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Powers of 10

Multiplying and dividing by 10, 100 and 1,000, also written as powers like 10³, and seeing the pattern in how the digits move past the decimal point.

Make a sheetDownload PDFThe PDF has this sheet, its answer key and a guide for grown-ups.

How to help

The number of zeros, or the exponent, tells how many places the digits move. Multiplying moves them left and dividing moves them right. Fill empty places with zeros.

Watch for: Reading 10³ as 10 × 3 = 30 instead of 1,000. Moving the digits the wrong way: 28.4 ÷ 100 is 0.284, not 2,840. Adding zeros to the end of a decimal: 3.95 × 10 is 39.5, not 3.950.

At home: Say a number like 4.5 and a power of ten, and have your child give the answer. Check it on a calculator and look at where the digits moved.

Sample sheet and answer key

Luna's Space Adventure

Grade 5 · Powers of 10 · 5.NBT.A.2

NameDate

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Powers of 10

10³ means 10 × 10 × 10.

10⁴ =10² =10¹ =10⁵ =

Move the point

Multiplying by 10 moves every digit one place left.

93.3 ÷ 1000 =1.02 × 1000 =81.9 ÷ 10 =6.86 × 100 =6.8 ÷ 1000 =1.74 × 1000 =71.7 ÷ 1000 =5.55 × 100 =62.9 ÷ 1000 =

With exponents

The exponent tells you how many places the digits move.

9.25 × 10² =6.12 × 10³ =0.81 × 10³ =2.43 × 10¹ =2.33 × 10¹ =1.63 × 10³ =

Count the zeros

Multiplying by 10ⁿ adds n zeros to a whole number.

7 × 10² =3 × 10² =67 × 10² =97 × 10³ =42 × 10⁴ =75 × 10⁴ =
Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 5NBTA2-SP-FIRST at mathness.app
Sheet

Luna's Space Adventure

Grade 5 · Powers of 10 · 5.NBT.A.2

Answer key

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Powers of 10

10³ means 10 × 10 × 10.

10⁴ =1000010² =10010¹ =1010⁵ =100000

Move the point

Multiplying by 10 moves every digit one place left.

93.3 ÷ 1000 =0.09331.02 × 1000 =102081.9 ÷ 10 =8.196.86 × 100 =6866.8 ÷ 1000 =0.00681.74 × 1000 =174071.7 ÷ 1000 =0.07175.55 × 100 =55562.9 ÷ 1000 =0.0629

With exponents

The exponent tells you how many places the digits move.

9.25 × 10² =9256.12 × 10³ =61200.81 × 10³ =8102.43 × 10¹ =24.32.33 × 10¹ =23.31.63 × 10³ =1630

Count the zeros

Multiplying by 10ⁿ adds n zeros to a whole number.

7 × 10² =7003 × 10² =30067 × 10² =670097 × 10³ =9700042 × 10⁴ =42000075 × 10⁴ =750000
Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 5NBTA2-SP-FIRST at mathness.appAnswer key
Answer key

New problems every time, three levels (gentle, core and stretch), themes to pick from, a second page if you want one. Each sheet comes with an answer key and a one-page guide for grown-ups.

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Standard

Common Core 5.NBT.A.2 · Explain the patterns in zeros and decimal points when multiplying or dividing by powers of 10.

Also: Maryland 2025 5.NOS.A.2 · Texas TEKS 4.4B · Florida B.E.S.T. MA.5.NSO.2.5

Drill sheets for more practice

More grade 5 sheets: place value