The Correct Answer and Explanation is:
Of course. Here is the correct answer and a detailed explanation.
Correct Answer: 6.6%
Explanation
To find Alicia’s score as a percentage, we need to follow a few key steps. The problem states she scored 8 out of a possible 121. We are asked to convert this score into a percentage and round it to one decimal place.
First, we express the score as a fraction. A fraction represents a part of a whole. In this case, Alicia’s score of 8 is the part, and the total possible score of 121 is the whole. This gives us the fraction 8/121.
Second, we convert this fraction into a decimal. To do this, we divide the numerator (the top number) by the denominator (the bottom number). So, we calculate 8 divided by 121. Performing this division gives us a decimal value.
8 ÷ 121 = 0.0661157…
It is important to keep several digits after the decimal point during this intermediate step to ensure the final rounded answer is accurate.
Third, we convert the decimal into a percentage. The term “percent” means “out of one hundred,” so we multiply the decimal by 100 to get its percentage equivalent.
0.0661157… × 100 = 6.61157…%
Finally, the problem requires the answer to be correct to one decimal place. To round the number 6.61157…% to one decimal place, we must look at the second digit after the decimal point. Here, the first decimal digit is 6, and the second is 1. The standard rule for rounding is that if the digit being examined is 5 or greater, we round the previous digit up. If it is 4 or less, we leave the previous digit as it is. Since the second decimal digit is 1, which is less than 5, we do not round up the first decimal digit.
Therefore, we keep the first decimal digit as 6, which gives us a final answer of 6.6%.