Compose and Decompose Numbers in Thousands - Part A - Decompose the Number

Sep 23, 2026

Uploaded by Finn

Worksheet on composing and decomposing multi-digit numbers in the thousands. Part A requires writing each given number in expanded form and identifying the thousands, hundreds, tens, and ones. Part B asks students to convert numbers between standard form and word form based on thousands/hundreds/tens/ones values. Part C practices two different decompositions of the same number, then includes a word problem about collecting gym shoes with a total and two valid decompositions using place value.

LanguageEnglish

CategoryExam

FormatPDF

Pages5

Reading Time13 min

AccessFree to download

Part A – Decompose the Number

Part B – Compose the Number

Part C – Different Ways to Decompose the Same Number

Challenge – Gym Shoe Drive

Name: _________________________________________ Compose and Decompose Numbers in Thousands Part A – Decompose the Number Write each number in expanded form and show the thousands, hundreds, tens, and ones. 1. 3,482 o Expanded form: o 3,482 = thousands, hundreds, tens, ones 2. 7,016 o Expanded form: o 7,016 = thousands, hundreds, tens, ones 3. 2,309 o Expanded form: o 2,309 = thousands, hundreds, tens, ones 4. 9,054 o Expanded form: o 9,054 = thousands, hundreds, tens, ones Part B – Compose the Number Write each number in standard form and word form. 5. 4 thousands, 5 hundreds, 2 tens, 3 ones o Standard form: o Word form: 6. 8 thousands, 0 hundreds, 7 tens, 9 ones o Standard form: o Word form: Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) 1 7. 6 thousands, 3 hundreds, 0 tens, 5 ones o Standard form: o Word form: 8. 1 thousand, 9 hundreds, 4 tens, 0 ones o Standard form: o Word form: Part C – Different Ways to Decompose the Same Number Write two different ways to decompose each number. (Use thousands, hundreds, tens, and ones in each way. ) Example: 3,420 Way 1: 3,000 + 400 + 20 + 0 Way 2: 2,000 + 1,400 + 20 + 0 9. 5,230 • Way 1: • Way 2: 10. 7,805 • Way 1: • Way 2: 11. 4,090 • Way 1: • Way 2: Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) 2 12. 9,361 • Way 1: • Way 2: 13. Challenge – Gym Shoe Drive Lincoln Elementary is collecting gym shoes to donate. • On Monday, they collect 2,000 pairs. • On Tuesday, they collect 1,300 more pairs. • On Wednesday, they collect 245 more pairs. a) How many pairs of shoes do they have in all? Total pairs: b) Decompose your total in two different ways: • Way 1 (thousands + hundreds + tens + ones): • Way 2 (a different breakdown using thousands, hundreds, tens, and ones): Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) ANSWER KEY Part A – Decompose the Number 1. 3,482 o Expanded form: 3,000 + 400 + 80 + 2 o 3,482 = 3 thousands, 4 hundreds, 8 tens, 2 ones 2. 7,016 o Expanded form: 7,000 + 10 + 6 o 7,016 = 7 thousands, 0 hundreds, 1 ten, 6 ones 3. 2,309 o Expanded form: 2,000 + 300 + 9 o 2,309 = 2 thousands, 3 hundreds, 0 tens, 9 ones 4. 9,054 o Expanded form: 9,000 + 50 + 4 o 9,054 = 9 thousands, 0 hundreds, 5 tens, 4 ones Part B – Compose the Number 5. 4 thousands, 5 hundreds, 2 tens, 3 ones o Standard form: 4,523 o Word form: four thousand five hundred twenty-three 6. 8 thousands, 0 hundreds, 7 tens, 9 ones o Standard form: 8,079 o Word form: eight thousand seventy-nine 7. 6 thousands, 3 hundreds, 0 tens, 5 ones o Standard form: 6,305 o Word form: six thousand three hundred five 8. 1 thousand, 9 hundreds, 4 tens, 0 ones o Standard form: 1,940 o Word form: one thousand nine hundred forty Part C – Different Ways to Decompose the Same Number (Sample answers – many other correct decompositions are possible.) 9. 5,230 o Way 1: 5,000 + 200 + 30 + 0 o Way 2: 4,000 + 1,200 + 30 + 0 10. 7,805 o Way 1: 7,000 + 800 + 5 o Way 2: 6,000 + 1,800 + 5 11. 4,090 o Way 1: 4,000 + 90 o Way 2: 3,000 + 1,000 + 90 + 0 12. 9,361 o Way 1: 9,000 + 300 + 60 + 1 o Way 2: 8,000 + 1,300 + 60 + 1 Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get Mor

FAQs

What does Part A ask you to do with each number?

Write each number in expanded form and show how many thousands, hundreds, tens, and ones it has.

How do you complete Part B for each item?

Use the given thousands, hundreds, tens, and ones to write the number in standard form and in word form.

What is required in Part C?

For each number, write two different decompositions using thousands, hundreds, tens, and ones that both represent the same value.

Sep 23, 2026

Uploaded by Finn