Certainly! Let's write each of the given numbers in expanded notation, step-by-step.
Step-by-Step Solution:
### 3. 19,901
1. Identify the place value of each digit:
- Ten Thousands: [tex]\( 10,000 \times 1 = 10,000 \)[/tex]
- Thousands: [tex]\( 1,000 \times 9 = 9,000 \)[/tex]
- Hundreds: [tex]\( 100 \times 9 = 900 \)[/tex]
- Tens: [tex]\( 10 \times 0 = 0 \)[/tex]
- Ones: [tex]\( 1 \times 1 = 1 \)[/tex]
2. Write the number in expanded notation:
[tex]\[
10,000 + 9,000 + 900 + 0 + 1 = 19,901
\][/tex]
### 4. 5,456
1. Identify the place value of each digit:
- Thousands: [tex]\( 1,000 \times 5 = 5,000 \)[/tex]
- Hundreds: [tex]\( 100 \times 4 = 400 \)[/tex]
- Tens: [tex]\( 10 \times 5 = 50 \)[/tex]
- Ones: [tex]\( 1 \times 6 = 6 \)[/tex]
2. Write the number in expanded notation:
[tex]\[
5,000 + 400 + 50 + 6 = 5,456
\][/tex]
### 5. 301,103
1. Identify the place value of each digit:
- Hundreds of Thousands: [tex]\( 100,000 \times 3 = 300,000 \)[/tex]
- Tens of Thousands: [tex]\( 10,000 \times 0 = 0 \)[/tex]
- Thousands: [tex]\( 1,000 \times 1 = 1,000 \)[/tex]
- Hundreds: [tex]\( 100 \times 1 = 100 \)[/tex]
- Tens: [tex]\( 10 \times 0 = 0 \)[/tex]
- Ones: [tex]\( 1 \times 3 = 3 \)[/tex]
2. Write the number in expanded notation:
[tex]\[
300,000 + 0 + 1,000 + 100 + 0 + 3 = 301,103
\][/tex]
So to summarize:
- 19,901 in expanded notation is [tex]\( 10,000 + 9,000 + 900 + 0 + 1 \)[/tex].
- 5,456 in expanded notation is [tex]\( 5,000 + 400 + 50 + 6 \)[/tex].
- 301,103 in expanded notation is [tex]\( 300,000 + 0 + 1,000 + 100 + 0 + 3 \)[/tex].
