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Cogito

Grade 5 Math · Chapter 4 · Lesson 3

Practice Worksheet

When Multiplying Makes Things Smaller

A rule that has finally run out.

10 problems · about 16 minutes · 5.NBT.B.7, 5.NF.B.5

NameDate

Figure — use these to answer the problems

Set a factor under 1 and watch the bar get shorter.
Before: 8
After: 4
1/2 × 8 = 4
Starting number8
Factor top number1
Factor bottom number2
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Multiplying a Decimal by a Whole Number”

    9 × 0.3, in tenths?

    Answer

  2. From “Multiplying by Powers of Ten”

    0.08 × 100 = ?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. What is 0.25 × 40?

    Answer

  2. What decides whether multiplying grows or shrinks a number?

    • Whether the factor is more or less than 1.
    • How big the starting number is.

  3. Will 0.3 × 40 be bigger or smaller than 40?

    • Smaller.
    • Bigger.

  4. Will 1.5 × 40 be bigger or smaller than 40?

    • Bigger.
    • Smaller.

Build It Up

The same ideas with more to keep track of.

2 problems

  1. What is 0.5 × 30?

    Answer

  2. What is 1 × 30?

    Answer

Stretch Yourself

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

2 problems

  1. Half of It

    What is 0.5 × 12?

    Answer

  2. A Quarter of It

    What is 0.25 × 20?

    Answer