College

What is [tex]$8.305 \times 10^{-7}$[/tex] written in standard notation?

A. 0.00000008305
B. [tex]$83,050,000$[/tex]
C. 0.0000008305
D. [tex]$-83,050,000$[/tex]

Answer :

Sure! To convert the scientific notation [tex]\(8.305 \times 10^{-7}\)[/tex] into standard notation, follow these steps:

1. Understand Scientific Notation: The expression [tex]\(8.305 \times 10^{-7}\)[/tex] means you take the number 8.305 and multiply it by 10 raised to the power of -7.

2. Move the Decimal Point: The power of -7 indicates that you move the decimal point 7 places to the left. Because it's a negative exponent, the number will become smaller.

3. Counting Zeros: Start with the number 8.305:
- Moving the decimal 1 place to the left gives 0.8305.
- Move 1 more place to the left each time, which means adding zeros before it until you have moved 7 places in total.

4. Result: After moving the decimal point 7 places to the left of the original number, you get 0.0000008305.

So, [tex]\(8.305 \times 10^{-7}\)[/tex] written in standard notation is [tex]\(0.0000008305\)[/tex].