Question

6-1 exercises
guided practice
see example 1 write each decimal as a percent.

1. 0.6
2. 0.32
3. 0.544
4. 0.06
5. 0.007

see example 2 write each fraction as a percent.

1. \\(\frac{1}{4}\\)
2. \\(\frac{3}{25}\\)
3. \\(\frac{11}{20}\\)
4. \\(\frac{7}{40}\\)
5. \\(\frac{5}{8}\\)

see example 3 order the numbers from least to greatest.

1. 0.5, 50%, \\(\frac{11}{20}\\)
2. \\(\frac{7}{8}\\), −0.9, 90%
3. 10%, 1%, −\\(\frac{1}{10}\\)
4. −0.8, \\(\frac{4}{5}\\), 8%
5. 72%, \\(\frac{35}{50}\\), 0.\\(\overline{6}\\)
6. −\\(\frac{1}{2}\\), 5%, −0.05

see example 4 17. decide whether using pencil and paper, mental math, or a calculator is most useful when solving the following problem. then solve.
in a survey, 50 students were asked whether they prefer pepperoni pizza or cheese pizza. twenty students said they prefer cheese pizza. what percent of the students surveyed said they prefer cheese pizza?
independent practice
see example 1 write each decimal as a percent.

1. 0.15
2. 0.83
3. 0.325
4. 0.081
5. 0.42

see example 2 write each fraction as a percent.

1. \\(\frac{3}{4}\\)
2. \\(\frac{2}{5}\\)
3. \\(\frac{3}{8}\\)
4. \\(\frac{3}{16}\\)
5. \\(\frac{7}{25}\\)

see example 3 order the numbers from least to greatest.

1. 0.\\(\overline{6}\\), 66%, \\(\frac{3}{5}\\)
2. −\\(\frac{2}{3}\\), −0.7, 7%
3. \\(\frac{8}{3}\\), 30%, 3
4. −0.1, 1%, −\\(\frac{1}{9}\\)
5. 2%, \\(\frac{5}{4}\\), 1.\\(\overline{1}\\)
6. −\\(\frac{1}{6}\\), −0.01, 2%

see example 4 decide whether using pencil and paper, mental math, or a calculator is most useful when solving each of the following problems. then solve.

1. in a theme - park survey, 75 visitors were asked whether they prefer the ferris wheel or the roller coaster. thirty visitors prefer the ferris wheel. what percent of the visitors surveyed said they prefer the ferris wheel?
2. in a survey, 65 students were asked whether they prefer television comedies or dramas. thirteen students prefer dramas. what percent of the students surveyed prefer dramas?

Explanation:

GUIDED PRACTICE

See Example 1

Step1: Décimal → % : ×100

$0.6 \times 100 = 60$

Step2: Ajouter le symbole %

60%

Step1: Décimal → % : ×100

$0.32 \times 100 = 32$

Step2: Ajouter le symbole %

32%

Step1: Décimal → % : ×100

$0.544 \times 100 = 54.4$

Step2: Ajouter le symbole %

54.4%

Step1: Décimal → % : ×100

$0.06 \times 100 = 6$

Step2: Ajouter le symbole %

6%

Step1: Décimal → % : ×100

$0.007 \times 100 = 0.7$

Step2: Ajouter le symbole %

0.7%

Step1: Fraction → décimal : diviser

$1 \div 4 = 0.25$

Step2: Décimal → % : ×100

$0.25 \times 100 = 25$

Step3: Ajouter le symbole %

25%

Step1: Fraction → décimal : diviser

$3 \div 25 = 0.12$

Step2: Décimal → % : ×100

$0.12 \times 100 = 12$

Step3: Ajouter le symbole %

12%

Step1: Fraction → décimal : diviser

$11 \div 20 = 0.55$

Step2: Décimal → % : ×100

$0.55 \times 100 = 55$

Step3: Ajouter le symbole %

55%

Step1: Fraction → décimal : diviser

$7 \div 40 = 0.175$

Step2: Décimal → % : ×100

$0.175 \times 100 = 17.5$

Step3: Ajouter le symbole %

17.5%

Step1: Fraction → décimal : diviser

$5 \div 8 = 0.625$

Step2: Décimal → % : ×100

$0.625 \times 100 = 62.5$

Step3: Ajouter le symbole %

62.5%

Step1: Tous en décimaux

$0.\overline{5}=0.555...$, $50\%=0.5$, $\frac{11}{20}=0.55$

Step2: Classer par ordre croissant

$0.5 < 0.55 < 0.555...$

Step3: Remplacer les valeurs initiales

$50\%, \frac{11}{20}, 0.\overline{5}$

Step1: Tous en décimaux

$\frac{7}{8}=0.875$, $-0.9=-0.9$, $90\%=0.9$

Step2: Classer par ordre croissant

$-0.9 < 0.875 < 0.9$

Step3: Remplacer les valeurs initiales

$-0.9, \frac{7}{8}, 90\%$

Step1: Tous en décimaux

$10\%=0.1$, $1\%=0.01$, $-\frac{1}{10}=-0.1$

Step2: Classer par ordre croissant

$-0.1 < 0.01 < 0.1$

Step3: Remplacer les valeurs initiales

$-\frac{1}{10}, 1\%, 10\%$

Step1: Tous en décimaux

$-0.8=-0.8$, $\frac{1}{4}=0.25$, $8\%=0.08$

Step2: Classer par ordre croissant

$-0.8 < 0.08 < 0.25$

Step3: Remplacer les valeurs initiales

$-0.8, 8\%, \frac{1}{4}$

Step1: Tous en décimaux

$72\%=0.72$, $\frac{35}{54}\approx0.648$, $0.\overline{6}=0.666...$

Step2: Classer par ordre croissant

$0.648 < 0.666... < 0.72$

Step3: Remplacer les valeurs initiales

$\frac{35}{54}, 0.\overline{6}, 72\%$

Step1: Tous en décimaux

$-\frac{1}{2}=-0.5$, $5\%=0.05$, $-0.05=-0.05$

Step2: Classer par ordre croissant

$-0.5 < -0.05 < 0.05$

Step3: Remplacer les valeurs initiales

$-\frac{1}{2}, -0.05, 5\%$

Answer:

1. 60%
2. 32%
3. 54.4%
4. 6%
5. 0.7%

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See Example 2