Question

1. which value is 0.3 expressed as a percentage?

a. 3%
b. 0.03%
c. 30%
d. 0.003%

1. match each percent with its decimal equivalent.

a. 2.7% 0.207
b. 20.7% 2.7
c. 270% 0.0207
d. 2.07% 0.27
e. 27% 0.027

problems 3–6: determine the missing values in each row.

percent (%)	decimal	fraction

1. 120 | | |
2. | 0.6 | \\(\frac{3}{5}\\) |
3. 80 | | |
4. | | \\(\frac{2}{5}\\) |

1. everly wants to find the percent equivalent to the decimal 2.9. everly states that she needs to multiply 2.9 by 100. is she correct? explain your thinking.

Explanation:

Question 1

Step1: Recall decimal to percent conversion

To convert a decimal to a percentage, multiply the decimal by 100 (or move the decimal point two places to the right).

Step2: Apply the conversion to 0.3

For \( 0.3 \), multiply by 100: \( 0.3\times100 = 30\% \).

To convert a percent to a decimal, divide the percent value by 100 (or move the decimal point two places to the left).

• For \( 2.7\% \): \( \frac{2.7}{100}=0.027 \)
• For \( 20.7\% \): \( \frac{20.7}{100} = 0.207 \)
• For \( 270\% \): \( \frac{270}{100}=2.7 \)
• For \( 2.07\% \): \( \frac{2.07}{100}=0.0207 \)
• For \( 27\% \): \( \frac{27}{100}=0.27 \)

Step1: Convert percent to decimal

To convert a percent to a decimal, divide by 100. For \( 120\% \), \( \frac{120}{100}=1.2 \).

Step2: Convert percent to fraction

\( 120\%=\frac{120}{100}=\frac{6}{5} \) (simplify by dividing numerator and denominator by 20).

Answer:

C. 30%

Question 2