Comparing Products Without Multiplying
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Comparing Products Without Multiplying
Comparing products worksheet for Grade 5: twelve pairs such as 3/4 × 15 and 5/4 × 15 to compare by their fractions alone, circling <, = or >. With an answer key.
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Teach it first
Multiplication as ScalingA teaching handout to hand out before this sheet: the rule, worked examples and common mistakes.- Pages
- 1
- Last updated
- Time
- About 15 minutes
- Answer key
- Included
- Printing
- Black and white
- Related curriculum
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Tell without multiplying whether a product is bigger or smaller than one factor: times a fraction less than 1 makes it smaller, times a number greater than 1 makes it bigger, times 1 keeps it the same.
Reviewed by Mrs. Catherine Reynolds, Teacher. How we check worksheets
How to use this sheet
- Before working anything out, ask the child whether the product will be bigger or smaller than the first number.
- Use a number line or a bar to show multiplying by a number more than 1, and by a fraction less than 1.
- Have the child explain each answer with the words "more than 1" or "less than 1".
Common mistakes
- Believing that multiplying always makes a number bigger. Multiplying by a number less than 1 makes it smaller.
- Thinking that multiplying by exactly 1 changes the number. It stays the same.
- Working out the product when the question asks only to compare. Look at the factor, not the answer.
