To convert the number [tex]\(7.77 \times 10^{-4}\)[/tex] to standard notation, follow these steps:
1. Understand the scientific notation:
- The coefficient is [tex]\(7.77\)[/tex].
- The exponent is [tex]\(-4\)[/tex], indicating that the decimal point should be moved 4 places to the left.
2. Move the decimal point:
- Start with the number [tex]\(7.77\)[/tex].
- Moving the decimal point 4 places to the left, you insert zeros as needed.
Here’s the detailed movement:
- Original number: 7.77
- Move the decimal point one place to the left: 0.777
- Move the decimal point another place to the left: 0.0777
- Move the decimal point a third place to the left: 0.00777
- Move the decimal point a fourth place to the left: 0.000777
3. Write the result:
- After moving the decimal point 4 places to the left, the number in standard notation is [tex]\(0.000777\)[/tex].
Thus, the number [tex]\(7.77 \times 10^{-4}\)[/tex] in standard notation is [tex]\(0.000777\)[/tex].
