To convert the scientific notation [tex]\(3.07 \times 10^{-4}\)[/tex] to its standard form, follow these steps:
1. Understand the Scientific Notation:
- The number [tex]\(3.07 \times 10^{-4}\)[/tex] means that you multiply 3.07 by [tex]\(10^{-4}\)[/tex].
- The exponent [tex]\(-4\)[/tex] indicates that the decimal point in the number 3.07 will move 4 places to the left.
2. Move the Decimal Point:
- Start with the number [tex]\(3.07\)[/tex].
- The decimal in 3.07 is right after the 3.
- Move the decimal point 4 places to the left:
- One place moves it to 0.307.
- Two places moves it to 0.0307.
- Three places moves it to 0.00307.
- Four places moves it to 0.000307.
3. Fill in with Zeros as Needed:
- As you move the decimal point to the left, you'll need to fill in any gaps with zeros.
- After moving 4 places left, the resulting number is 0.000307.
Therefore, the number [tex]\(3.07 \times 10^{-4}\)[/tex] written in standard form is [tex]\( \boxed{0.000307} \)[/tex].
