MathsFreePrintable

Decimal Place Value Representations

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Decimal Place Value Representations worksheet preview

Decimal Place Value Representations

Worksheet illustration

📚 Read, write and identify place value

WALT: We are learning to read and write decimals to thousandths and name the value of each digit.

Success criteria: I can use the words tenths, hundredths and thousandths. I can explain a digit’s value using its place.

1. Write each decimal in words.

a) 0.6 = ________________________________________________

b) 0.25 = _______________________________________________

c) 0.408 = ______________________________________________

2. Write the decimal shown by each description.

a) 3 tenths and 7 hundredths = __________

b) 4 hundredths and 8 thousandths = __________

c) 1 one, 1 tenth, 2 hundredths and 5 thousandths = __________

3. What is the value of the underlined digit?

a) 0.372: The value of 3 is __________

b) 0.372: The value of 7 is __________

c) 0.307: The value of 7 is __________

4. Complete the place-value statements for 0.307.

3 is in the __________________ place.

0 is in the __________________ place.

7 is in the __________________ place.

✏️ Show decimals in different ways

WALT: We are learning to represent tenths, hundredths and thousandths as diagrams and fractions.

Success criteria: I can draw or shade a matching representation. I can write a decimal as a fraction with a denominator of 10, 100 or 1000.

5. Shade or draw a place-value representation of 0.307. Label the tenths, hundredths and thousandths.
6. Complete the fractions.

a) 0.6 = ______ / 10

b) 0.25 = ______ / 100

c) 0.408 = ______ / 1000

7. Write each fraction as a decimal.

a) 7/10 = __________

b) 32/100 = __________

c) 5/1000 = __________

8. Explain why 0.5, 0.50 and 0.500 are equivalent. Use place-value language or a diagram.

🌟 Explain and check your thinking

Support options: Read each question aloud, use a place-value chart, or explain your answer to a partner before writing. You may draw your answer.

Extension: Create another decimal equal to 0.5. Explain how you know it is equivalent.

9. A student says, “The 3 in 0.307 has a value of 3.” Is the student correct? Explain your answer.
10. Exit question: Represent 0.307 as a fraction and explain the value of the 3 and the 7.

About This Worksheet

Free in Kuraplan

Sign up free, grab the PDF, and customize it for your class.

Print-Ready

Formatted for standard paper. Clean layout, easy to read.

AI-Generated

Created with Kuraplan's AI, designed for real classroom use.

For Teachers & Parents

Use in classrooms, for homework, tutoring, or homeschool.

Need a custom version of this worksheet?

Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.

Generate Custom Worksheets — Free
No credit card Curriculum-aligned Under 60 seconds