Place Value with Decimals Worksheet — Math Practice for 12-Year-Olds

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Instructions

Welcome, decimal detective! Your mission is to solve the puzzles below using your knowledge of place value. Read each section carefully and write your answers in the spaces provided.

Part 1: What's the Value?

For each number below, write the value of the underlined digit. You can write it as a fraction or a decimal.

Number Value of the Underlined Digit
1.   54.821
2.   209.376
3.   7.059
4.   984.13

Part 2: Build the Number

Use the clues to write the mystery number in standard form.

1. This number has:
  • A 7 in the tenths place
  • A 4 in the ones place
  • A 2 in the hundredths place
  • A 9 in the thousandths place
Answer:
2. This number has:
  • A 5 in the tens place
  • A 1 in the hundredths place
  • An 8 in the hundreds place
  • A 3 in the thousandths place
  • A 0 in the ones place and tenths place
Answer:

Part 3: Expanded Form Challenge

Show off your skills by working with expanded form.

1. Write the number 62.819 in expanded form:
2. Write the standard number for this expanded form: 7 + 0.9 + 0.003
Answer:
3. Write the standard number for this expanded form: (4 x 100) + (3 x 1) + (5 x 0.1) + (8 x 0.001)
Answer:

Part 4: Decimal Decisions

Compare the two decimals. Write >, <, or = in the box between them.

0.45
0.54
12.08
12.080
3.16
3.106

Part 5: Place Value Riddle

Read the riddle and solve it to find the mystery number.

I am a number between 25 and 26.

The digit in my tenths place is double the digit in my hundredths place.

The digit in my hundredths place is 4.

What number am I?

Answer:

Answer Key

Part 1: What's the Value?

1.   54.821 0.8 or 8/10 (eight tenths)
2.   209.376 0.006 or 6/1000 (six thousandths)
3.   7.059 0.05 or 5/100 (five hundredths)
4.   984.13 900 (nine hundred)

Part 2: Build the Number

1. Answer: 4.729

2. Answer: 850.013

Part 3: Expanded Form Challenge

1. Answer: 60 + 2 + 0.8 + 0.01 + 0.009

2. Answer: 7.903

3. Answer: 403.508

Part 4: Decimal Decisions

1. 0.45   <   0.54

2. 12.08   =   12.080

3. 3.16   >   3.106

Part 5: Place Value Riddle

Answer: 25.84 (The hundredths digit is 4. The tenths digit is double that, which is 8.)

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