To solve the given equations, we need to follow the
order of operations, often remembered by the acronym
PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). Let's solve each equation step by step.
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1. \( 22 + 8 \times 10 = \)
- First, perform the multiplication: \( 8 \times 10 = 80 \).
- Then, add: \( 22 + 80 = 102 \).
Answer: \( 102 \)
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2. \( 25 - 4 \times 3 + 22 = \)
- First, perform the multiplication: \( 4 \times 3 = 12 \).
- Then, subtract and add from left to right:
- \( 25 - 12 = 13 \)
- \( 13 + 22 = 35 \).
Answer: \( 35 \)
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3. \( 28 \div 7 + 8 \times 5 = \)
- First, perform the division and multiplication:
- \( 28 \div 7 = 4 \)
- \( 8 \times 5 = 40 \)
- Then, add: \( 4 + 40 = 44 \).
Answer: \( 44 \)
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4. \( 16 \times 2 + 30 \div 6 = \)
- First, perform the multiplication and division:
- \( 16 \times 2 = 32 \)
- \( 30 \div 6 = 5 \)
- Then, add: \( 32 + 5 = 37 \).
Answer: \( 37 \)
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5. \( 82 + 6 \times 3 + 20 = \)
- First, perform the multiplication: \( 6 \times 3 = 18 \).
- Then, add from left to right:
- \( 82 + 18 = 100 \)
- \( 100 + 20 = 120 \).
Answer: \( 120 \)
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6. \( 36 \div 6 \times 7 = \)
- Perform the division and multiplication from left to right:
- \( 36 \div 6 = 6 \)
- \( 6 \times 7 = 42 \).
Answer: \( 42 \)
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7. \( 42 + 9 \times 4 + 10 = \)
- First, perform the multiplication: \( 9 \times 4 = 36 \).
- Then, add from left to right:
- \( 42 + 36 = 78 \)
- \( 78 + 10 = 88 \).
Answer: \( 88 \)
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8. \( 5 \times 5 + 8 \times 3 = \)
- First, perform the multiplications:
- \( 5 \times 5 = 25 \)
- \( 8 \times 3 = 24 \)
- Then, add: \( 25 + 24 = 49 \).
Answer: \( 49 \)
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9. \( 55 \div 11 + 7 \times 6 = \)
- First, perform the division and multiplication:
- \( 55 \div 11 = 5 \)
- \( 7 \times 6 = 42 \)
- Then, add: \( 5 + 42 = 47 \).
Answer: \( 47 \)
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10. \( 17 + 8 \times 3 = \)
- First, perform the multiplication: \( 8 \times 3 = 24 \).
- Then, add: \( 17 + 24 = 41 \).
Answer: \( 41 \)
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Final Answers:
1. \( 102 \)
2. \( 35 \)
3. \( 44 \)
4. \( 37 \)
5. \( 120 \)
6. \( 42 \)
7. \( 88 \)
8. \( 49 \)
9. \( 47 \)
10. \( 41 \)
Boxed Answer:
\[
\boxed{102, 35, 44, 37, 120, 42, 88, 49, 47, 41}
\]
Parent Tip: Review the logic above to help your child master the concept of bodmas worksheet.