To convert the expanded form [tex]\(3 \times 10^4 + 2 \times 10^2\)[/tex] into a numeral, follow these steps:
1. Identify and Calculate the Value of Each Term:
- The first term is [tex]\(3 \times 10^4\)[/tex].
- [tex]\(10^4\)[/tex] means 10 raised to the power of 4, which is 10,000.
- Multiplying by 3: [tex]\(3 \times 10,000 = 30,000\)[/tex].
- The second term is [tex]\(2 \times 10^2\)[/tex].
- [tex]\(10^2\)[/tex] means 10 raised to the power of 2, which is 100.
- Multiplying by 2: [tex]\(2 \times 100 = 200\)[/tex].
2. Sum the Values of Each Term to Get the Numeral:
- Add the results of the calculated terms:
- [tex]\(30,000 + 200 = 30,200\)[/tex].
Therefore, the numeral for the expanded form [tex]\(3 \times 10^4 + 2 \times 10^2\)[/tex] is [tex]\(30,200\)[/tex].
