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

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

percent (%)	decimal	fraction
4.	0.6	\\(\frac{3}{5}\\)
5. 80
6.		\\(\frac{2}{5}\\)

1. everly wants to find the percent equivalent to the decimal 2.9. everly states 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).
For \( 0.3 \), multiply by 100: \( 0.3\times100 = 30 \), so \( 0.3 = 30\% \).

Step1: Convert percent to decimal (divide by 100)

• For \( 2.7\% \): \( 2.7\div100 = 0.027 \)
• For \( 20.7\% \): \( 20.7\div100 = 0.207 \)
• For \( 270\% \): \( 270\div100 = 2.7 \)
• For \( 2.07\% \): \( 2.07\div100 = 0.0207 \)
• For \( 27\% \): \( 27\div100 = 0.27 \)

Step2: Match each percent

• \( 2.7\% \) matches \( 0.027 \)
• \( 20.7\% \) matches \( 0.207 \)
• \( 270\% \) matches \( 2.7 \)
• \( 2.07\% \) matches \( 0.0207 \)
• \( 27\% \) matches \( 0.27 \)

Step1: Percent to Decimal

To convert \( 120\% \) to decimal, divide by 100: \( 120\div100 = 1.2 \)

Step2: Percent to Fraction

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

Answer:

C. 30%

Question 2