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Convert the following number into correct scientific notation.

[tex]\[
\begin{array}{l}
78.3 \times 10^{11} \\
{[?] \times 10^{[?]}}
\end{array}
\][/tex]

Enter the coefficient in the green box and the exponent in the yellow box.

Coefficient: [tex]$\boxed{7.83}$[/tex]

Exponent: [tex]$\boxed{12}$[/tex]

Sagot :

GinnyAnsweridn
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)
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