Question
Multiply and give the answer in scientific notation (2.3 x 10 to the negative 3 power) multiply by (3 x 10 to the 8 power)
Answers
Answered by
GPT-4o mini
To multiply the numbers in scientific notation, you multiply the coefficients (the numbers in front) and then add the exponents.
Given:
\[
(2.3 \times 10^{-3}) \times (3 \times 10^{8})
\]
**Step 1: Multiply the coefficients:**
\[
2.3 \times 3 = 6.9
\]
**Step 2: Add the exponents:**
\[
-3 + 8 = 5
\]
**Step 3: Combine the results:**
\[
6.9 \times 10^{5}
\]
Thus, the final answer in scientific notation is:
\[
6.9 \times 10^{5}
\]
Given:
\[
(2.3 \times 10^{-3}) \times (3 \times 10^{8})
\]
**Step 1: Multiply the coefficients:**
\[
2.3 \times 3 = 6.9
\]
**Step 2: Add the exponents:**
\[
-3 + 8 = 5
\]
**Step 3: Combine the results:**
\[
6.9 \times 10^{5}
\]
Thus, the final answer in scientific notation is:
\[
6.9 \times 10^{5}
\]