MathsFreePrintable

Year 6 Decimal Place Value

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.

Year 6 Decimal Place Value worksheet preview

Year 6 Decimal Place Value

Worksheet illustration

Part 1: Place Value and Number Sense

Show your working where needed. Remember that each place to the left is 10 times greater.

1. Complete the place-value charts.

Whole number: 4,306,219

Millions: ______    Hundred-thousands: ______    Ten-thousands: ______    Thousands: ______    Hundreds: ______    Tens: ______    Ones: ______

Decimal: 58.407

Tens: ______    Ones: ______    Tenths: ______    Hundredths: ______    Thousandths: ______

2. Write the value of the bold digit in each number.

a) 6.35 = ____________________

b) 42.708 = ____________________

c) 5,281,460 = ____________________

3. Write each number in expanded form.

a) 7.306 = ________________________________________________

b) 4,052.18 = ______________________________________________

4. Insert <, > or =.

a) 3.5 ______ 3.50

b) 0.608 ______ 0.68

c) 12.04 ______ 12.4

5. Order these numbers from smallest to largest: 2.09, 2.9, 2.099, 2.19

__________________________________________________________________

Part 2: Multiplying, Dividing and Applying Place Value

6. Calculate. Use place value to help you.

a) 4.7 × 10 = ________

b) 0.83 × 100 = ________

c) 6,205 ÷ 1,000 = ________

d) 39.6 ÷ 10 = ________

e) 0.407 × 1,000 = ________

f) 8,400 ÷ 100 = ________

7. Aotearoa New Zealand has a walking track that is 3.6 kilometres long. A second track is 10 times longer. How long is the second track?
8. A recipe needs 0.75 kilograms of flour. The flour is divided equally into 100 bags. How many kilograms of flour are in each bag?
9. A toy costs $6.40. The price is divided by 10 in a special sale. What is the sale price? Explain what happened to the digits.
10. Challenge: Find a number between 4.5 and 4.6 that has a 7 in the hundredths place. Write the number and explain how you know it fits.

Answer Key

1. Whole number: Millions 4, hundred-thousands 3, ten-thousands 0, thousands 6, hundreds 2, tens 1, ones 9. Decimal: Tens 5, ones 8, tenths 4, hundredths 0, thousandths 7.

2. a) 0.3   b) 0.7   c) 200,000

3. a) 7 + 0.3 + 0.006   b) 4,000 + 50 + 2 + 0.1 + 0.08

4. a) =   b) <   c) <

5. 2.09, 2.099, 2.19, 2.9

6. a) 47   b) 83   c) 6.205   d) 3.96   e) 407   f) 84

7. 36 kilometres

8. 0.0075 kilograms

9. $0.64. Each digit moves one place to the right when dividing by 10.

10. Possible answers include 4.57, 4.571, or 4.579. The number is greater than 4.5, less than 4.6, and has 7 in the hundredths place.

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