Respuesta :
The correct scientific notation of [0.789×(10⁵)] is 78900.
As per the question statement, we are provided with a multiplication of a decimal number and an exponential number.
We are required to determine its correct scientific notation.
A decimal number, say 0.059, can be expressed as a multiplication of a decimal number and an exponential number, such as [5.9×(10)⁻²].
But in our case, after performing the multiplication of the given values, we get, [tex][0.789*10^{5}]=(\frac{789}{1000}*100000)=(789*100)=78900[/tex]
And 78900 is not a decimal value. Hence, the correct scientific notation of [0.789×(10⁵)] is 78900.
[Note: Here, we need to know the procedure to convert a decimal into a fraction, using which we converted 0.789 into [tex]\frac{789}{1000}[/tex]. First, we will need to eliminate the decimal point and consider the digits in the same order as a complete number which will be our numerator. Secondly, we will use (10ⁿ) as the denominator, where "n" is the number of digits to the right side of the decimal point in the original decimal number. Thus, 0.789 can be written as [tex]\frac{789}{1000}[/tex], as there are three digits to the right of the decimal point in 0.789]
- Scientific Notation: It is a method of expressing numbers that are too large or too small to be conveniently written in decimal form.
- Exponential Number: Any number which is in the form of (aⁿ), is known as an exponential number.
To learn more about Scientific Notations, click on the link below.
https://brainly.com/question/18073768
#SPJ9
