Read these numbers. Write them using place value boxes, and then write...
**Place Value Boxes and Expanded Forms**
a) 475330:
Place Value Boxes:
```
4 7 5 3 3 0
Tens Thousands Hundreds Tens Ones
```
Expanded Form:
```
4 × 100000 + 7 × 10000 + 5 × 1000 + 3 × 100 + 3 × 10 + 0 × 1
400000 + 70000 + 5000 + 300 + 30 + 0
475330
```
Explanation:
- The number 475330 is written in place value boxes by breaking it down into its digit places: tens, thousands, hundreds, tens, and ones.
- Each digit is placed in the corresponding box according to its place value.
- The expanded form of 475330 is obtained by multiplying each digit with its respective place value and then adding them together.
- In this case, 4 is in the ten thousands place, so it is multiplied by 100000. 7 is in the thousands place, so it is multiplied by 10000. And so on.
- The expanded form of 475330 is calculated as 400000 + 70000 + 5000 + 300 + 30 + 0, which equals 475330.
b) 9847215:
Place Value Boxes:
```
9 8 4 7 2 1 5
Millions Hundred Thousands Ten Thousands Thousands Hundreds Tens Ones
```
Expanded Form:
```
9 × 1000000 + 8 × 100000 + 4 × 10000 + 7 × 1000 + 2 × 100 + 1 × 10 + 5 × 1
9000000 + 800000 + 40000 + 7000 + 200 + 10 + 5
9847215
```
Explanation:
- The number 9847215 is written in place value boxes by breaking it down into its digit places: millions, hundred thousands, ten thousands, thousands, hundreds, tens, and ones.
- Each digit is placed in the corresponding box according to its place value.
- The expanded form of 9847215 is obtained by multiplying each digit with its respective place value and then adding them together.
- In this case, 9 is in the millions place, so it is multiplied by 1000000. 8 is in the hundred thousands place, so it is multiplied by 100000. And so on.
- The expanded form of 9847215 is calculated as 9000000 + 800000 + 40000 + 7000 + 200 + 10 + 5, which equals 9847215.
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