MathsFreePrintable

Decimals and Powers of Ten

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Decimals and Powers of Ten worksheet preview
Name:Date:

Decimals and Powers of Ten

Solve each question. Show your working for the real-world problems. Remember: multiplying or dividing by a power of 10 changes the place value of every digit.

A place-value mission

Use this place-value chart to track how the digits in 36.42 change when the number is multiplied or divided by powers of ten.

Hundreds

Tens

Ones

Decimal point

Tenths

Hundredths

Thousandths

3

6

.

4

2

1.In the chart, the 3 in 36.42 is in which place? What is its value?
2.A weather station records 7.306 mm of rain in one interval. Calculate 7.306 × 10, 7.306 × 100, and 7.306 × 1,000.
3.A water tank contains 4,825 litres. Work out 4,825 ÷ 10, 4,825 ÷ 100, and 4,825 ÷ 1,000.
4.Choose the correct result for 0.084 × 100. A) 0.0084 B) 0.84 C) 8.4 D) 84
  • A) 0.0084
  • B) 0.84
  • C) 8.4
  • D) 84
5.True or false? Dividing 5.7 by 100 makes the result 100 times smaller.
TrueFalse

Decimal delivery challenge

A courier is checking distances and parcel weights. Use powers of ten to convert each amount.

6.A walking track is 2.45 km long. Convert the distance to metres by multiplying by 1,000.
7.A parcel has a mass of 3,650 g. Convert its mass to kilograms by dividing by 1,000.
8.Complete the pattern: 0.63 → 6.3 → → 630. What operation is applied at each arrow?
9.Plot 0.4, 0.04, and 0.004 on the number line, then write them in order from least to greatest.
00.10.20.30.40.5
10.A number becomes 58.2 after being multiplied by 1,000. What was the original number? Explain how you know.

2 printable pages

  • Decimals and Powers of Ten, page 1 of 2: A place-value mission

    Page 1

  • Decimals and Powers of Ten, page 2 of 2: Decimal delivery challenge

    Page 2

About This Worksheet

Free in Kuraplan

Sign up free, grab the PDF, and customize it for your class.

Print-Ready

Formatted for standard paper. Clean layout, easy to read.

AI-Generated

Created with Kuraplan's AI, designed for real classroom use.

For Teachers & Parents

Use in classrooms, for homework, tutoring, or homeschool.

Need a custom version of this worksheet?

Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.

Generate Custom Worksheets — Free
No credit card Curriculum-aligned Under 60 seconds