Created by Maria Castro
6 questions
5th Grade
Math
Use Partial Products and the Distributive Property is a Grade 5 mathematics worksheet focused on multiplying using area models, partial products, and the distributive property. Students solve two fill-in-the-blank problems involving 2 × 27 and 9 × 43, then apply area-model reasoning to multiplication word problems involving cages, weekly schedules, and allowances. The worksheet also asks students to identify the correct partial-products expression for 8 × 64, connecting visual models to equations. With four multiple-choice items and two fill-in-the-blank items, it helps teachers check whether students can decompose factors, multiply each part accurately, combine partial products, and use the strategy in real-world situations. This free printable worksheet includes a complete answer key for instruction, independent practice, or assessment.
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WorksheetsAnswer Key108 hamsters
144 days
$175
(8x60) + (8x4)
This Grade 5 worksheet has six items that ask students to multiply with area models and partial products, including 2 × 27, 9 × 43, and the word problems 18 × 6, 4 × 36, and 25 × 7. Students also choose the correct expression for 8 × 64, showing that they can connect decomposed factors to the distributive property.
Begin by modeling one of the fill-in-the-blank problems, such as 9 × 43, by decomposing 43 into 40 and 3 and adding the two partial products. Then have students explain how the area model supports each word-problem solution before completing the multiple-choice items independently. Use the final 8 × 64 expression question to discuss why both parts must be multiplied by 8.
Students may multiply only one part of a decomposed factor, such as using 8 × 60 but omitting 8 × 4 in the 8 × 64 expression. In the area-model word problems, check that they multiply the correct quantities and add the partial products, rather than selecting a distractor based on adding or multiplying only one number.
This worksheet is available on Wayground as a printable PDF and as a digital quiz, and it includes a complete answer key for all six items. You can grade printable submissions by scanning student work with the Wayground for Teachers app, or review responses through the digital version.
In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the area-model prompts, fill-in-the-blank items, and answer choices easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options support access to the multiplication practice.
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