To find the quotient of
divided by
, we can perform the division in scientific notation.
![\[ (4.4 * 10^2)/(1.1 * 10^(-3)) \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/q3u5ixuu8hc62nmbzwf2q08mdqsgwrof0t.png)
To divide, we divide the coefficients (4.4 by 1.1) and subtract the exponents (2 - (-3)):
![\[ (4.4)/(1.1) * 10^(2 - (-3)) = 4 * 10^5 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/rdrc3j93te7v6h9v2huvaqylrt4m0ygl06.png)
The quotient is
, and the impact on the exponent is that it becomes greater than the exponent of the dividend (positive instead of negative).
Therefore, the result in scientific notation is
. The quotient is greater than 1, and the exponent is now positive, indicating a larger magnitude compared to the original values.
The complete question is probably:
What is the quotient of
divided by
? Use pencil and paper to perform the division in scientific notation. After finding the quotient, consider the impact on the exponent of the result. Does the quotient result in an exponent that is greater than, equal to, or less than the exponent of the dividend? Be sure to enter your answer in scientific notation format.