Math Problem Statement
Solution
It looks like you’ve uploaded an "Order of Operations Puzzle" worksheet. The problems focus on evaluating expressions using the correct order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right)).
Let’s walk through the worksheet’s problems:
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15 - 3 × 4 = 3
- The student wrote: , which is correct. The order of operations was followed (multiplying before subtracting).
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(18 ÷ 4) × 2 = 11
- Solution: , but the student circled this as correct even though the final answer isn't 11.
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20 - 8 + 3 = 9
- This one looks fine: and then , so the answer is 15, not 9. It was evaluated incorrectly.
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56 ÷ 8 - 1 = 6
- , and , which is correct.
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20 + 10 × 2 = 4
- The student incorrectly evaluated , which is wrong. The correct solution should follow multiplication first:
- , then , not 4.
- The student incorrectly evaluated , which is wrong. The correct solution should follow multiplication first:
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(7 × 5) ÷ 2 = 49
- Evaluating inside parentheses: , then , not 49. The answer provided is incorrect.
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5 + 8 × 2 - 4 = 22
- Correctly solved:
- , then , and finally , not 22.
- Correctly solved:
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36 ÷ 6 × 2 + 9 = 12
- The correct order should be division and multiplication first:
- , then , and , not 12. The answer is incorrect.
- The correct order should be division and multiplication first:
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4 × 10 ÷ 3 + 2 = 8
- The student's scratch work shows , so the final answer should be:
- , which does not equal 8. The answer is incorrect.
- The student's scratch work shows , so the final answer should be:
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43 - 4 × 4 + 8 = 35
- Correctly evaluated:
- , then , and , which is correct.
- Correctly evaluated:
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16 + 21 - 3 × 6 = 19
- Multiplication first: , then , and , which is correct.
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11 + 10 - 4 × 9 = 65
- The correct answer is:
- , then , and , so it does not equal 65. This is incorrect.
- The correct answer is:
Would you like to go into more detail on any specific question?
Here are 5 related questions to practice:
- How do you handle parentheses in expressions like ?
- What’s the result of ?
- If an equation has both addition and subtraction, which one should be done first?
- How do you solve ?
- Can you explain why ?
Tip: Always solve any operations inside parentheses first, then move on to exponents, and continue following the PEMDAS rule step by step!
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Math Problem Analysis
Mathematical Concepts
Order of Operations
Arithmetic Operations
PEMDAS
Formulas
Basic arithmetic operations: Addition, Subtraction, Multiplication, Division
Order of operations (PEMDAS)
Theorems
None specifically, but the order of operations rules are applied: PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction)
Suitable Grade Level
Grades 5-7