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Cogito

Grade 5 Math · Chapter 6 · Lesson 2

Practice Worksheet

Multiplying as Scaling

Decide the size before you multiply.

10 problems · about 16 minutes · 5.NF.B.5

NameDate

Figure — use these to answer the problems

Set the factor above 1, below 1, and exactly 1. Compare the bars.
Before: 15
After: 10
2/3 × 15 = 10
Starting number15
Factor top number2
Factor bottom number3
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “A Fraction of a Fraction”

    3/4 × 2/5. What is the bottom number?

    Answer

  2. From “Line Plots and Fraction Data”

    5 beakers at 2/8 litre. How many eighths in all?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. What is 3/5 × 25?

    Answer

  2. Can you tell if a product is bigger than its factor without multiplying?

    • Yes. Compare the other factor with 1.
    • No.

  3. Is 7/8 × 40 more or less than 40?

    • Less.
    • More.

  4. Is 9/8 × 40 more or less than 40?

    • More.
    • Less.

Build It Up

The same ideas with more to keep track of.

2 problems

  1. What is 6/6 × 30?

    Answer

  2. What is 2/5 × 20?

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

2 problems

  1. Bigger or Smaller?

    Is 5/4 × 12 more or less than 12?

    • More.
    • Less.

  2. The Exact One

    What is 3/4 × 20?

    Answer