To convert the number [tex]\(0.0602 \times 10^{25}\)[/tex] into correct scientific notation, follow these steps:
1. Identify the given number: The number provided is [tex]\(0.0602\)[/tex], and the exponent is [tex]\(25\)[/tex].
2. Normalize the coefficient: In scientific notation, the coefficient must be a number between 1 and 10. So, we need to shift the decimal point of [tex]\(0.0602\)[/tex] to the right such that we have a number in this range. Moving the decimal point two places to the right, we get [tex]\(6.02\)[/tex].
3. Adjust the exponent accordingly: Since we moved the decimal point two places to the right, we have effectively multiplied the coefficient by [tex]\(10^2\)[/tex]. To maintain the equality, we need to subtract 2 from the original exponent:
[tex]\[
\text{New exponent} = 25 - 2 = 23.
\][/tex]
4. Combine the coefficient and the new exponent to express in scientific notation:
[tex]\[
6.02 \times 10^{23}
\][/tex]
Thus, the correct scientific notation for [tex]\(0.0602 \times 10^{25}\)[/tex] is:
- Coefficient: [tex]\(6.02\)[/tex]
- Exponent: [tex]\(23\)[/tex]
So, enter [tex]\(6.02\)[/tex] in the green box and [tex]\(23\)[/tex] in the yellow box.
