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Cogito

Grade 5 Math · Chapter 4 · Lesson 1

Practice Worksheet

Multiplying by Powers of Ten

Every digit shifts one place.

10 problems · about 15 minutes · 5.NBT.A.2, 5.NBT.B.7

NameDate

Figure — use these to answer the problems

Every step left is ten times more.

Hundreds

3

Tens

4

Ones

2

The number342
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Estimating with Decimals”

    Estimate 7.8 + 2.1 to the nearest whole numbers.

    Answer

  2. From “Subtracting Decimals”

    1 − 0.28, in hundredths?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. 0.08 × 100 = ?

    Answer

  2. What happens when you multiply by 10?

    • Every digit moves one place left.
    • You add a zero on the end.

  3. 0.5 × 10 = ?

    Answer

  4. 0.06 × 100 = ?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 70 ÷ 100, in hundredths?

    Answer

  2. 4.2 × 100 = ?

    Answer

Stretch Yourself

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

2 problems

  1. Ten Times

    2.6 × 10, in tenths?

    Answertenths

  2. A Tenth of It

    84 ÷ 10, in tenths?

    Answertenths