To solve the equations using the
Order of Operations, we follow the BIMDAS rule (Brackets, Indices, Multiplication, Division, Addition, Subtraction). Let's solve each equation step by step.
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1. \( 20 + 8 \times 4 = \)
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Step 1: Perform multiplication first: \( 8 \times 4 = 32 \).
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Step 2: Add: \( 20 + 32 = 52 \).
Answer: \( 52 \)
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2. \( 7 \times 6 + 4 \times 4 = \)
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Step 1: Perform multiplications first:
- \( 7 \times 6 = 42 \)
- \( 4 \times 4 = 16 \)
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Step 2: Add: \( 42 + 16 = 58 \).
Answer: \( 58 \)
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3. \( 42 \div 7 + 8 \times 8 = \)
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Step 1: Perform division and multiplication first:
- \( 42 \div 7 = 6 \)
- \( 8 \times 8 = 64 \)
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Step 2: Add: \( 6 + 64 = 70 \).
Answer: \( 70 \)
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4. \( 15 + 9 \times 5 + 15 = \)
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Step 1: Perform multiplication first: \( 9 \times 5 = 45 \).
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Step 2: Add: \( 15 + 45 + 15 = 75 \).
Answer: \( 75 \)
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5. \( 7 \times 7 + 4 \times 3 = \)
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Step 1: Perform multiplications first:
- \( 7 \times 7 = 49 \)
- \( 4 \times 3 = 12 \)
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Step 2: Add: \( 49 + 12 = 61 \).
Answer: \( 61 \)
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6. \( 36 \div 6 \times 5 = \)
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Step 1: Perform division and multiplication from left to right:
- \( 36 \div 6 = 6 \)
- \( 6 \times 5 = 30 \).
Answer: \( 30 \)
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7. \( 82 - 9 \times 9 + 20 = \)
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Step 1: Perform multiplication first: \( 9 \times 9 = 81 \).
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Step 2: Subtract and add from left to right:
- \( 82 - 81 = 1 \)
- \( 1 + 20 = 21 \).
Answer: \( 21 \)
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8. \( 4 \times 12 + 3 \times 4 = \)
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Step 1: Perform multiplications first:
- \( 4 \times 12 = 48 \)
- \( 3 \times 4 = 12 \)
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Step 2: Add: \( 48 + 12 = 60 \).
Answer: \( 60 \)
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9. \( 6 \times 12 + 3 \times 3 = \)
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Step 1: Perform multiplications first:
- \( 6 \times 12 = 72 \)
- \( 3 \times 3 = 9 \)
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Step 2: Add: \( 72 + 9 = 81 \).
Answer: \( 81 \)
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10. \( 12 + 12 \times 12 = \)
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Step 1: Perform multiplication first: \( 12 \times 12 = 144 \).
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Step 2: Add: \( 12 + 144 = 156 \).
Answer: \( 156 \)
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Final Answers:
1. \( 52 \)
2. \( 58 \)
3. \( 70 \)
4. \( 75 \)
5. \( 61 \)
6. \( 30 \)
7. \( 21 \)
8. \( 60 \)
9. \( 81 \)
10. \( 156 \)
Boxed Final Answer:
\[
\boxed{52, 58, 70, 75, 61, 30, 21, 60, 81, 156}
\]
Parent Tip: Review the logic above to help your child master the concept of order of operations 6th grade worksheet.