So, I have to turn the quotient answer into scientific notation.. (answer has to be in scientific notation)
6x10^24/ 8x10^8
- 7.5 x 10^2
- 7.5 x 10^15
- 0.75 x 10^3 *This is the one I pick*
- 0.75 x 10^16
7.5 x 10^2
With scientific notation you have to have a number (less than 10 and higher than zero) multiplied by 10^...
6x10^24 / 8x10^8
= 7.5x10^15
explanation
(6/8) = .75
10^24 / 10^8 = 10^16
so .75 x 10^16
= 7.5 x 10^15
Just to be clear, the number has to be at least 1.0 and less than 10.
In interval notation that would be a number in [1.0,10.0)
To turn the quotient answer into scientific notation, you need to follow these steps:
1. Divide the numbers:
6x10^24 / 8x10^8 = (6/8) x (10^24 / 10^8).
2. Simplify the fraction:
6/8 = 3/4.
3. Divide the powers of 10:
10^24 / 10^8 = 10^(24-8) = 10^16.
4. Put it all together:
(3/4) x 10^16.
Now, to write this in scientific notation, we need to express the fractional part as a decimal between 1 and 10.
5. Convert the fraction to decimal:
3/4 = 0.75.
6. The final answer in scientific notation is:
0.75 x 10^16.
So, the correct option is 0.75 x 10^16.