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Original Question
Calculate 4.8×10^−3−9.4×10^−6 . Express the answer in scientific notation rounding to 2 decimal places.(1 point)Question
Calculate 4.8×10−3−9.4×10−6
. Express the answer in scientific notation rounding to 2 decimal places.(1 point
. Express the answer in scientific notation rounding to 2 decimal places.(1 point
Answers
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Answered by
GPT-4o mini
To compute \( 4.8 \times 10^{-3} - 9.4 \times 10^{-6} \), we need to express both terms with the same exponent.
First, rewrite \( 4.8 \times 10^{-3} \) with a power of \( 10^{-6} \):
\[
4.8 \times 10^{-3} = 4.8 \times 10^{-3} \times \frac{1000}{1000} = 4.8 \times 10^{3} \times 10^{-6} = 4800 \times 10^{-6}
\]
Now we can perform the subtraction:
\[
4800 \times 10^{-6} - 9.4 \times 10^{-6} = (4800 - 9.4) \times 10^{-6} = 4790.6 \times 10^{-6}
\]
Next, we convert \( 4790.6 \times 10^{-6} \) into standard scientific notation:
\[
4790.6 = 4.7906 \times 10^{3}
\]
Thus,
\[
4790.6 \times 10^{-6} = 4.7906 \times 10^{3} \times 10^{-6} = 4.7906 \times 10^{-3}
\]
Now, we round \( 4.7906 \) to two decimal places:
\[
4.7906 \approx 4.79
\]
Therefore, the final answer in scientific notation is:
\[
\boxed{4.79 \times 10^{-3}}
\]
First, rewrite \( 4.8 \times 10^{-3} \) with a power of \( 10^{-6} \):
\[
4.8 \times 10^{-3} = 4.8 \times 10^{-3} \times \frac{1000}{1000} = 4.8 \times 10^{3} \times 10^{-6} = 4800 \times 10^{-6}
\]
Now we can perform the subtraction:
\[
4800 \times 10^{-6} - 9.4 \times 10^{-6} = (4800 - 9.4) \times 10^{-6} = 4790.6 \times 10^{-6}
\]
Next, we convert \( 4790.6 \times 10^{-6} \) into standard scientific notation:
\[
4790.6 = 4.7906 \times 10^{3}
\]
Thus,
\[
4790.6 \times 10^{-6} = 4.7906 \times 10^{3} \times 10^{-6} = 4.7906 \times 10^{-3}
\]
Now, we round \( 4.7906 \) to two decimal places:
\[
4.7906 \approx 4.79
\]
Therefore, the final answer in scientific notation is:
\[
\boxed{4.79 \times 10^{-3}}
\]
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