Students correct three expression translation errors — wrong parenthesis placement and operation mismatches. Part B has four expression-writing problems from word phrases. Part C has two questions writing and explaining expressions for adding-then-dividing and multiplying-then-subtracting.
Correcting expression translation errors — where parentheses are placed around the wrong numbers — establishes the core rule that parentheses group the first operation, not the first numbers.
Style:
Numerical Expressions
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
(8 + 7) × 4 means add 8 and 4, then multiply by 7
Rewrite: (8 + 7) × 4 means add 8 and 7, then multiply by 4
2. Fix the sentence:
Subtract 3 from 10, then multiply by 5 is written as 10 − 3 + 5
Rewrite: Subtract 3 from 10, then multiply by 5 is written as (10 − 3) × 5
3. Fix the sentence:
Divide 20 by 4, then add 6 is written as 20 ÷ (4 + 6)
Rewrite: Divide 20 by 4, then add 6 is written as (20 ÷ 4) + 6
Part B: Fill in the Blank
Write the missing word or number on each line.
1. Add 9 and 3, then multiply by 2 is written as (9 + 3) × 2.
2. Subtract 5 from 12, then divide by 7 is written as (12 − 5) ÷ 7.
3. Multiply 6 by 4, then add 10 is written as (6 × 4) + 10.
4. Divide 18 by 3, then subtract 2 is written as (18 ÷ 3) − 2.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Write a numerical expression for: Add 15 and 5, then divide by 4. Explain what your expression means.
(15 + 5) ÷ 4. This means you first find the sum of 15 and 5, which is 20, then divide that sum by 4.
2. Write a numerical expression for: Multiply 7 by 3, then subtract 8. Explain what it represents.
(7 × 3) − 8. This means you first find the product of 7 and 3, which is 21, then subtract 8 from that product.
Numerical Expressions
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
(8 + 7) × 4 means add 8 and 4, then multiply by 7
Rewrite: (8 + 7) × 4 means add 8 and 7, then multiply by 4
2) Fix the sentence:
Subtract 3 from 10, then multiply by 5 is written as 10 − 3 + 5
Rewrite: Subtract 3 from 10, then multiply by 5 is written as (10 − 3) × 5
3) Fix the sentence:
Divide 20 by 4, then add 6 is written as 20 ÷ (4 + 6)
Rewrite: Divide 20 by 4, then add 6 is written as (20 ÷ 4) + 6
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) Add 9 and 3, then multiply by 2 is written as (9 + 3) × 2.
2) Subtract 5 from 12, then divide by 7 is written as (12 − 5) ÷ 7.
3) Multiply 6 by 4, then add 10 is written as (6 × 4) + 10.
4) Divide 18 by 3, then subtract 2 is written as (18 ÷ 3) − 2.
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) Write a numerical expression for: Add 15 and 5, then divide by 4. Explain what your expression means.
(15 + 5) ÷ 4. This means you first find the sum of 15 and 5, which is 20, then divide that sum by 4.
2) Write a numerical expression for: Multiply 7 by 3, then subtract 8. Explain what it represents.
(7 × 3) − 8. This means you first find the product of 7 and 3, which is 21, then subtract 8 from that product.
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9 Questions
15-20 minutes
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