To convert the number [tex]\( 0.0602 \times 10^{25} \)[/tex] into correct scientific notation, we need to ensure that the coefficient is a number between 1 and 10. Here’s a step-by-step process to achieve that:
1. Start with the original number: [tex]\( 0.0602 \times 10^{25} \)[/tex].
2. Move the decimal point in 0.0602 one place to the right to get a coefficient between 1 and 10. This gives us 0.602.
3. Because we moved the decimal point one place to the right, we need to adjust the exponent down by one to balance the equation. The original exponent was 25, so subtract 1 from it, resulting in 24.
4. Now, rewrite the number in scientific notation by combining the new coefficient and the adjusted exponent: [tex]\( 0.602 \times 10^{24} \)[/tex].
So, the correct scientific notation for [tex]\( 0.0602 \times 10^{25} \)[/tex] is:
[tex]\[ 0.602 \times 10^{24} \][/tex]
Thus, the coefficient is [tex]\( \boxed{0.602} \)[/tex] and the exponent is [tex]\( \boxed{24} \)[/tex].
