To convert the number [tex]\( 0.0602 \times 10^{25} \)[/tex] into correct scientific notation, follow these steps:
1. Identify the Original Number and Its Exponent:
- The original number is 0.0602.
- The exponent is 25.
2. Convert the Number into Standard Scientific Notation Form:
- In scientific notation, the coefficient (the part of the number before the multiplication sign) must be between 1 and 10.
3. Adjust the Coefficient:
- [tex]\( 0.0602 \)[/tex] is less than 1, so we need to make the coefficient fall between 1 and 10.
- To do this, move the decimal point two places to the right: [tex]\( 0.0602 \)[/tex] becomes [tex]\( 6.02 \)[/tex].
4. Adjust the Exponent:
- Since we moved the decimal point to the right, we need to decrease the original exponent accordingly.
- We moved the decimal point 2 places to the right, so we subtract 2 from the exponent:
[tex]\[
25 - 2 = 23
\][/tex]
5. Combine the Adjusted Coefficient and Exponent:
- The adjusted coefficient is [tex]\( 6.02 \)[/tex].
- The adjusted exponent is [tex]\( 23 \)[/tex].
Thus, the correct scientific notation for [tex]\( 0.0602 \times 10^{25} \)[/tex] is:
[tex]\[
6.02 \times 10^{23}
\][/tex]
So,
- The coefficient to enter in the green box is [tex]\( 6.02 \)[/tex].
- The exponent to enter in the yellow box is [tex]\( 23 \)[/tex].
