Section 1
Predicting Product Size Using a Scaling Factor
Property
When a number is multiplied by a fractional scaling factor :
- If , the product is smaller than . ()
- If , the product is equal to . ()
- If , the product is larger than . ()
In this Grade 5 Eureka Math lesson from Chapter 24, students learn to compare the size of a product to the size of its factors when multiplying by fractions, exploring how multiplying by a fraction less than 1, equal to 1, or greater than 1 affects the result. Using concrete examples like multiplying 12 inches by fractions such as 1/4, 3/4, and 5/4, students discover that a factor less than 1 shrinks the product, a factor equal to 1 leaves it unchanged, and a factor greater than 1 enlarges it. Fluency practice with unit conversions and multiplying fractions by whole numbers reinforces the skills needed to reason about scaling with fractions and decimals.
Section 1
Predicting Product Size Using a Scaling Factor
When a number is multiplied by a fractional scaling factor :
Section 2
Applying Scaling to Real-World Measurements
To find a new, scaled measurement, multiply the original measurement by the scaling factor.
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Section 1
Predicting Product Size Using a Scaling Factor
When a number is multiplied by a fractional scaling factor :
Section 2
Applying Scaling to Real-World Measurements
To find a new, scaled measurement, multiply the original measurement by the scaling factor.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter