Math worksheet for practicing place value decomposition and number breakdowns.

Problem Overview:

The task involves filling in the missing numbers in the boxes and writing out the place values for each number. This exercise focuses on understanding place value, which is the value of each digit in a number based on its position.

Solution:

#### Step 1: Understand Place Value
- Hundreds place: The third digit from the right.
- Tens place: The second digit from the right.
- Ones place: The first digit from the right.
- Thousands place: The fourth digit from the right.
- Ten-thousands place: The fifth digit from the right.
- Hundred-thousands place: The sixth digit from the right.
- And so on...

#### Step 2: Solve Each Problem

1. 352 = 300 + 50 + 2
- Place value: Three hundreds, five tens, and two ones.

2. 784 = ☐ + 80 + ☐
- Break down 784:
- Hundreds place: 7 (700)
- Tens place: 8 (80)
- Ones place: 4 (4)
- Fill in the boxes: 700 + 80 + 4
- Place value: Seven hundreds, eight tens, and four ones.

3. 1089 = ☐ + ☐ + 9
- Break down 1089:
- Thousands place: 1 (1000)
- Hundreds place: 0 (0)
- Tens place: 8 (80)
- Ones place: 9 (9)
- Fill in the boxes: 1000 + 80 + 9
- Place value: One thousand, zero hundreds, eight tens, and nine ones.

4. 4503 = 4000 + ☐ + ☐
- Break down 4503:
- Thousands place: 4 (4000)
- Hundreds place: 5 (500)
- Tens place: 0 (0)
- Ones place: 3 (3)
- Fill in the boxes: 4000 + 500 + 3
- Place value: Four thousands, five hundreds, zero tens, and three ones.

5. 9866 = ☐ + 800 + ☐ + ☐
- Break down 9866:
- Thousands place: 9 (9000)
- Hundreds place: 8 (800)
- Tens place: 6 (60)
- Ones place: 6 (6)
- Fill in the boxes: 9000 + 800 + 60 + 6
- Place value: Nine thousands, eight hundreds, six tens, and six ones.

6. 10492 = 10,000 + ☐ + 90 + 2
- Break down 10492:
- Ten-thousands place: 1 (10000)
- Thousands place: 0 (0)
- Hundreds place: 4 (400)
- Tens place: 9 (90)
- Ones place: 2 (2)
- Fill in the boxes: 10000 + 400 + 90 + 2
- Place value: Ten thousands, zero thousands, four hundreds, nine tens, and two ones.

7. 59401 = ☐ + ☐ + ☐ + 1
- Break down 59401:
- Ten-thousands place: 5 (50000)
- Thousands place: 9 (9000)
- Hundreds place: 4 (400)
- Tens place: 0 (0)
- Ones place: 1 (1)
- Fill in the boxes: 50000 + 9000 + 400 + 1
- Place value: Five ten-thousands, nine thousands, four hundreds, zero tens, and one one.

8. 120492 = 100,000 + ☐ + 400 + ☐ + 2
- Break down 120492:
- Hundred-thousands place: 1 (100000)
- Ten-thousands place: 2 (20000)
- Thousands place: 0 (0)
- Hundreds place: 4 (400)
- Tens place: 9 (90)
- Ones place: 2 (2)
- Fill in the boxes: 100000 + 20000 + 400 + 90 + 2
- Place value: One hundred-thousand, two ten-thousands, zero thousands, four hundreds, nine tens, and two ones.

9. 769454 = ☐ + ☐ + ☐ + 400 + ☐
- Break down 769454:
- Hundred-thousands place: 7 (700000)
- Ten-thousands place: 6 (60000)
- Thousands place: 9 (9000)
- Hundreds place: 4 (400)
- Tens place: 5 (50)
- Ones place: 4 (4)
- Fill in the boxes: 700000 + 60000 + 9000 + 400 + 50 + 4
- Place value: Seven hundred-thousands, six ten-thousands, nine thousands, four hundreds, five tens, and four ones.

10. 6103446 = ☐ + ☐ + ☐ + ☐ + 40 + 6
- Break down 6103446:
- Millions place: 6 (6000000)
- Hundred-thousands place: 1 (100000)
- Ten-thousands place: 0 (0)
- Thousands place: 3 (3000)
- Hundreds place: 4 (400)
- Tens place: 4 (40)
- Ones place: 6 (6)
- Fill in the boxes: 6000000 + 100000 + 3000 + 400 + 40 + 6
- Place value: Six millions, one hundred-thousand, zero ten-thousands, three thousands, four hundreds, four tens, and six ones.

Final Answer:

\[
\boxed{
\begin{aligned}
&784 = 700 + 80 + 4 = \text{Seven hundreds, eight tens, and four ones.} \\
&1089 = 1000 + 80 + 9 = \text{One thousand, eight tens, and nine ones.} \\
&4503 = 4000 + 500 + 3 = \text{Four thousands, five hundreds, and three ones.} \\
&9866 = 9000 + 800 + 60 + 6 = \text{Nine thousands, eight hundreds, six tens, and six ones.} \\
&10492 = 10000 + 400 + 90 + 2 = \text{Ten thousands, four hundreds, nine tens, and two ones.} \\
&59401 = 50000 + 9000 + 400 + 1 = \text{Five ten-thousands, nine thousands, four hundreds, and one one.} \\
&120492 = 100000 + 20000 + 400 + 90 + 2 = \text{One hundred-thousand, two ten-thousands, four hundreds, nine tens, and two ones.} \\
&769454 = 700000 + 60000 + 9000 + 400 + 50 + 4 = \text{Seven hundred-thousands, six ten-thousands, nine thousands, four hundreds, five tens, and four ones.} \\
&6103446 = 6000000 + 100000 + 3000 + 400 + 40 + 6 = \text{Six millions, one hundred-thousand, three thousands, four hundreds, four tens, and six ones.}
\end{aligned}
}
\]