20 questions
5th - 5th Grade
Mathematics
Multiply Decimals by Powers of Ten is a free printable Grade 5 mathematics worksheet that helps students evaluate decimal multiplication expressions involving 1, 10, 100, 1,000, 10,000, 0.1, and 0.01. Students work through 20 questions—19 multiple-choice items and one multiple-select item—such as 1.09 × 10³, 7.44 × 1,000, and 86.542 × 0.01. The worksheet gives learners repeated practice recognizing how multiplying by powers of ten changes the value and position of the digits in a decimal. Its varied answer choices help teachers identify errors such as moving the decimal the wrong number of places or changing the number in the wrong direction. It is designed for Grade 5 instruction, independent practice, review, or assessment, and includes a complete answer key for efficient checking.
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WorksheetsAnswer Key1,090
580
6.2
78
45,100
7,440
0.86542
425720
4.651
94301
6.0391
4830
9434
1.934
2.003
5.67 x 10
0.1234 x 102
, c)1234 x 0.01
567.1 x 0.01
8.5
This Grade 5 worksheet develops fluency with multiplying decimals by 1, 10, 100, 1,000, 10,000, 0.1, and 0.01. Across 19 multiple-choice questions and one multiple-select question, students evaluate expressions such as 0.78 × 10² and 46.51 × 0.1, building accuracy with the place-value changes caused by each factor.
Begin by modeling one expression with a whole-number power of ten, such as 5.8 × 100, and have students describe how each digit’s place value changes. Then compare it with a factor less than 1, such as 603.91 × 0.01, asking students to predict whether the product should be greater or less than the original number before selecting an answer. Use the multiple-choice distractors to discuss why moving the decimal the wrong number of places produces an incorrect result.
Students may move the decimal point the wrong number of places, especially when the factor is 1,000 or 0.01, or move it in the wrong direction for factors less than 1. They may also treat multiplying by 1 as changing the number, as shown by the 6.2 × 1 item, or confuse a missing zero with a changed decimal value. Ask students to estimate whether the product should increase, decrease, or stay the same before they choose an option.
Wayground provides this worksheet as both a printable PDF and a digital quiz, with a complete answer key for all 20 questions. You can print copies for individual practice or assign the digital version through Wayground; printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format can also support schools that are reducing screen time.
In the worksheet’s Advanced Settings, adjust font spacing or choose a larger 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 while keeping the multiplication-by-powers-of-ten practice format.
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.