Question
Write 18,801,310 in expanded form using exponents
Answers
GPT-4o mini
To express the number 18,801,310 in expanded form using exponents, we break down each digit according to its place value:
- The digit 1 is in the ten million place: \(1 \times 10^7\)
- The digit 8 is in the million place: \(8 \times 10^6\)
- The digit 8 is in the hundred thousand place: \(8 \times 10^5\)
- The digit 0 is in the ten thousand place: \(0 \times 10^4\)
- The digit 1 is in the thousand place: \(1 \times 10^3\)
- The digit 3 is in the hundred place: \(3 \times 10^2\)
- The digit 1 is in the ten place: \(1 \times 10^1\)
- The digit 0 is in the unit place: \(0 \times 10^0\)
Putting it all together, we have:
\[
18,801,310 = 1 \times 10^7 + 8 \times 10^6 + 8 \times 10^5 + 0 \times 10^4 + 1 \times 10^3 + 3 \times 10^2 + 1 \times 10^1 + 0 \times 10^0
\]
Thus, the expanded form of 18,801,310 using exponents is:
\[
1 \times 10^7 + 8 \times 10^6 + 8 \times 10^5 + 0 \times 10^4 + 1 \times 10^3 + 3 \times 10^2 + 1 \times 10^1 + 0 \times 10^0
\]
- The digit 1 is in the ten million place: \(1 \times 10^7\)
- The digit 8 is in the million place: \(8 \times 10^6\)
- The digit 8 is in the hundred thousand place: \(8 \times 10^5\)
- The digit 0 is in the ten thousand place: \(0 \times 10^4\)
- The digit 1 is in the thousand place: \(1 \times 10^3\)
- The digit 3 is in the hundred place: \(3 \times 10^2\)
- The digit 1 is in the ten place: \(1 \times 10^1\)
- The digit 0 is in the unit place: \(0 \times 10^0\)
Putting it all together, we have:
\[
18,801,310 = 1 \times 10^7 + 8 \times 10^6 + 8 \times 10^5 + 0 \times 10^4 + 1 \times 10^3 + 3 \times 10^2 + 1 \times 10^1 + 0 \times 10^0
\]
Thus, the expanded form of 18,801,310 using exponents is:
\[
1 \times 10^7 + 8 \times 10^6 + 8 \times 10^5 + 0 \times 10^4 + 1 \times 10^3 + 3 \times 10^2 + 1 \times 10^1 + 0 \times 10^0
\]