3) $

- Multiply first:
- $ (-10) \times (-9) = 90 $
- Now: $ 90 + (-12) + (-3) $
- $ 90 - 12 = 78 $
- $ 78 - 3 = \boxed{75} $

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#### 10. $ 4 \times 66 + 11 + 12 $

- Multiply first:
- $ 4 \times 66 = 264 $
- Now: $ 264 + 11 + 12 $
- $ 264 + 11 = 275 $
- $ 275 + 12 = \boxed{287} $

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✔ Final Answers:

| Expression | Answer |
|----------|--------|
| $ 3 \times 4 - 4 \times (-7) $ | 40 |
| $ 12 \times (-2) - 11 + 2 $ | -33 |
| $ (-96) \div (-4) + (-9) - (-11) $ | 26 |
| $ (-3) + (-12) - (-3) - (-7) $ | -5 |
| $ 2 + 11 + 66 + 11 $ | 90 |
| $ (-3) \times (-6) - (-12) + (-6) $ | 24 |
| $ (-8) - (-66) \div 11 + (-3) $ | -5 |
| $ 5 - 6 \times 3 + 7 $ | -6 |
| $ (-10) \times (-9) + (-12) + (-3) $ | 75 |
| $ 4 \times 66 + 11 + 12 $ | 287 |

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