Question

1. order the numbers from least to greatest.

\\(\frac{11}{500}\\), 21\\%, 0.211, \\(\frac{11}{50}\\)

answer:

1. write each fraction as a percent and decimal

a. \\(\frac{6}{25}\\) = \\(\underline{\quad\quad\quad\quad\quad}\\) = \\(\underline{\quad\quad\quad\quad\quad}\\)
b. \\(\frac{3}{20}\\) = \\(\underline{\quad\quad\quad\quad\quad}\\) = \\(\underline{\quad\quad\quad\quad\quad}\\)

Explanation:

Question 10:

Step1: Convert to decimals

• $\frac{11}{500} = 11\div500 = 0.022$
• $21\% = 0.21$
• $0.211$ (already decimal)
• $\frac{11}{50} = 11\div50 = 0.22$

Step2: Order decimals

Compare $0.022$, $0.21$, $0.211$, $0.22$.
Order: $0.022 < 0.21 < 0.211 < 0.22$

Step3: Map back to original

Substitute back: $\frac{11}{500} < 21\% < 0.211 < \frac{11}{50}$

Step1: Convert to decimal

$\frac{6}{25} = 6\div25 = 0.24$

Step2: Convert to percent

$0.24 \times 100\% = 24\%$

Step1: Convert to decimal

$\frac{3}{20} = 3\div20 = 0.15$

Step2: Convert to percent

$0.15 \times 100\% = 15\%$

Answer:

$\boldsymbol{\frac{11}{500}, 21\%, 0.211, \frac{11}{50}}$

Question 12a: