Place and Face Value of Digits worksheet - Free Printable

Problem Explanation:

The task requires us to complete a table by identifying the Place Value and Face Value of the underlined digit in each given number. Let's break down the concepts:

1. Place Value: This refers to the value of a digit based on its position in the number. For example, in the number 284, the digit "8" is in the tens place, so its place value is 80.
2. Face Value: This is the actual value of the digit itself, regardless of its position. For example, the face value of "8" is simply 8.

Given Table:

We are provided with a partially filled table and need to complete it for the following numbers:
- 59
- 28
- 109
- 284
- 687
- 359

Solution Step-by-Step:

#### 1. Number: 59 (Underlined digit: 9)
- Place Value: The digit "9" is in the ones place, so its place value is \( 9 \times 1 = 9 \).
- Face Value: The face value of "9" is simply 9.
- Completed Row:
- Place Value: Ones
- Face Value: 9

#### 2. Number: 28 (Underlined digit: 8)
- Place Value: The digit "8" is in the ones place, so its place value is \( 8 \times 1 = 8 \).
- Face Value: The face value of "8" is simply 8.
- Completed Row:
- Place Value: Ones
- Face Value: 8

#### 3. Number: 109 (Underlined digit: 0)
- Place Value: The digit "0" is in the tens place, so its place value is \( 0 \times 10 = 0 \).
- Face Value: The face value of "0" is simply 0.
- Completed Row:
- Place Value: Tens
- Face Value: 0

#### 4. Number: 284 (Underlined digit: 8)
- Place Value: The digit "8" is in the tens place, so its place value is \( 8 \times 10 = 80 \).
- Face Value: The face value of "8" is simply 8.
- Completed Row:
- Place Value: Tens
- Face Value: 8

#### 5. Number: 687 (Underlined digit: 8)
- Place Value: The digit "8" is in the tens place, so its place value is \( 8 \times 10 = 80 \).
- Face Value: The face value of "8" is simply 8.
- Completed Row:
- Place Value: Tens
- Face Value: 8

#### 6. Number: 359 (Underlined digit: 5)
- Place Value: The digit "5" is in the tens place, so its place value is \( 5 \times 10 = 50 \).
- Face Value: The face value of "5" is simply 5.
- Completed Row:
- Place Value: Tens
- Face Value: 5

Final Completed Table:

| Number | Place Value | Face Value |
|--------|-------------|------------|
| 59 | Ones | 9 |
| 28 | Ones | 8 |
| 109 | Tens | 0 |
| 284 | Tens | 8 |
| 687 | Tens | 8 |
| 359 | Tens | 5 |

Final Answer:

\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Number} & \text{Place Value} & \text{Face Value} \\
\hline
59 & \text{Ones} & 9 \\
28 & \text{Ones} & 8 \\
109 & \text{Tens} & 0 \\
284 & \text{Tens} & 8 \\
687 & \text{Tens} & 8 \\
359 & \text{Tens} & 5 \\
\hline
\end{array}
}
\]