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Decimal Place Value Modeling

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Decimal Place Value Modeling worksheet preview

Decimal Place Value Modeling

Decimal place value blocks illustration

📊 Part 1: Understanding Decimal Place Values

1. What is the value of the digit 7 in the number 2.375?

7 ones

7 tenths

7 hundredths

7 thousandths

2. Which decimal number represents 3 ones, 4 tenths, 0 hundredths, and 6 thousandths?

3.046

3.406

34.06

3.460

3. Fill in the missing place value: In the number 5.238, the digit 3 is in the _____________ place.
4. Complete this statement: One thousandth is _____ times smaller than one hundredth.

📏 Part 2: Comparing and Ordering Decimals

5. Order these decimal numbers from smallest to largest:

1.708, 1.78, 1.087, 1.8

Smallest: _______ → _______ → _______ → _______ :Largest

6. Circle the larger decimal in each pair:

a) 2.456 or 2.465

b) 0.309 or 0.39

c) 1.602 or 1.062

7. A baby echidna weighs 1.708 kg and a baby platypus weighs 1.78 kg. Which animal weighs more? Explain your reasoning.

🎯 Part 3: Number Line Placement and Mental Computation

8. Draw a number line from 2.3 to 2.4 and mark where 2.335 would be placed. Explain why you placed it there.
9. Rename these decimals to help with mental computation:

a) 0.6 = _____ tenths = _____ hundredths

b) 0.05 = _____ hundredths = _____ thousandths

10. Use your knowledge of place value to solve: 0.6 ÷ 10 = _______

Show your thinking:

11. Create your own decimal number greater than 1 with three decimal places, then explain where it would fit between two whole numbers on a number line.

My decimal: _______

It fits between _____ and _____ because:

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