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Order of Operations (Error Analysis) Directions: Each student solved a problem.  \nCircle True/ False. If False, write the correct value and explain the mistake in one sentence.  \n1. Problem: 6 + 3 × 4  \nStudent work: 6 + 3 × 4 = 9 × 4 = 36  \nTrue / False Correct value:    \nOne-sentence explanation:  \n2. Problem: 18 − 12 ÷ 3  \nStudent work: 18 − 12 ÷ 3 = 18 – 4 = 14  \nTrue / False Correct value:    \nOne-sentence explanation:  \n3. Problem: 8 × (5 + 2)  \nStudent work: 8 × (5 + 2) = 8 × 5 + 2 = 42  \nTrue / False Correct value:  \n________  \nOne-sentence explanation:  \n4. Problem: (16 − 4) ÷ 3  \nStudent work: (16 − 4) ÷ 3 = 16 − 4 ÷ 3 = 16 − 1 = 15  \nTrue / False Correct value:  \n________  \nOne-sentence explanation:  \n1  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n5. Problem: 24 ÷ 6 × 2  \nStudent work: 24 ÷ 6 × 2 = 24 ÷ 12 = 2 True / False Correct value:   One-sentence explanation:  \n6. Problem: 7 + 18 ÷ 3  \nStudent work: 7 + 18 ÷ 3 = 7 + 6 = 13 True / False Correct value:   One-sentence explanation:  \n7. Problem: (9 + 3) × 2  \nStudent work: (9 + 3) × 2 = 9 + 6 = 15  \nTrue / False Correct value:  \n________  \nOne-sentence explanation:  \n8. Problem: 30 − 4 × 5  \nStudent work: 30 − 4 × 5 = 26 × 5 = 130  \nTrue / False Correct value:  \n________  \nOne-sentence explanation:  \n9. Problem: 40 ÷ (10 − 2)  \nStudent work: 40 ÷ (10 − 2) = 40 ÷ 8 = 5 True / False Correct value:   One-sentence explanation:  \n2  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n10. Problem: 12 + 6 ÷ 2 + 3  \nStudent work: 12 + 6 ÷ 2 + 3 = 18 ÷ 2 + 3 = 9 + 3 = 12 True / False Correct value:    \nOne-sentence explanation:  \n11. Problem: 48 ÷ 8 + 4 × 3  \nStudent work: 48 ÷ 8 + 4 × 3 = 6 + 12 = 18  \nTrue / False Correct value:    \nOne-sentence explanation:  \n12. Problem: (20 − 8) ÷ (6 − 2)  \nStudent work: (20 − 8) ÷ (6 − 2) = 12 ÷ 4 = 4  \nTrue / False Correct value:  \n________  \nOne-sentence explanation:  \n13. Challenge Problem: 5 + 24 ÷ 6 × 3 − 4  \nStudent work: 5 + 24 ÷ 6 × 3 − 4  \n= 5 + 24 ÷ 18 − 4  \n= 5 + 1 remainder 6 − 4  \n= 2 remainder 6  \nTrue / False Correct value:   One-sentence explanation:  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n3  \nAnswer Key  \n1. False—Correct value: 18  \nExplanation: Multiply first (3×4=12), then add 6.  \n2. True—Correct value: 14  \nExplanation: Divide first (12÷3=4), then subtract from 18.  \n3. False—Correct value: 56  \nExplanation: Do the parentheses first (5+2=7), then multiply 8×7 .  \n4. False—Correct value: 4  \nExplanation: Subtract inside the parentheses first (16−4=12), then divide by 3.  \n5. False—Correct value: 8  \nExplanation: For ÷ and ×, go left to right: 24÷6=4, then 4×2=8 .  \n6. True—Correct value: 13  \nExplanation: Divide first (18÷3=6), then add 7.  \n7. False—Correct value: 24  \nExplanation: Add inside parentheses first (9+3=12), then multiply 12×2 .  \n8. False—Correct value: 10  \nExplanation: Multiply first (4×5=20), then subtract from 30.  \n9. True—Correct value: 5  \nExplanation: Parentheses first (10−2=8), then 40÷8=5 .  \n10. False—Correct value: 18  \nExplanation: Divide first (6÷2=3), then add: 12+3+3=18 .  \n11. True—Correct value: 18  \nExplanation: 48÷8=6 and 4×3=12, then 6+12=18 .  \n12. False—Correct value: 3  \nExplanation: Parentheses first: 20−8=12 and 6−2=4, then 12÷4=3 .  \n13. False—Correct value: 13  \nExplanation: Do ÷ and × left to right (24÷6=4, 4×3=12), then","cbCaiuzLTrTR9Jm7","https://ap.wps.com/l/cbCaiuzLTrTR9Jm7","pdf",2050576,"English","# True/False Problems (Student Work)\n## Problems 1-13\n# Answer Key\n## Corrections and Explanations","[{\"question\":\"What should students do if their answer is marked False?\",\"answer\":\"Write the correct value and explain the mistake in one sentence.\"},{\"question\":\"What topics do the problems practice?\",\"answer\":\"They practice order of operations with addition, subtraction, multiplication, division, and parentheses.\"},{\"question\":\"How does the answer key explain the correct method?\",\"answer\":\"It gives brief explanations showing the proper sequence, including parentheses first and left-to-right for ÷ and ×, or proper order for + and −.\"}]","True or False? Order of Operations - Error Analysis | PDF",1790138405]