Decimals Fractions
1. The problem asks to convert the mixed number $8 \frac{8}{100}$ to a decimal.
2. Recall that $\frac{8}{100} = 0.08$, so the mixed number is $8 + 0.08 = 8.08$.
3. Among the options, $8.03$ is closest but not correct; none exactly match $8.08$. The closest correct decimal is $8.08$, so none of the options are exactly right, but $8.03$ is the closest.
4. For question 2, convert $0.5$ to a fraction. Since $0.5 = \frac{5}{10}$, the equivalent fraction is $\frac{5}{10}$.
5. For question 3, convert $75 \frac{2}{100}$ to decimal. The fraction $\frac{2}{100} = 0.02$, so the decimal is $75 + 0.02 = 75.02$. None of the options exactly match $75.02$, but $75.1$ is closest.
6. For question 4, check which fraction and decimal are not equivalent.
- $0.02 = \frac{2}{100}$ is true.
- $0.58 = \frac{58}{100}$ is true.
- $0.09 = \frac{9}{10}$ is false because $\frac{9}{10} = 0.9$.
- $0.2 = \frac{2}{10}$ is true.
So, option C is not equivalent.
7. For question 5, the decimal $2.8$ equals the mixed number $2 \frac{8}{10}$.
8. For question 6, $0.90$ as a fraction is $\frac{90}{100}$.
9. For question 7, $12.5$ as a mixed number is $12 \frac{5}{10}$.
Final answers:
1: None exactly, closest B (8.03)
2: B ($\frac{5}{10}$)
3: C (75.1)
4: C (not equivalent)
5: C ($2 \frac{8}{10}$)
6: D ($\frac{90}{100}$)
7: C ($12 \frac{5}{10}$)