Students correct three order-of-operations errors where left-to-right evaluation gives wrong answers. Part B has four questions about PEMDAS terminology and evaluating basic multi-operation expressions. Part C has two questions explaining why 5 + 2 × 6 equals 17 and naming all PEMDAS terms.
Correcting left-to-right evaluation errors directly confronts the most common PEMDAS mistake and establishes that multiplication must always precede addition before any other rules are applied.
Style:
Order of Operations (PEMDAS)
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
3 + 4 × 2 = 14
Rewrite: 3 + 4 × 2 = 11
2. Fix the sentence:
10 - 2 × 3 = 24
Rewrite: 10 - 2 × 3 = 4
3. Fix the sentence:
8 + 12 ÷ 4 = 5
Rewrite: 8 + 12 ÷ 4 = 11
Part B: Fill in the Blank
Write the missing word or number on each line.
1. In PEMDAS, the P stands for Parentheses.
2. 6 + 3 × 5 = 21.
3. 20 - 8 ÷ 2 = 16.
4. 7 × 2 + 3 = 17.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Explain why 5 + 2 × 6 equals 17, not 42.
You must multiply before adding. 2 × 6 = 12, then 5 + 12 = 17. Adding first gives the wrong answer.
2. What does PEMDAS stand for? List each word.
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Order of Operations (PEMDAS)
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
3 + 4 × 2 = 14
Rewrite: 3 + 4 × 2 = 11
2) Fix the sentence:
10 - 2 × 3 = 24
Rewrite: 10 - 2 × 3 = 4
3) Fix the sentence:
8 + 12 ÷ 4 = 5
Rewrite: 8 + 12 ÷ 4 = 11
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) In PEMDAS, the P stands for Parentheses.
2) 6 + 3 × 5 = 21.
3) 20 - 8 ÷ 2 = 16.
4) 7 × 2 + 3 = 17.
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) Explain why 5 + 2 × 6 equals 17, not 42.
You must multiply before adding. 2 × 6 = 12, then 5 + 12 = 17. Adding first gives the wrong answer.
2) What does PEMDAS stand for? List each word.
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Ready to Practice?
Complete each section carefully.
9 Questions
15-20 minutes
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