practice and problem solving
compare. write <, >, or =.

9% □ 0.9 37. 45% □ \$\frac{2}{5}\$ 38. 0.037 □ 37% 39. \$\frac{7}{12}\$ □ 60%

life science rain forests are home to 90,000 of the 250,000 identified plant species in the world. what percent of the world’s identified plant species are found in rain forests?

multi - step one - half of the 900 students at jefferson middle school are boys. one - tenth of the boys are in the band, and one - fifth of those play the trumpet. what percent of the students at jefferson are boys who play the trumpet in the band?

use the table for exercises 42–45.
north carolina men’s basketball championship appearances

school name portion of games won
dudley 0.6
north mecklenburg 0.3
wakefield 1.0
wallace - rose hill 0.\$\overline{6}\$

what percent of the championship appearances did dudley win?

write the schools in order from least portion of games won to greatest portion of games won.

which school won 5 out of 6 games?

estimate the percent of the games wallace - rose hill lost.

what’s the error? a student wrote \$\frac{2}{5}\$ as 0.4%. what was the error?

write about it describe two ways to change a fraction to a percent.

challenge a desert area’s average rainfall is 12 inches a year. this year the area received 15 inches of rain. what percent of the average rainfall amount is 15 inches?

test prep

multiple choice which value is not equivalent to 45%?

a \$\frac{9}{20}\$ b 0.45 c \$\frac{45}{100}\$ d 0.045

short response melanie’s room measures 10 ft by 12 ft. her rug covers 90 ft². explain how to determine the percent of floor covered by the rug.

Question

practice and problem solving
compare. write <, >, or =.
36. 9% □ 0.9  37. 45% □ $\frac{2}{5}$  38. 0.037 □ 37%  39. $\frac{7}{12}$ □ 60%
40. life science rain forests are home to 90,000 of the 250,000 identified plant species in the world. what percent of the world’s identified plant species are found in rain forests?
41. multi - step one - half of the 900 students at jefferson middle school are boys. one - tenth of the boys are in the band, and one - fifth of those play the trumpet. what percent of the students at jefferson are boys who play the trumpet in the band?
use the table for exercises 42–45.
north carolina men’s basketball championship appearances
|school name|portion of games won|
|----|----|
|cummings|0.83|
|dudley|0.6|
|north mecklenburg|0.3|
|wakefield|1.0|
|wallace - rose hill|0.$\overline{6}$|
42. what percent of the championship appearances did dudley win?
43. write the schools in order from least portion of games won to greatest portion of games won.
44. which school won 5 out of 6 games?
45. estimate the percent of the games wallace - rose hill lost.
46. what’s the error? a student wrote $\frac{2}{5}$ as 0.4%. what was the error?
47. write about it describe two ways to change a fraction to a percent.
48. challenge a desert area’s average rainfall is 12 inches a year. this year the area received 15 inches of rain. what percent of the average rainfall amount is 15 inches?
test prep
49. multiple choice which value is not equivalent to 45%?
a $\frac{9}{20}$  b 0.45  c $\frac{45}{100}$  d 0.045
50. short response melanie’s room measures 10 ft by 12 ft. her rug covers 90 ft². explain how to determine the percent of floor covered by the rug.

Accepted Answer

### Exercice 36 # Explanation: ## Step1: Convert % to decimal $9\% = \frac{9}{100} = 0.09$ ## Step2: Compare values $0.09 < 0.9$ # Answer: $<$ --- ### Exercice 37 # Explanation: ## Step1: Convert % to fraction $45\% = \frac{45}{100} = \frac{9}{20}$ ## Step2: Convert $\frac{2}{5}$ to 20 denominator $\frac{2}{5} = \frac{8}{20}$ ## Step3: Compare fractions $\frac{9}{20} > \frac{8}{20}$ # Answer: $>$ --- ### Exercice 38 # Explanation: ## Step1: Convert % to decimal $37\% = \frac{37}{100} = 0.37$ ## Step2: Compare values $0.037 < 0.37$ # Answer: $<$ --- ### Exercice 39 # Explanation: ## Step1: Convert fraction to decimal $\frac{7}{12} \approx 0.583$ ## Step2: Convert % to decimal $60\% = \frac{60}{100} = 0.6$ ## Step3: Compare values $0.583 < 0.6$ # Answer: $<$ --- ### Exercice 40 # Explanation: ## Step1: Set up percentage formula $ ext{Pourcentage} = \frac{ ext{Espèces de forêts tropicales}}{ ext{Total des espèces}} imes 100$ ## Step2: Substitute values $ ext{Pourcentage} = \frac{90000}{250000} imes 100$ ## Step3: Calculate result $\frac{90000}{250000} = 0.36 \implies 0.36 imes 100 = 36$ # Answer: $36\%$ --- ### Exercice 41 # Explanation: ## Step1: Find number of boys $\frac{1}{2} imes 900 = 450$ ## Step2: Find boys who play trumpet $\frac{1}{5} imes 450 = 90$ ## Step3: Calculate percentage $\frac{90}{900} imes 100 = 10$ # Answer: $10\%$ --- ### Exercice 42 # Explanation: ## Step1: Convert portion to percentage $0.6 imes 100 = 60$ # Answer: $60\%$ --- ### Exercice 43 # Explanation: ## Step1: List all portion values $0.3, 0.6, 0.\overline{6}, 0.83, 1.0$ ## Step2: Match to schools North Mecklenburg (0.3), Dudley (0.6), Wallace-Rose Hill ($0.\overline{6}$), Cummings (0.83), Wakefield (1.0) # Answer: North Mecklenburg, Dudley, Wallace-Rose Hill, Cummings, Wakefield --- ### Exercice 44 # Explanation: ## Step1: Calculate portion of wins $\frac{5}{6} \approx 0.83$ ## Step2: Match to table value Cummings has a portion of 0.83 # Answer: Cummings --- ### Exercice 45 # Explanation: ## Step1: Find lost portion $1 - 0.\overline{6} = 0.\overline{3}$ ## Step2: Convert to percentage $0.\overline{3} imes 100 \approx 33.3$ # Answer: $\approx 33.3\%$ --- ### Exercice 46 # Answer-Explanation Format # Brief Explanations: L'étudiant a confondu la conversion de fraction en pourcentage : $\frac{2}{5}$ équivaut à $0.4$, soit $40\%$, pas $0.4\%$. L'erreur vient de ne pas multiplier le résultat décimal par 100 pour obtenir le pourcentage. # Answer: L'étudiant a écrit $0.4\%$ au lieu de $40\%$ ; il n'a pas multiplié le résultat décimal par 100. --- ### Exercice 47 # Answer-Explanation Format # Brief Explanations: 1. **Méthode 1** : Multiplier la fraction par 100 et ajouter le symbole %. Exemple : $\frac{3}{4} imes 100 = 75\%$. 2. **Méthode 2** : Convertir la fraction en nombre décimal (diviser le numérateur par le dénominateur), puis multiplier par 100 et ajouter le symbole %. Exemple : $\frac{3}{4} = 0.75 \implies 0.75 imes 100 = 75\%$. # Answer: 1. Multiplier la fraction par 100 et ajouter % ; 2. Convertir la fraction en décimal, multiplier par 100 et ajouter %. --- ### Exercice 48 # Explanation: ## Step1: Set up percentage formula $ ext{Pourcentage} = \frac{ ext{Précipitations de cette année}}{ ext{Moyenne annuelle}} imes 100$ ## Step2: Substitute values $ ext{Pourcentage} = \frac{15}{12} imes 100$ ## Step3: Calculate result $\frac{15}{12} = 1.25 \implies 1.25 imes 100 = 125$ # Answer: $125\%$ --- ### Exercice 49 # Answer-Explanation Format # Brief Explanations: - $\frac{9}{20} = 0.45 = 45\%$ - $0.45 = 45\%$ - $\frac{45}{100} = 45\%$ - $0.045 = 4.5\% eq 45\%$ # Answer: D. 0.045 --- ### Exercice 50 # Answer-Explanation Format # Brief Explanations: 1. Calculer la superficie totale du sol : $10 imes 12 = 120$ pieds carrés. 2. Diviser la superficie du tapis par la superficie totale du sol, puis multiplier par 100 pour obtenir le pourcentage. # Answer: 1. Calculer la superficie totale de la pièce : $10 imes 12 = 120$ $ft^2$. 2. Calculer le pourcentage : $\frac{90}{120} imes 100 = 75\%$. Le tapis couvre 75% du sol.

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QUESTION IMAGE

Question

Explanation:

Exercice 36

Step1: Convert % to decimal

Step2: Compare values

Step1: Convert % to fraction

Step2: Convert $\frac{2}{5}$ to 20 denominator

Step3: Compare fractions

Step1: Convert % to decimal

Step2: Compare values

Answer:

Exercice 37

school name	portion of games won
dudley	0.6
north mecklenburg	0.3
wakefield	1.0
wallace - rose hill	0.\\(\overline{6}\\)