Math worksheet for practicing place value by underlining digits in decimal numbers.

Problem Description:

The task involves underlining the digits in specific decimal places for a series of numbers. The decimal places mentioned are:

1. Thousandths place
2. Ones place
3. Hundredths place
4. Tenths place
5. Tens place
6. Ten-thousandths place
7. Thousandths place (repeated)
8. Hundredths place (repeated)
9. Tenths place (repeated)

Each row in the image contains three numbers, and the task is to underline the digit in the specified decimal place for each number.

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Solution Approach:

To solve this problem, we need to identify the position of each digit based on its place value in the decimal system. Here’s how we can approach it step by step:

#### Place Value Recap:
- Thousandths place: Third digit after the decimal point.
- Ones place: First digit before the decimal point.
- Hundredths place: Second digit after the decimal point.
- Tenths place: First digit after the decimal point.
- Tens place: Second digit before the decimal point.
- Ten-thousandths place: Fourth digit after the decimal point.

For each number, we will locate the required digit and underline it.

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Step-by-Step Solution:

#### Row 1: Underline the Digit in the Thousandths Place
- Number 1: 297.218
- Thousandths place: 8
- Underlined: 297.21underline(8)**

- Number 2: 0.672
- Thousandths place: 2
- Underlined: 0.67underline(2)**

- Number 3: 0.803
- Thousandths place: 3
- Underlined: 0.80underline(3)**

#### Row 2: Underline the Digit in the Ones Place
- Number 1: 2.70
- Ones place: 2
- Underlined: underline(2).70

- Number 2: 15.008
- Ones place: 5
- Underlined: 1underline(5).008

- Number 3: 563.21
- Ones place: 3
- Underlined: 56underline(3).21

#### Row 3: Underline the Digit in the Hundredths Place
- Number 1: 197.8
- Hundredths place: 0 (since there is no hundredths digit, it is implicitly 0)
- Underlined: 197.underline(0)8

- Number 2: 82.90
- Hundredths place: 0
- Underlined: 82.9underline(0)

- Number 3: 261.300
- Hundredths place: 0
- Underlined: 261.3underline(0)0

#### Row 4: Underline the Digit in the Tenths Place
- Number 1: 423.54
- Tenths place: 5
- Underlined: 423.underline(5)4

- Number 2: 5.2
- Tenths place: 2
- Underlined: 5.underline(2)

- Number 3: 231.68
- Tenths place: 6
- Underlined: 231.underline(6)8

#### Row 5: Underline the Digit in the Tens Place
- Number 1: 7,009
- Tens place: 0
- Underlined: 7,underline(0)09

- Number 2: 86.400
- Tens place: 8
- Underlined: underline(8)6.400

- Number 3: 271.69
- Tens place: 7
- Underlined: underline(7)71.69

#### Row 6: Underline the Digit in the Ten-Thousandths Place
- Number 1: 762.529
- Ten-thousandths place: 9
- Underlined: 762.529underline(9)**

- Number 2: 12,069.0
- Ten-thousandths place: 0 (since there are no digits beyond the decimal point)
- Underlined: 12,069.0underline(0)**

- Number 3: 3.002
- Ten-thousandths place: 0 (since there are only three decimal places)
- Underlined: 3.002underline(0)**

#### Row 7: Underline the Digit in the Thousandths Place (Repeated)
- Number 1: 867.215
- Thousandths place: 5
- Underlined: 867.21underline(5)**

- Number 2: 0.674
- Thousandths place: 4
- Underlined: 0.67underline(4)**

- Number 3: 93.023
- Thousandths place: 3
- Underlined: 93.02underline(3)**

#### Row 8: Underline the Digit in the Hundredths Place (Repeated)
- Number 1: 5.029
- Hundredths place: 2
- Underlined: 5.0underline(2)**9

- Number 2: 67.208
- Hundredths place: 0
- Underlined: 67.2underline(0)**8

- Number 3: 132.057
- Hundredths place: 5
- Underlined: 132.0underline(5)**7

#### Row 9: Underline the Digit in the Tenths Place (Repeated)
- Number 1: 35.2
- Tenths place: 2
- Underlined: 35.underline(2)

- Number 2: 8.0
- Tenths place: 0
- Underlined: 8.underline(0)

- Number 3: 123.571
- Tenths place: 5
- Underlined: 123.underline(5)71

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Final Answer:

The underlined digits for each row are as follows:

1. 297.21underline(8), 0.67underline(2), 0.80underline(3)**
2. underline(2).70, 1underline(5).008, 56underline(3).21
3. 197.underline(0)8, 82.9underline(0), 261.3underline(0)0
4. 423.underline(5)4, 5.underline(2), 231.underline(6)8
5. 7,underline(0)09, underline(8)6.400, underline(7)71.69
6. 762.529underline(9), 12,069.0underline(0), 3.002underline(0)**
7. 867.21underline(5), 0.67underline(4), 93.02underline(3)**
8. 5.0underline(2)9, 67.2underline(0)8, 132.0underline(5)**7
9. 35.underline(2), 8.underline(0), 123.underline(5)71

$$
\boxed{\text{See the underlined digits above.}}
$$