Students fix three interpretation errors — 'times as large' misread as 'more than,' wrong subtraction partner, and distributive property misapplied. Part B has four comparative interpretation problems using 'times as large' and 'one third.' Part C has two questions comparing expressions to their inner sums without calculating.
Correcting multiplicative interpretation errors — distinguishing 'times as large' from 'more than' and applying the distributive property correctly — builds the comparative reasoning used in all Grade 5 expression work.
Style:
Numerical Expressions
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
5 × (20 + 12) is 5 more than 20 + 12
Rewrite: 5 × (20 + 12) is 5 times as large as 20 + 12
2. Fix the sentence:
(30 − 8) ÷ 2 is half the value of 30 + 8
Rewrite: (30 − 8) ÷ 2 is half the value of 30 − 8
3. Fix the sentence:
3 × (14 + 6) has the same value as 3 × 14 + 6
Rewrite: 3 × (14 + 6) has the same value as 3 × 14 + 3 × 6
Part B: Fill in the Blank
Write the missing word or number on each line.
1. Without calculating, 4 × (8 + 5) is 4 times as large as (8 + 5).
2. Without calculating, (36 − 9) ÷ 3 is one third of (36 − 9).
3. Without calculating, 7 × (10 + 2) is 7 times as large as 10 + 2.
4. Without calculating, (45 + 15) ÷ 6 is one sixth of (45 + 15).
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Without calculating either expression, explain how 8 × (14 + 26) compares to (14 + 26).
8 × (14 + 26) is 8 times as large as (14 + 26) because you are multiplying the sum of 14 and 26 by 8.
2. Without calculating, explain the relationship between (50 − 20) and (50 − 20) ÷ 5.
(50 − 20) ÷ 5 is one fifth of (50 − 20) because you are dividing the difference of 50 and 20 by 5.
Numerical Expressions
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
5 × (20 + 12) is 5 more than 20 + 12
Rewrite: 5 × (20 + 12) is 5 times as large as 20 + 12
2) Fix the sentence:
(30 − 8) ÷ 2 is half the value of 30 + 8
Rewrite: (30 − 8) ÷ 2 is half the value of 30 − 8
3) Fix the sentence:
3 × (14 + 6) has the same value as 3 × 14 + 6
Rewrite: 3 × (14 + 6) has the same value as 3 × 14 + 3 × 6
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) Without calculating, 4 × (8 + 5) is 4 times as large as (8 + 5).
2) Without calculating, (36 − 9) ÷ 3 is one third of (36 − 9).
3) Without calculating, 7 × (10 + 2) is 7 times as large as 10 + 2.
4) Without calculating, (45 + 15) ÷ 6 is one sixth of (45 + 15).
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) Without calculating either expression, explain how 8 × (14 + 26) compares to (14 + 26).
8 × (14 + 26) is 8 times as large as (14 + 26) because you are multiplying the sum of 14 and 26 by 8.
2) Without calculating, explain the relationship between (50 − 20) and (50 − 20) ÷ 5.
(50 − 20) ÷ 5 is one fifth of (50 − 20) because you are dividing the difference of 50 and 20 by 5.
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9 Questions
15-20 minutes
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