Created by Kristina Kuhl
9 questions
5th Grade
Math
Updated May 2025
Designed for Grade 5 mathematics, this worksheet helps students use the distributive property to represent multidigit multiplication as equivalent sums of place-value products. Students identify and construct decompositions such as 432 × 65 = (400 × 65) + (30 × 65) + (2 × 65), split factors such as 506 × 54 into tens and ones, and recombine expanded expressions into equivalent multiplication equations. The nine-item practice set uses four multiple-choice questions, one dropdown, two drag-and-drop items, and two fill-in-the-blank questions. These varied formats ask students to recognize correct expressions, match expanded factors, and write equivalent equations, providing focused practice with place-value reasoning rather than relying only on a standard multiplication algorithm. This free printable worksheet includes a complete answer key and is suitable for independent practice, guided instruction, or a quick check of understanding.
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WorksheetsAnswer Key(400 x 65) +
(30 x 65) +
(2 x 65)
(900 x 12) +
(80 x 12) +
(7 x 12)
(506 x 50) +
( 506 x 4)
(943 x 20) +
( 943 x 6)
This Grade 5 worksheet covers using the distributive property to rewrite multidigit multiplication as sums of place-value products. Its nine items ask students to select, match, and write equivalent expressions—for example, decomposing 432 × 65 by expanding 432 into 400, 30, and 2 or decomposing 54 into 50 and 4. Completing the multiple-choice, dropdown, drag-and-drop, and fill-in-the-blank tasks builds accuracy in connecting expanded expressions with equivalent multiplication equations.
Begin by modeling one of the worksheet’s decompositions, such as 506 × 54 = (506 × 50) + (506 × 4), and discuss why the 5 represents 50. Then have students explain whether each multiple-choice expression distributes the factor correctly before they complete the dropdown and drag-and-drop items. Use the final fill-in-the-blank questions as a transition from recognizing decompositions to writing equivalent expressions independently.
Watch for students treating a digit as its face value instead of its place value, such as using 5 instead of 50 when decomposing 506 × 54. Students may also distribute only part of a factor, confuse 943 × 20 + 943 × 6 with expressions that change the first factor, or select 74 × 34 instead of 740 × 34 in the matching item. In the fill-in-the-blank questions, check that the expanded terms recombine to the original factor, including 451 × 25.
On Wayground, assign the worksheet as a printable PDF or as a digital quiz containing its four multiple-choice, dropdown, drag-and-drop, and fill-in-the-blank items. A complete answer key is included for checking student work, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format also supports classrooms that are reducing screen time.
Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so the expanded expressions, place-value factors, and drag-and-drop choices are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language, helping students access the expression-matching and fill-in-the-blank tasks without changing the math skill being practiced.
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.