Question

1. demetrius says that because percent means \out of 100,\ he needs to multiply 3.7 by $\frac{1}{100}$ to write a percentage that is equivalent to 3.7. help demetrius understand his mistake.

Explanation:

Step1: Recall percentage - conversion rule

To convert a number to a percentage, we multiply by 100, not $\frac{1}{100}$.

Step2: Correct conversion for 3.7

To convert 3.7 to a percentage, we calculate $3.7\times100 = 370\%$. Demetrius multiplied by the wrong factor. Multiplying by $\frac{1}{100}$ gives $3.7\times\frac{1}{100}=0.037$, which is not equivalent to 3.7.

Answer:

Demetrius should multiply 3.7 by 100 to get 370% as the equivalent percentage. He made a mistake by multiplying by $\frac{1}{100}$ instead of 100.