To express the number 0.937000000 in scientific notation, follow these steps:
1. Identify the Decimal Value:
The given decimal value is 0.937000000.
2. Normalize the Number:
To write the number in scientific notation, we need to represent it as a product of a number between 1 and 10, and a power of 10.
Move the decimal point to the right until the number is between 1 and 10:
- For 0.937000000, we move the decimal point one place to the right to get 9.37.
3. Determine the Power of 10:
- After moving the decimal point one place to the right, we multiply by 10 raised to the power of -1 to compensate for this shift (since we made the number larger by one decimal place shift).
- Thus, the number 0.937000000 can be written as [tex]\(9.37 \times 10^{-1}\)[/tex].
4. Choose the Correct Option:
- Among the given options, [tex]$9.37 \times 10^{\wedge}-1$[/tex] is the correct expression in scientific notation.
In conclusion, the scientific notation for 0.937000000 is [tex]\(9.37 \times 10^{-1}\)[/tex]. Thus, the correct option is:
[tex]\[ \boxed{4.} \][/tex]
