Place Value Activities Worksheets - Free Printable

Problem Description:

The task involves identifying numbers based on their place values. Each clue describes the number of "ones" and "tens" in a number, and we need to determine the actual number for each clue.

Solution Approach:

1. Understanding Place Values:
- The "ones" place represents the units digit.
- The "tens" place represents the tens digit.
- A number can be constructed by combining the tens and ones digits.

2. Formula:
- If a number has \( T \) tens and \( O \) ones, the number can be calculated as:
\[
\text{Number} = (T \times 10) + O
\]

3. Solving Each Clue:
- For each clue, identify the number of tens (\( T \)) and ones (\( O \)).
- Use the formula above to calculate the number.

Step-by-Step Solution:

#### Clue 1: I have 10 ones and 5 tens.
- Tens (\( T \)) = 5
- Ones (\( O \)) = 10
- Number = \( (5 \times 10) + 10 = 50 + 10 = 60 \)

#### Clue 2: I have 13 ones and 6 tens.
- Tens (\( T \)) = 6
- Ones (\( O \)) = 13
- Number = \( (6 \times 10) + 13 = 60 + 13 = 73 \)

#### Clue 3: I have 6 ones and 7 tens.
- Tens (\( T \)) = 7
- Ones (\( O \)) = 6
- Number = \( (7 \times 10) + 6 = 70 + 6 = 76 \)

#### Clue 4: I have 5 ones and 9 tens.
- Tens (\( T \)) = 9
- Ones (\( O \)) = 5
- Number = \( (9 \times 10) + 5 = 90 + 5 = 95 \)

#### Clue 5: I have 9 ones and 8 tens.
- Tens (\( T \)) = 8
- Ones (\( O \)) = 9
- Number = \( (8 \times 10) + 9 = 80 + 9 = 89 \)

#### Clue 6: I have 4 ones and 6 tens.
- Tens (\( T \)) = 6
- Ones (\( O \)) = 4
- Number = \( (6 \times 10) + 4 = 60 + 4 = 64 \)

#### Clue 7: I have 2 ones and 5 tens.
- Tens (\( T \)) = 5
- Ones (\( O \)) = 2
- Number = \( (5 \times 10) + 2 = 50 + 2 = 52 \)

#### Clue 8: I have 15 ones and 4 tens.
- Tens (\( T \)) = 4
- Ones (\( O \)) = 15
- Number = \( (4 \times 10) + 15 = 40 + 15 = 55 \)

#### Clue 9: I have 9 ones and 6 tens.
- Tens (\( T \)) = 6
- Ones (\( O \)) = 9
- Number = \( (6 \times 10) + 9 = 60 + 9 = 69 \)

#### Clue 10: I have 16 ones and 7 tens.
- Tens (\( T \)) = 7
- Ones (\( O \)) = 16
- Number = \( (7 \times 10) + 16 = 70 + 16 = 86 \)

Final Answer:

\[
\boxed{
\begin{array}{ll}
1. & 60 \\
2. & 73 \\
3. & 76 \\
4. & 95 \\
5. & 89 \\
6. & 64 \\
7. & 52 \\
8. & 55 \\
9. & 69 \\
10. & 86 \\
\end{array}
}
\]