Expanded Form with Decimals - Practice and Answer Key

Sep 23, 2026

Worksheet lesson on writing numbers in expanded form using place value (ones, tenths, hundredths, thousandths) and then converting between expanded form and standard form. Practice items 1–12 focus on decomposing decimals into sums of place-value parts, while Part B converts sums back into standard decimal values for items 13–16. Word problems 17–18 require writing quantities first as a number and then in expanded form, followed by a challenge task constructing a number with specified place-value digits.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Practice (1–12)

Part B — Expanded Form → Standard Form (13–16)

Word Problems (17–18)

Challenge Problem (19)

Answer Key

Name: Expanded Form with DecimalsDirections: Write each number in expanded form.Use place value (ones, tenths, hundredths, thousandths) .The first problem has already been solved for you. Tip: A digit’s value depends on its place. # Practice (1–12) 1. 34.56 = 30 + 4 + 0.5 + 0.06 2. 7.504 = ________________________________________________ 3. 126.01 = 4. 0.345 = 5. 75.3 = 6. 308.204 = ________________________________________________ 7. 7.015 = ________________________________________________ 8. 80.07 = ________________________________________________ 9. 13.150 = 10. 0.709 = ________________________________________________ 11. 66.003 = 12. 503.25 = 1 Mashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com # Part B — Expanded Form → Standard Form (13–16) Directions: Write each number in standard form. 13. 5 + 0.6 + 0.03 = 14. 60 + 4 + 0.08 + 0.001 = 15. 300 + 30 + 0.8 + 0.05 = ____________________ 16. 7 + 0.06 + 0.009 = # Word Problems (17–18) Directions: Write the number, then write it in expanded form. 17. A smoothie shop poured 14.575 liters of smoothie into a container. Expanded form: 18. A hiker walked 11.803 miles on a trail. Expanded form: # Challenge Problem (19) 19. Write a number that has: • 4 hundreds • 0 ones • 6 tenths • 2 hundredths • 8 thousandths My number: Expanded form: 2 Mashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com # Answer Key Part A — Standard Form → Expanded Form (1–12) 1. 34.56 = 30 + 4 + 0.5 + 0.06 2. 7.504 = 7 + 0.5 + 0.004 3. 126.01 = 100 + 20 + 6 + 0.01 4. 0.345 = 0.3 + 0.04 + 0.005 5. 75.3 = 70 + 5 + 0.3 6. 308.204 = 300 + 8 + 0.2 + 0.004 7. 7.015 = 7 + 0.01 + 0.005 8. 80.07 = 80 + 0.07 9. 13.150 = 10 + 3 + 0.1 + 0.05 10. 0.709 = 0.7 + 0.009 11. 66.003 = 60 + 6 + 0.003 12. 503.25 = 500 + 3 + 0.2 + 0.05 # Part B — Expanded Form → Standard Form (13–16) 13. 5 + 0.6 + 0.03 = 5.63 14. 60 + 4 + 0.08 + 0.001 = 64.081 15. 300 + 30 + 0.8 + 0.05 = 330.85 16. 7 + 0.06 + 0.009 = 7.069 # Word Problems (17–18) 17. 14.575 = 10 + 4 + 0.5 + 0.07 + 0.005 18. 11.803 = 10 + 1 + 0.8 + 0.003 Challenge Problem (19) 19. My number: 400.628 Expanded form: 400 + 0.6 + 0.02 + 0.008 3 Mashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com

FAQs

What does expanded form mean for decimals in this worksheet?

Expanded form writes a decimal as a sum of its place-value parts, such as ones, tenths, hundredths, and thousandths.

How do Part B problems differ from Practice (1–12)?

Practice (1–12) asks for expanded form from a given decimal, while Part B (13–16) asks for standard form from an expanded sum.

What is required for the word problems in items 17–18?

Students write the number from the scenario and then express it in expanded form based on place value.

What does the challenge problem ask students to do?

Students construct a number that matches given digit requirements for hundreds, tenths, hundredths, and thousandths, then write it in expanded form.

Sep 23, 2026

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