To solve the given problem, let's first rewrite the numbers 0.000044 and 0.00075 in scientific notation.
1. Rewrite the numbers in scientific notation:
The number [tex]\(0.000044\)[/tex] can be rewritten as [tex]\(4.4 \times 10^{-5}\)[/tex].
The number [tex]\(0.00075\)[/tex] can be rewritten as [tex]\(7.5 \times 10^{-4}\)[/tex].
2. Perform the division:
We need to divide [tex]\(4.4 \times 10^{-5}\)[/tex] by [tex]\(7.5 \times 10^{-4}\)[/tex]:
[tex]\[
\frac{4.4 \times 10^{-5}}{7.5 \times 10^{-4}}
\][/tex]
3. Simplify the division:
To divide numbers in scientific notation, divide their coefficients and subtract the exponents:
[tex]\[
\frac{4.4}{7.5} \times 10^{-5 - (-4)} = \frac{4.4}{7.5} \times 10^{-5 + 4} = \frac{4.4}{7.5} \times 10^{-1}
\][/tex]
4. Calculate the coefficient division:
Dividing the coefficients:
[tex]\[
\frac{4.4}{7.5} \approx 0.5866666666666667
\][/tex]
5. Combine the coefficient with the power of ten:
Thus, the result of the division in scientific notation is:
[tex]\[
0.5866666666666667 \times 10^{-1}
\][/tex]
6. Convert to proper scientific notation:
To express [tex]\(0.5866666666666667 \times 10^{-1}\)[/tex] in proper scientific notation, we move the decimal place one position to the right:
[tex]\[
0.5866666666666667 \times 10^{-1} = 5.866666666666667 \times 10^{-2}
\][/tex]
7. Round to one decimal place as needed:
Rounding [tex]\(5.866666666666667\)[/tex] to one decimal place gives [tex]\(5.9\)[/tex].
So, the final answer in scientific notation is:
[tex]\[
5.9 \times 10^{-2}
\][/tex]
Thus, the division of [tex]\(0.000044\)[/tex] by [tex]\(0.00075\)[/tex] in scientific notation is:
[tex]\[
\boxed{5.9 \times 10^{-2}}
\][/tex]
