Powers of Ten - Worksheet 8 - 5th Grade

Hard

Practice powers of ten using explicit place-value reasoning.

hard: Use another set to practice explaining and checking your answers.

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

About This Worksheet

This hard-level worksheet contains 23 problems designed for 5th Grade students practicing powers of ten. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Recognize digits and read a place-value chart.

  • Practice powers of ten using explicit place-value reasoning.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: Calculate 295 × 10^1.
Solution Steps:
  1. A power of ten shifts each digit by that many place-value positions.
Answer: 2950
Tip: Check your result using the method in the example before moving to the next question.
1
Calculate 297 × 10^3.
2
Calculate 792 ÷ 10^3.
3
Calculate 427 × 10^1.
4
Calculate 833 ÷ 10^1.
5
Calculate 772 × 10^3.
6
Calculate 762 ÷ 10^3.
7
Calculate 778 × 10^3.
8
Calculate 44 ÷ 10^1.
9
Calculate 171 × 10^1.
10
Calculate 165 ÷ 10^3.
11
Calculate 72 × 10^1.
12
Calculate 271 ÷ 10^2.
13
Calculate 677 × 10^1.
14
Calculate 381 ÷ 10^3.
15
Calculate 484 × 10^2.
16
Calculate 145 ÷ 10^3.
17
Calculate 98 × 10^2.
18
Calculate 179 ÷ 10^3.
19
Calculate 589 × 10^2.
20
Calculate 957 ÷ 10^2.
21
Calculate 420 × 10^2.
22
Calculate 270 ÷ 10^2.
23
Calculate 925 × 10^1.

Answer Key

1. 2970002. 0.7923. 42704. 83.35. 7720006. 0.7627. 7780008. 4.49. 171010. 0.16511. 72012. 2.7113. 677014. 0.38115. 4840016. 0.14517. 980018. 0.17919. 5890020. 9.5721. 4200022. 2.723. 9250

Frequently Asked Questions

How do I download this powers of ten - worksheet 8 worksheet?

Click "Download PDF" for a file, or "Print" to use your browser. 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 23 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.