MathsFreePrintable
Place Value Powers 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.
Name:Date:
Place Value Powers Ten
Use powers of 10 to describe place value. Show your working for calculation questions.
Powers of 10 and expanded form
1.Match each power of 10 with its value.
- 10²
- 10⁻¹
- 10⁴
- 10⁻³
- 10⁰
- 10³
- 0.1
- 0.001
- 10,000
- 100
- 1
- 1,000
2.Write 6,309 as a sum of its digits multiplied by powers of 10. Include zero-value place terms.
3.Write 52,084 as a sum of its digits multiplied by powers of 10. Include zero-value place terms.
4.Express 8.34 as a sum of its digits multiplied by powers of 10.
5.Express 0.706 as a sum of its digits multiplied by powers of 10. Include the zero-value place term.
6.What place value does 10⁻² represent?
- Tenths
- Hundredths
- Thousands
- Ten-thousands
Compare and order
7.Place these numbers in order from smallest to largest: 63,208; 36,820; 62,380; 38,260.
8.Choose the correct symbol to make this statement true: 0.638 __ 0.68.
- <
- =
- >
9.Choose the correct symbol to make this statement true: 0.407 __ 0.4.
- <
- =
- >
10.Choose the correct symbol to make this statement true: 0.92 __ 0.902.
- <
- =
- >
11.Which place value is represented by 10⁻⁴?
- Tenths
- Hundredths
- Thousandths
- Ten-thousandths
Use place value powers
12.A library has 4 × 10⁴ books in its collection and buys another 2 × 10³ books. How many books does it have altogether?
13.A hiking track is 7.26 × 10² metres long. Write its length in standard form.
14.Write 0.0009 as a product of a number and a power of 10, using a number between 1 and 10.
15.In your own words, explain why 10³ is greater than 10⁻³. Refer to their values.
16.Expand 381,406 as a sum of its digits multiplied by powers of 10. Include terms for zero-valued places.
3 printable pages
Page 1
Page 2
Page 3
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
