Powers of Ten - Worksheet 5 - 5th Grade

Medium

Explain patterns when multiplying and dividing by powers of ten (Medium)

18 problems · 15-20 minutes · Skills: place value, multiplication, division

About This Worksheet

This medium-level worksheet contains 18 problems designed for 5th Grade students practicing powers of ten. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

Powers of ten are the structural foundation of our base-ten number system. Understanding how multiplying or dividing by a power of ten shifts every digit one place reveals why the decimal system is so efficient and powerful.

  • Explain patterns when multiplying and dividing decimals by 10, 100, and 1,000
  • Use exponent notation to express powers of ten
  • Apply powers of ten to shift digits left or right in a decimal
  • Connect powers of ten to metric unit conversions
  • Write large and small numbers using powers of ten

How to Solve: Worked Example

Example Problem: Solve the first problem on the worksheet.
Solution Steps:
  1. Read the problem carefully.
  2. Identify what is being asked.
  3. Use what you know to find the answer.
  4. Check your work.
Answer: See the answer key below
Tip: Take your time and read each problem carefully before answering!
1
9 + 2 =
2
6 + 1 =
3
9 + 3 =
4
2 + 10 =
5
5 + 6 =
6
10 + 7 =
7
6 + 9 =
8
10 + 7 =
9
6 + 1 =
10
4 + 1 =
11
8 + 8 =
12
8 + 3 =
13
5 + 1 =
14
8 + 4 =
15
8 + 5 =
16
10 + 7 =
17
5 + 1 =
18
5 + 4 =

Answer Key

1. 112. 73. 124. 125. 116. 177. 158. 179. 710. 511. 1612. 1113. 614. 1215. 1316. 1717. 618. 9

Frequently Asked Questions

How do I download this powers of ten - worksheet 5 worksheet?

Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this place value and decimals worksheet cover?

This worksheet focuses on place value, multiplication, division. It is designed for 5th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 18 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.