20 questions
5th - 5th Grade
Mathematics
Multiply and Divide by Powers of Ten is a Grade 5 math worksheet that builds fluency with multiplying and dividing whole numbers and decimals by 10, 100, and powers of 10. Students use place-value reasoning to determine how digits and decimal points change, solve expressions such as 73.32 × 100 and 87.5 ÷ 10², and identify numbers that are 10 times as large. The set includes 20 questions: 19 multiple-choice items and one fill-in-the-blank problem. This worksheet gives students repeated practice interpreting powers of ten, selecting the correct result from closely related choices, and applying the operation in both decimal and whole-number contexts. It is useful for independent practice, lesson reinforcement, homework, or a quick formative check after introducing place-value shifts. The worksheet is available as a free printable worksheet with an answer key, helping teachers review whether students understand the difference between multiplying and dividing by powers of ten.
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This Grade 5 worksheet focuses on multiplying and dividing whole numbers and decimals by 10, 100, and powers such as 10² and 10³. Its 20 items—19 multiple-choice questions and one fill-in-the-blank problem—ask students to use place-value shifts to solve expressions such as 73.32 × 100, 456 ÷ 10², and 87.5 ÷ 10².
Introduce the worksheet by modeling how multiplying by 10, 100, or 10³ moves digits to greater place values, while division moves them to smaller place values. Then have students explain the place-value change behind selected multiple-choice answers, especially items involving decimals, before completing the remaining questions independently. Use the fill-in-the-blank item as a short check that students can produce the quotient without answer choices.
Students may move the decimal in the wrong direction, treat division like multiplication, or shift only one place when the expression uses 10² or 10³. They may also confuse a number that is 10 times as much with one that is 10 times smaller, or overlook zeros when multiplying whole numbers. Review the operation and exponent before asking students to compare the selected answer with the original number.
You can assign Multiply and Divide by Powers of Ten as a printable PDF or as a digital quiz on Wayground. It includes a complete answer key for checking all 20 items, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format also supports schools that want to reduce screen time.
Use the worksheet’s Advanced Settings to adjust font spacing or font size so the decimal expressions and answer choices are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when appropriate. These changes can make the powers-of-ten equations and multiple-choice options more accessible without changing the practice skill.
Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.