I'll solve this "Order of Operations" worksheet step by step, following the PEMDAS/BODMAS rule (Parentheses/Brackets, Exponents/Orders, Multiplication and Division from left to right, Addition and Subtraction from left to right).
Let me work through each problem:
Left Column:
1. `(4 + 2) × 4 - 4 =`
- First, parentheses: (4 + 2) = 6
- Then multiplication: 6 × 4 = 24
- Then subtraction: 24 - 4 = 20
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Answer: 20
2. `2 × 6 - 8 ÷ (4 + 2) =`
- First, parentheses: (4 + 2) = 6
- Then division: 8 ÷ 6 = 1.333... (or 4/3)
- Then multiplication: 2 × 6 = 12
- Then subtraction: 12 - 1.333... = 10.666... (or 32/3)
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Answer: 10.67 (rounded to two decimal places)
3. `8 - 2 × 5 + 5 - 6 =`
- First, multiplication: 2 × 5 = 10
- Then left to right: 8 - 10 = -2
- Then: -2 + 5 = 3
- Then: 3 - 6 = -3
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Answer: -3
4. `4 × 9 - (4 + 8) × 3 =`
- First, parentheses: (4 + 8) = 12
- Then multiplication: 4 × 9 = 36
- Then multiplication: 12 × 3 = 36
- Then subtraction: 36 - 36 = 0
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Answer: 0
5. `8 - (5 + 3) × 4 - 2 × 3 =`
- First, parentheses: (5 + 3) = 8
- Then multiplication: 8 × 4 = 32
- Then multiplication: 2 × 3 = 6
- Then left to right: 8 - 32 = -24
- Then: -24 - 6 = -30
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Answer: -30
6. `2 × (9 - 7) + 4 =`
- First, parentheses: (9 - 7) = 2
- Then multiplication: 2 × 2 = 4
- Then addition: 4 + 4 = 8
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Answer: 8
Right Column:
1. `6 + 2 × 2 + 9 ÷ 3 =`
- First, multiplication: 2 × 2 = 4
- Then division: 9 ÷ 3 = 3
- Then left to right: 6 + 4 = 10
- Then: 10 + 3 = 13
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Answer: 13
2. `6 + (8 - 12) ÷ 5 × 2 =`
- First, parentheses: (8 - 12) = -4
- Then division: -4 ÷ 5 = -0.8
- Then multiplication: -0.8 × 2 = -1.6
- Then addition: 6 + (-1.6) = 4.4
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Answer: 4.4
3. `(4 + 2 × 3) - (12 + 8) =`
- First, inside first parentheses: 2 × 3 = 6, then 4 + 6 = 10
- Second parentheses: 12 + 8 = 20
- Then subtraction: 10 - 20 = -10
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Answer: -10
4. `(8 + 2 × 8) ÷ 2 =`
- First, inside parentheses: 2 × 8 = 16, then 8 + 16 = 24
- Then division: 24 ÷ 2 = 12
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Answer: 12
5. `(20 + 2) × 3 - 6 =`
- First, parentheses: (20 + 2) = 22
- Then multiplication: 22 × 3 = 66
- Then subtraction: 66 - 6 = 60
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Answer: 60
6. `18 - (2 + 3) × 3 =`
- First, parentheses: (2 + 3) = 5
- Then multiplication: 5 × 3 = 15
- Then subtraction: 18 - 15 = 3
-
Answer: 3
Here are all the answers for the worksheet:
- Left column: 20, 10.67, -3, 0, -30, 8
- Right column: 13, 4.4, -10, 12, 60, 3
Parent Tip: Review the logic above to help your child master the concept of bodmas worksheet.
