10 questions
3rd - 3rd Grade
Mathematics
3.2A Compose and Decompose Numbers is a Grade 3 mathematics worksheet that builds place-value fluency through 10 varied items: eight multiple-choice questions, one fill-in-the-blank item, and one multiple-select question. Students represent numbers in standard, expanded, word, and pictorial forms; identify the value and spoken place of a digit; solve a two-digit number riddle from place-value clues; and determine which representations are not equivalent. The worksheet includes examples with numbers such as 112, 832, 4,083, 12,550, and 23,067, requiring students to decompose numbers into thousands, hundreds, tens, and ones and compose equivalent forms. It is useful for independent practice, small-group review, or a quick formative assessment of Grade 3 number representation skills. This is a free printable worksheet with a complete answer key, and it is also available as a digital quiz on Wayground.
Worksheet settings
Font size
WorksheetsAnswer Key27,000 + 3,000
4,000 + 80 + 3
10,000 + 200 + 50 + 5
600
19,278
Eight hundreds + thirty-two tens
344
23, 067
, c)Twenty-three thousand, sixty-seven
, d)(2 x 10,000) + (3 x 1,00) + (6 x 10) + (7 x 1)
This Grade 3 worksheet practices composing and decomposing whole numbers through expanded notation, word form, standard form, pictorial models, and place-value expressions. Its 10 items—eight multiple choice, one fill-in-the-blank number riddle, and one multiple-select question—ask students to identify equivalent and non-equivalent representations, determine a digit’s value, and use tens and ones clues to find a number.
Introduce one number at a time by having students build it with place-value blocks, write its standard and expanded forms, and explain why the forms are equivalent. Then use the worksheet’s “does not have the same value” items and pictorial-model questions for guided discussion, asking students to locate the place value that makes an option incorrect. Finish with the secret-number fill-in item and the multiple-select question so students apply the same reasoning independently.
Students may confuse a digit with its value, such as choosing 6 instead of 600 when the digit 6 is in the hundreds place. They may also treat a non-equivalent decomposition as correct, misread pictorial hundreds, tens, and ones, or select only one answer in the multiple-select item. In the number riddle, check that students use both clues—5 in the ones place and a tens digit three less—to form 25.
On Wayground, you can assign this worksheet as a printable PDF or as a digital quiz, with a complete answer key included for all 10 items. Printable submissions can be graded by scanning student work with the Wayground for Teachers app. The PDF option also supports schools that want to reduce screen time while students practice place-value representations.
Use the worksheet’s Advanced Settings to adjust font spacing and font size so the place-value expressions, answer choices, and pictorial-model items are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when appropriate. These file-level options preserve the worksheet’s focus on composing and decomposing whole numbers while changing its presentation.
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. Teachers can browse more resources at https://wayground.com/en-us/worksheets.
