Answer: [tex]1.15*10\ days[/tex]
Step-by-step explanation:
The Standard form is also called "Scientific notation" and have the following form:
[tex]a*10^b[/tex]
Where [tex]1\leq|a|<10[/tex] and "b" is an integer.
You know that a day is [tex]8.64*10^4\ seconds[/tex] long.
Then, in order to find how many days are in [tex]1,000,000\ seconds[/tex] (let's represent this number of days with "x"), you need to follow these steps:
1. Write [tex]1,000,000\ seconds[/tex] in Standard form. Move the decimal point 6 places to the left. Then:
[tex]1,000,000\ seconds=1*10^6\ seconds[/tex]
2. Set up this proportion and solve for "x":
[tex]\frac{1}{8.64*10^4}=\frac{x}{1*10^6}\\\\(\frac{1*10^6}{8.64*10^4}=x\\\\[/tex]
3. Apply the Quotient of powers property, which states that:
[tex]\frac{a^m}{a^n}=a^{(m-n)}[/tex]
Then:
[tex]x=0.115*10^2[/tex]
4. Move the decimal point one place to the right, because it must be after the first digit. Then you get:
[tex]1.15*10\ days[/tex]
