To convert [tex]\(78.3 \times 10^{11}\)[/tex] into correct scientific notation, we need to ensure that the coefficient is a number between 1 and 10.
### Step-by-Step Solution:
1. Original Number: [tex]\(78.3 \times 10^{11}\)[/tex]
2. Adjust the Coefficient:
- We need to express [tex]\(78.3\)[/tex] as a number between 1 and 10.
- To do this, we divide [tex]\(78.3\)[/tex] by 10, which gives us [tex]\(7.83\)[/tex].
3. Adjust the Exponent:
- Dividing [tex]\(78.3\)[/tex] by 10 essentially means we have shifted the decimal place one position to the left. To balance this, we need to increase the exponent by 1.
- The original exponent was [tex]\(11\)[/tex]. After increasing it by 1, the new exponent becomes [tex]\(11 + 1 = 12\)[/tex].
Therefore, the correct scientific notation is:
[tex]\[
7.83 \times 10^{12}
\][/tex]
Coefficient: [tex]\(7.83\)[/tex] (Enter this in the green box)
Exponent: [tex]\(12\)[/tex] (Enter this in the yellow box)
