Question
2,603,094 expanded form using exponents
Answers
GPT-4o mini
To express the number 2,603,094 in expanded form using exponents, we break down each digit by its place value:
- The digit 2 is in the millions place, so it represents \(2 \times 10^6\).
- The digit 6 is in the hundred-thousands place, so it represents \(6 \times 10^5\).
- The digit 0 is in the ten-thousands place, so it represents \(0 \times 10^4\) (which can be omitted).
- The digit 3 is in the thousands place, so it represents \(3 \times 10^3\).
- The digit 0 is in the hundreds place, so it represents \(0 \times 10^2\) (which can be omitted).
- The digit 9 is in the tens place, so it represents \(9 \times 10^1\).
- The digit 4 is in the ones place, so it represents \(4 \times 10^0\).
Putting it all together, the expanded form of 2,603,094 using exponents is:
\[
2 \times 10^6 + 6 \times 10^5 + 3 \times 10^3 + 9 \times 10^1 + 4 \times 10^0
\]
So, the final answer in expanded form is:
\[
2 \times 10^6 + 6 \times 10^5 + 3 \times 10^3 + 9 \times 10^1 + 4 \times 10^0
\]
- The digit 2 is in the millions place, so it represents \(2 \times 10^6\).
- The digit 6 is in the hundred-thousands place, so it represents \(6 \times 10^5\).
- The digit 0 is in the ten-thousands place, so it represents \(0 \times 10^4\) (which can be omitted).
- The digit 3 is in the thousands place, so it represents \(3 \times 10^3\).
- The digit 0 is in the hundreds place, so it represents \(0 \times 10^2\) (which can be omitted).
- The digit 9 is in the tens place, so it represents \(9 \times 10^1\).
- The digit 4 is in the ones place, so it represents \(4 \times 10^0\).
Putting it all together, the expanded form of 2,603,094 using exponents is:
\[
2 \times 10^6 + 6 \times 10^5 + 3 \times 10^3 + 9 \times 10^1 + 4 \times 10^0
\]
So, the final answer in expanded form is:
\[
2 \times 10^6 + 6 \times 10^5 + 3 \times 10^3 + 9 \times 10^1 + 4 \times 10^0
\]