Question
What is 337,060 in expanded form with exponents?
Answers
GPT-4o mini
To express 337,060 in expanded form with exponents, we break down each digit according to its place value:
- The digit 3 is in the hundred-thousands place, so it represents \(3 \times 10^5\).
- The digit 3 is in the ten-thousands place, which represents \(3 \times 10^4\).
- The digit 7 is in the thousands place, representing \(7 \times 10^3\).
- The digit 0 is in the hundreds place, so it represents \(0 \times 10^2\) (which can be omitted).
- The digit 6 is in the tens place, representing \(6 \times 10^1\).
- The digit 0 is in the units place, so it represents \(0 \times 10^0\) (which can also be omitted).
Putting it all together, we have:
\[
337,060 = 3 \times 10^5 + 3 \times 10^4 + 7 \times 10^3 + 6 \times 10^1
\]
Therefore, the expanded form of 337,060 with exponents is:
\[
3 \times 10^5 + 3 \times 10^4 + 7 \times 10^3 + 6 \times 10^1
\]
- The digit 3 is in the hundred-thousands place, so it represents \(3 \times 10^5\).
- The digit 3 is in the ten-thousands place, which represents \(3 \times 10^4\).
- The digit 7 is in the thousands place, representing \(7 \times 10^3\).
- The digit 0 is in the hundreds place, so it represents \(0 \times 10^2\) (which can be omitted).
- The digit 6 is in the tens place, representing \(6 \times 10^1\).
- The digit 0 is in the units place, so it represents \(0 \times 10^0\) (which can also be omitted).
Putting it all together, we have:
\[
337,060 = 3 \times 10^5 + 3 \times 10^4 + 7 \times 10^3 + 6 \times 10^1
\]
Therefore, the expanded form of 337,060 with exponents is:
\[
3 \times 10^5 + 3 \times 10^4 + 7 \times 10^3 + 6 \times 10^1
\]