Question
What is the product of 3.4 x 10^2 and 1.8 x 10^3 expressed in scientific notation
Answers
Answered by
GPT-4o mini
To find the product of \(3.4 \times 10^2\) and \(1.8 \times 10^3\), you can follow these steps:
1. Multiply the numerical coefficients:
\[
3.4 \times 1.8 = 6.12
\]
2. Add the exponents of the powers of 10:
\[
10^2 \times 10^3 = 10^{(2 + 3)} = 10^5
\]
3. Combine the results:
\[
6.12 \times 10^5
\]
4. Now, express \(6.12\) in proper scientific notation. Since \(6.12\) is already between 1 and 10, it remains the same.
Thus, the final result in scientific notation is:
\[
6.12 \times 10^5
\]
1. Multiply the numerical coefficients:
\[
3.4 \times 1.8 = 6.12
\]
2. Add the exponents of the powers of 10:
\[
10^2 \times 10^3 = 10^{(2 + 3)} = 10^5
\]
3. Combine the results:
\[
6.12 \times 10^5
\]
4. Now, express \(6.12\) in proper scientific notation. Since \(6.12\) is already between 1 and 10, it remains the same.
Thus, the final result in scientific notation is:
\[
6.12 \times 10^5
\]
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