Place Value, Face Value and Total Value worksheet - Free Printable

To solve the problem, we need to determine the Place Value, Face Value, and Total Value for each digit in the given numbers. Let's break it down step by step.

Definitions:

1. Place Value: The value of a digit based on its position in the number.
- For example, in the number 235:
- The digit 2 is in the hundreds place, so its place value is 100.
- The digit 3 is in the tens place, so its place value is 10.
- The digit 5 is in the ones place, so its place value is 1.

2. Face Value: The actual value of the digit itself, regardless of its position.
- For example, in the number 235:
- The face value of 2 is 2.
- The face value of 3 is 3.
- The face value of 5 is 5.

3. Total Value: The product of the Place Value and the Face Value.
- For example, in the number 235:
- For the digit 2: Total Value = Place Value (100) × Face Value (2) = 200.
- For the digit 3: Total Value = Place Value (10) × Face Value (3) = 30.
- For the digit 5: Total Value = Place Value (1) × Face Value (5) = 5.

Step-by-Step Solution:

#### Number: 235
- Digit 2:
- Place Value: Hundreds place → 100
- Face Value: 2
- Total Value: \( 100 \times 2 = 200 \)

- Digit 3:
- Place Value: Tens place → 10
- Face Value: 3
- Total Value: \( 10 \times 3 = 30 \)

- Digit 5:
- Place Value: Ones place → 1
- Face Value: 5
- Total Value: \( 1 \times 5 = 5 \)

#### Number: 801
- Digit 8:
- Place Value: Hundreds place → 100
- Face Value: 8
- Total Value: \( 100 \times 8 = 800 \)

- Digit 0:
- Place Value: Tens place → 10
- Face Value: 0
- Total Value: \( 10 \times 0 = 0 \)

- Digit 1:
- Place Value: Ones place → 1
- Face Value: 1
- Total Value: \( 1 \times 1 = 1 \)

#### Number: 711
- Digit 7:
- Place Value: Hundreds place → 100
- Face Value: 7
- Total Value: \( 100 \times 7 = 700 \)

- Digit 1 (first 1):
- Place Value: Tens place → 10
- Face Value: 1
- Total Value: \( 10 \times 1 = 10 \)

- Digit 1 (second 1):
- Place Value: Ones place → 1
- Face Value: 1
- Total Value: \( 1 \times 1 = 1 \)

#### Number: 228
- Digit 2 (first 2):
- Place Value: Hundreds place → 100
- Face Value: 2
- Total Value: \( 100 \times 2 = 200 \)

- Digit 2 (second 2):
- Place Value: Tens place → 10
- Face Value: 2
- Total Value: \( 10 \times 2 = 20 \)

- Digit 8:
- Place Value: Ones place → 1
- Face Value: 8
- Total Value: \( 1 \times 8 = 8 \)

#### Number: 195
- Digit 1:
- Place Value: Hundreds place → 100
- Face Value: 1
- Total Value: \( 100 \times 1 = 100 \)

- Digit 9:
- Place Value: Tens place → 10
- Face Value: 9
- Total Value: \( 10 \times 9 = 90 \)

- Digit 5:
- Place Value: Ones place → 1
- Face Value: 5
- Total Value: \( 1 \times 5 = 5 \)

Final Answer:

\[
\begin{array}{|c|c|c|c|}
\hline
\text{Number} & \text{Place Value} & \text{Face Value} & \text{Total Value} \\
\hline
64 & \text{Tens} & 6 & 60 \\
\hline
235 & \text{Hundreds, Tens, Ones} & 2, 3, 5 & 200, 30, 5 \\
\hline
801 & \text{Hundreds, Tens, Ones} & 8, 0, 1 & 800, 0, 1 \\
\hline
711 & \text{Hundreds, Tens, Ones} & 7, 1, 1 & 700, 10, 1 \\
\hline
228 & \text{Hundreds, Tens, Ones} & 2, 2, 8 & 200, 20, 8 \\
\hline
195 & \text{Hundreds, Tens, Ones} & 1, 9, 5 & 100, 90, 5 \\
\hline
\end{array}
\]

\boxed{
\begin{array}{|c|c|c|c|}
\hline
\text{Number} & \text{Place Value} & \text{Face Value} & \text{Total Value} \\
\hline
64 & \text{Tens} & 6 & 60 \\
\hline
235 & \text{Hundreds, Tens, Ones} & 2, 3, 5 & 200, 30, 5 \\
\hline
801 & \text{Hundreds, Tens, Ones} & 8, 0, 1 & 800, 0, 1 \\
\hline
711 & \text{Hundreds, Tens, Ones} & 7, 1, 1 & 700, 10, 1 \\
\hline
228 & \text{Hundreds, Tens, Ones} & 2, 2, 8 & 200, 20, 8 \\
\hline
195 & \text{Hundreds, Tens, Ones} & 1, 9, 5 & 100, 90, 5 \\
\hline
\end{array}
}