Write the Numbers in Expanded Form - Math Worksheet

Problem:

The task is to write the given numbers in expanded form. Expanded form means expressing a number as the sum of the values of its digits based on their place values (hundreds, tens, and ones).

#### Steps to Solve:
1. Identify the place value of each digit in the number.
2. Write each digit multiplied by its place value.
3. Add these values together to express the number in expanded form.

#### Place Values:
- The hundreds place: \( \text{digit} \times 100 \)
- The tens place: \( \text{digit} \times 10 \)
- The ones place: \( \text{digit} \times 1 \)

#### Solution for Each Number:

1. 562
- Hundreds: \( 5 \times 100 = 500 \)
- Tens: \( 6 \times 10 = 60 \)
- Ones: \( 2 \times 1 = 2 \)
- Expanded form: \( 500 + 60 + 2 \)

2. 937
- Hundreds: \( 9 \times 100 = 900 \)
- Tens: \( 3 \times 10 = 30 \)
- Ones: \( 7 \times 1 = 7 \)
- Expanded form: \( 900 + 30 + 7 \)

3. 326
- Hundreds: \( 3 \times 100 = 300 \)
- Tens: \( 2 \times 10 = 20 \)
- Ones: \( 6 \times 1 = 6 \)
- Expanded form: \( 300 + 20 + 6 \)

4. 353
- Hundreds: \( 3 \times 100 = 300 \)
- Tens: \( 5 \times 10 = 50 \)
- Ones: \( 3 \times 1 = 3 \)
- Expanded form: \( 300 + 50 + 3 \)

5. 238
- Hundreds: \( 2 \times 100 = 200 \)
- Tens: \( 3 \times 10 = 30 \)
- Ones: \( 8 \times 1 = 8 \)
- Expanded form: \( 200 + 30 + 8 \)

6. 118
- Hundreds: \( 1 \times 100 = 100 \)
- Tens: \( 1 \times 10 = 10 \)
- Ones: \( 8 \times 1 = 8 \)
- Expanded form: \( 100 + 10 + 8 \)

7. 323
- Hundreds: \( 3 \times 100 = 300 \)
- Tens: \( 2 \times 10 = 20 \)
- Ones: \( 3 \times 1 = 3 \)
- Expanded form: \( 300 + 20 + 3 \)

8. 860
- Hundreds: \( 8 \times 100 = 800 \)
- Tens: \( 6 \times 10 = 60 \)
- Ones: \( 0 \times 1 = 0 \)
- Expanded form: \( 800 + 60 + 0 \)

9. 247
- Hundreds: \( 2 \times 100 = 200 \)
- Tens: \( 4 \times 10 = 40 \)
- Ones: \( 7 \times 1 = 7 \)
- Expanded form: \( 200 + 40 + 7 \)

10. 146
- Hundreds: \( 1 \times 100 = 100 \)
- Tens: \( 4 \times 10 = 40 \)
- Ones: \( 6 \times 1 = 6 \)
- Expanded form: \( 100 + 40 + 6 \)

11. 879
- Hundreds: \( 8 \times 100 = 800 \)
- Tens: \( 7 \times 10 = 70 \)
- Ones: \( 9 \times 1 = 9 \)
- Expanded form: \( 800 + 70 + 9 \)

12. 493
- Hundreds: \( 4 \times 100 = 400 \)
- Tens: \( 9 \times 10 = 90 \)
- Ones: \( 3 \times 1 = 3 \)
- Expanded form: \( 400 + 90 + 3 \)

13. 458
- Hundreds: \( 4 \times 100 = 400 \)
- Tens: \( 5 \times 10 = 50 \)
- Ones: \( 8 \times 1 = 8 \)
- Expanded form: \( 400 + 50 + 8 \)

14. 589
- Hundreds: \( 5 \times 100 = 500 \)
- Tens: \( 8 \times 10 = 80 \)
- Ones: \( 9 \times 1 = 9 \)
- Expanded form: \( 500 + 80 + 9 \)

15. 957
- Hundreds: \( 9 \times 100 = 900 \)
- Tens: \( 5 \times 10 = 50 \)
- Ones: \( 7 \times 1 = 7 \)
- Expanded form: \( 900 + 50 + 7 \)

Final Answer:

\[
\boxed{
\begin{aligned}
1) & \ 500 + 60 + 2 \\
2) & \ 900 + 30 + 7 \\
3) & \ 300 + 20 + 6 \\
4) & \ 300 + 50 + 3 \\
5) & \ 200 + 30 + 8 \\
6) & \ 100 + 10 + 8 \\
7) & \ 300 + 20 + 3 \\
8) & \ 800 + 60 + 0 \\
9) & \ 200 + 40 + 7 \\
10) & \ 100 + 40 + 6 \\
11) & \ 800 + 70 + 9 \\
12) & \ 400 + 90 + 3 \\
13) & \ 400 + 50 + 8 \\
14) & \ 500 + 80 + 9 \\
15) & \ 900 + 50 + 7 \\
\end{aligned}
}
\]