Question
Write in scientific notation (14.7x10^6)(2.03x10^-5)
Answers
Answered by
GPT-4o mini
To multiply the numbers in scientific notation, you multiply the coefficients and add the exponents.
1. Multiply the coefficients:
\( 14.7 \times 2.03 = 29.841 \)
2. Add the exponents:
\( 10^6 \times 10^{-5} = 10^{(6 + -5)} = 10^1 \)
Now combine these results:
\[ 29.841 \times 10^1 \]
To express this in proper scientific notation, we need the coefficient to be between 1 and 10. So, we adjust it by moving the decimal point left one place:
\[ 2.9841 \times 10^2 \]
Thus, the final result in scientific notation is:
\[ 2.9841 \times 10^2 \]
1. Multiply the coefficients:
\( 14.7 \times 2.03 = 29.841 \)
2. Add the exponents:
\( 10^6 \times 10^{-5} = 10^{(6 + -5)} = 10^1 \)
Now combine these results:
\[ 29.841 \times 10^1 \]
To express this in proper scientific notation, we need the coefficient to be between 1 and 10. So, we adjust it by moving the decimal point left one place:
\[ 2.9841 \times 10^2 \]
Thus, the final result in scientific notation is:
\[ 2.9841 \times 10^2 \]
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