Question

What is 18,801,310 in expanded form with exponents?

Answer 1

To express the number 18,801,310 in expanded form with exponents, we break it down by place value. Here is how it can be represented:

1. **Identify the place values**:
- 1 in the ten million place
- 8 in the million place
- 8 in the hundred thousand place
- 0 in the ten thousand place
- 1 in the thousand place
- 3 in the hundred place
- 1 in the ten place
- 0 in the unit place

2. **Convert to expanded form using exponents**:
- \(1 \times 10^7\) (ten million)
- \(8 \times 10^6\) (million)
- \(8 \times 10^5\) (hundred thousand)
- \(0 \times 10^4\) (ten thousand - this term is not necessary to include since it equals 0)
- \(1 \times 10^3\) (thousand)
- \(3 \times 10^2\) (hundred)
- \(1 \times 10^1\) (ten)
- \(0 \times 10^0\) (unit - this term is also not necessary to include since it equals 0)

3. **Combine these terms**:
Thus, the number 18,801,310 can be written in expanded form as:
\[
1 \times 10^7 + 8 \times 10^6 + 8 \times 10^5 + 1 \times 10^3 + 3 \times 10^2 + 1 \times 10^1
\]

This is the expanded form of 18,801,310 with exponents.