Determining Place and Value of Decimal Numbers from Hundredths to ... - Free Printable

Let's solve each problem step by step. The task is to determine the place and value of each underlined digit in the given decimal numbers.

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1. 98.23

- Underlined digits: 9, 8, 2, 3

Let’s identify the place and value of each:

- 9:
- Place: Tens
- Value: $ 9 \times 10 = 90 $

- 8:
- Place: Ones
- Value: $ 8 \times 1 = 8 $

- 2:
- Place: Tenths (first digit after the decimal)
- Value: $ 2 \times 0.1 = 0.2 $

- 3:
- Place: Hundredths (second digit after the decimal)
- Value: $ 3 \times 0.01 = 0.03 $

✔ So, for 98.23:
- 9 → Tens, 90
- 8 → Ones, 8
- 2 → Tenths, 0.2
- 3 → Hundredths, 0.03

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2. 73.47

- Underlined digits: 7, 3, 4, 7

- 7:
- Place: Tens
- Value: $ 7 \times 10 = 70 $

- 3:
- Place: Ones
- Value: $ 3 \times 1 = 3 $

- 4:
- Place: Tenths
- Value: $ 4 \times 0.1 = 0.4 $

- 7:
- Place: Hundredths
- Value: $ 7 \times 0.01 = 0.07 $

✔ For 73.47:
- 7 → Tens, 70
- 3 → Ones, 3
- 4 → Tenths, 0.4
- 7 → Hundredths, 0.07

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3. 32.15

- Underlined digits: 3, 2, 1, 5

- 3:
- Place: Tens
- Value: $ 3 \times 10 = 30 $

- 2:
- Place: Ones
- Value: $ 2 \times 1 = 2 $

- 1:
- Place: Tenths
- Value: $ 1 \times 0.1 = 0.1 $

- 5:
- Place: Hundredths
- Value: $ 5 \times 0.01 = 0.05 $

✔ For 32.15:
- 3 → Tens, 30
- 2 → Ones, 2
- 1 → Tenths, 0.1
- 5 → Hundredths, 0.05

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4. 21.88

- Underlined digits: 2, 1, 8, 8

- 2:
- Place: Tens
- Value: $ 2 \times 10 = 20 $

- 1:
- Place: Ones
- Value: $ 1 \times 1 = 1 $

- 8 (first after decimal):
- Place: Tenths
- Value: $ 8 \times 0.1 = 0.8 $

- 8 (second after decimal):
- Place: Hundredths
- Value: $ 8 \times 0.01 = 0.08 $

✔ For 21.88:
- 2 → Tens, 20
- 1 → Ones, 1
- 8 → Tenths, 0.8
- 8 → Hundredths, 0.08

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5. 24.29

- Underlined digits: 2, 4, 2, 9

- 2:
- Place: Tens
- Value: $ 2 \times 10 = 20 $

- 4:
- Place: Ones
- Value: $ 4 \times 1 = 4 $

- 2:
- Place: Tenths
- Value: $ 2 \times 0.1 = 0.2 $

- 9:
- Place: Hundredths
- Value: $ 9 \times 0.01 = 0.09 $

✔ For 24.29:
- 2 → Tens, 20
- 4 → Ones, 4
- 2 → Tenths, 0.2
- 9 → Hundredths, 0.09

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✔ Final Answers Summary:

| Number | Digit | Place | Value |
|--------|-------|--------------|---------|
| 1. 98.23 | 9 | Tens | 90 |
| | 8 | Ones | 8 |
| | 2 | Tenths | 0.2 |
| | 3 | Hundredths | 0.03 |
| 2. 73.47 | 7 | Tens | 70 |
| | 3 | Ones | 3 |
| | 4 | Tenths | 0.4 |
| | 7 | Hundredths | 0.07 |
| 3. 32.15 | 3 | Tens | 30 |
| | 2 | Ones | 2 |
| | 1 | Tenths | 0.1 |
| | 5 | Hundredths | 0.05 |
| 4. 21.88 | 2 | Tens | 20 |
| | 1 | Ones | 1 |
| | 8 | Tenths | 0.8 |
| | 8 | Hundredths | 0.08 |
| 5. 24.29 | 2 | Tens | 20 |
| | 4 | Ones | 4 |
| | 2 | Tenths | 0.2 |
| | 9 | Hundredths | 0.09 |

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📌 Explanation:
In a decimal number:
- To the left of the decimal point: places are Ones, Tens, Hundreds, etc.
- To the right of the decimal point: places are Tenths (1/10), Hundredths (1/100), Thousandths (1/1000), etc.

The value of a digit = digit × place value.

For example, in 98.23:
- The digit 2 is in the tenths place → $ 2 \times 0.1 = 0.2 $

This method applies to all the problems above.

Let me know if you'd like this formatted as a worksheet answer key!