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Decimal Practice Worksheet

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Advanced Decimal Practice Worksheet

Decimal numbers and money illustration

🔢 Part 1: Reading and Writing Complex Decimals

1. Write these decimals in expanded form:

a) 4.375 = 4 + _____ + _____ + _____

b) 2.608 = _____ + _____ + _____ + _____

c) 15.247 = _____ + _____ + _____ + _____ + _____

2. Circle the correct way to read 0.247:

two hundred forty-seven thousandths

two point four seven

twenty-four and seven tenths

3. Write these decimals in number form:

a) Six and forty-three hundredths = _______

b) Nine hundred five thousandths = _______

c) Twelve and seven thousandths = _______

d) Three hundred twenty-eight thousandths = _______

4. Color code the place values (use RED for tenths, BLUE for hundredths, GREEN for thousandths):

a) 5.384 b) 0.729 c) 7.056 d) 12.493

5. Complete the place value chart:

In 8.459:

The digit in the tenths place is _____

The digit in the hundredths place is _____

The digit in the thousandths place is _____

6. Write the value of the underlined digit:

a) 3.472 = _____ b) 0.085 = _____ c) 12.306 = _____

📊 Part 2: Ordering and Comparing Complex Decimals

7. Order these decimals from least to greatest:

0.47, 0.407, 0.4, 0.074, 0.447

_____ < _____ < _____ < _____ < _____

8. Order these decimals from greatest to least:

3.8, 3.08, 3.800, 3.088, 3.808

_____ > _____ > _____ > _____ > _____

9. Circle the greater decimal in each pair:

a) 0.56 or 0.560 b) 2.3 or 2.29 c) 0.805 or 0.85 d) 1.099 or 1.1

10. Fill in the missing decimals on the number line:

2.1 _____ 2.3 _____ 2.5 _____ 2.7 _____ 2.9

11. Use >, <, or = to compare:

a) 0.6 _____ 0.600 b) 1.45 _____ 1.5 c) 0.309 _____ 0.39 d) 2.050 _____ 2.05

12. Advanced ordering challenge - Order from smallest to largest:

0.5, 0.05, 0.505, 0.055, 0.5005

_____ < _____ < _____ < _____ < _____

🔄 Part 3: Converting Decimals to Fractions

13. Convert these decimals to fractions (simplify if possible):

a) 0.3 = _____ b) 0.75 = _____ c) 0.125 = _____ d) 0.375 = _____

14. Convert these challenging decimals to fractions:

a) 0.08 = _____ b) 0.625 = _____ c) 0.6 = _____ d) 0.875 = _____

15. Match the decimal to its equivalent fraction:

0.4 _____ a) 3/4

0.75 _____ b) 2/5

0.25 _____ c) 1/4

0.5 _____ d) 1/2

0.2 _____ e) 1/5

16. Circle all decimals that equal 1/2:

0.5

0.50

0.500

0.05

17. Convert mixed numbers with decimals to improper fractions:

a) 2.5 = _____ b) 1.25 = _____ c) 3.75 = _____

💰 Part 4: Advanced Money Problems

18. Write these amounts as decimals:

a) 3 dollars, 4 dimes, 7 pennies = $_____

b) 8 dollars, 0 dimes, 9 pennies = $_____

c) 12 dollars, 3 dimes, 0 pennies = $_____

d) 25 dollars, 6 dimes, 3 pennies = $_____

19. Order these prices from most expensive to least expensive:

$4.50, $4.05, $4.500, $4.055, $4.505

Most: _____ _____ _____ _____ _____ :Least

20. Round these prices to the nearest dollar:

a) $7.38 ≈ $_____ b) $12.67 ≈ $_____ c) $5.50 ≈ $_____ d) $23.49 ≈ $_____

21. Round these prices to the nearest dime (tenth):

a) $3.47 ≈ $_____ b) $8.93 ≈ $_____ c) $2.25 ≈ $_____ d) $15.84 ≈ $_____

🧮 Part 5: Problem Solving with Decimals

22. Complete the pattern:

a) 0.1, 0.3, 0.5, _____, _____

b) 1.25, 1.5, 1.75, _____, _____

c) 0.08, 0.16, 0.24, _____, _____

d) 0.125, 0.25, 0.375, _____, _____

23. Find the decimal that comes between:

a) 0.3 < _____ < 0.4

b) 2.7 < _____ < 2.8

c) 0.45 < _____ < 0.46

d) 1.234 < _____ < 1.235

24. Circle the decimals that round to 3.5:

3.47

3.53

3.49

3.54

3.451

25. Write three different decimals that are equivalent to 0.7:

_____ = _____ = _____ = 0.7

26. Advanced comparison - Circle the smallest decimal:

0.099, 0.1, 0.009, 0.09, 0.0099

27. Create your own decimal word problems:

Problem 1: Write a problem using 4.375

_________________________________

Answer: _____________

28. Challenge: Decimal place value puzzle

I am a 3-digit decimal. My tenths digit is 5, my hundredths digit is half of my tenths digit, and my thousandths digit is double my hundredths digit. What decimal am I? _____

29. Advanced rounding challenge:

Round 4.5678 to the nearest:

a) whole number: _____ b) tenth: _____ c) hundredth: _____

30. Multi-step problem:

Sarah has $12.75. She buys a book for $8.50 and a pen for $2.25. How much money does she have left? Show your work using decimals.

Work: _________________________________

Answer: $_____________

🎯 Advanced Strategies:

  • Line up decimal points when comparing
  • Add zeros to help compare (0.5 = 0.500)
  • Use RED for tenths, BLUE for hundredths, GREEN for thousandths
  • Think about place value when reading decimals
  • Remember: more decimal places doesn't always mean larger numbers
  • When converting to fractions, use the place value as the denominator

🌟 Advanced Skills Mastered:

  • Read and write decimals to thousandths
  • Compare and order complex decimals with multiple place values
  • Convert decimals to equivalent fractions and mixed numbers
  • Understand decimal place value relationships
  • Solve multi-step decimal problems with money
  • Apply rounding strategies to various decimal places
  • Recognize patterns in decimal sequences

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