lesson 5.1 extra practice
write the percent as a decimal or the decimal as a percent. use a model to represent the number.
1. 81% 2. 0.91 3. 5% 4. 8%
5. 0.3% 6. 78% 7. 0.167 8. 0.293
9. 3.82 10. 210% 11. 100.8% 12. 0.125
13. your friend writes 1.475% as a decimal. is your friend correct? explain your reasoning.
1.475% = 1.475 = 147.5
write the fraction as a decimal and a percent.
14. $\frac{1}{4}$ 15. $\frac{4}{3}$ 16. $\frac{3}{5}$ 17. $\frac{7}{10}$
18. $\frac{1}{150}$ 19. $\frac{7}{25}$ 20. $\frac{2}{11}$ 21. $\frac{14}{5}$
22. $\frac{5}{9}$ 23. $\frac{13}{20}$ 24. $\frac{2}{25}$ 25. $\frac{10}{3}$
26. fifty - four percent of the students in your class have moved at least one time. write this percent as a decimal.
27. only 0.15 of the total number of vehicles in your school parking lot are buses. what percent of the vehicles are buses?
28. you spent 0.88 of your allowance this week. what percent of your allowance did you spend?
29. on a history test, you get $\frac{43}{50}$ of the possible points. write a decimal and a percent that represent your score.
30. of the fluid that you drink on a typical day, $\frac{1}{10}$ is milk and 50% is water. how many times more water do you drink than milk?

Question

lesson 5.1 extra practice
write the percent as a decimal or the decimal as a percent. use a model to represent the number.
1. 81%  2. 0.91  3. 5%  4. 8%
5. 0.3%  6. 78%  7. 0.167  8. 0.293
9. 3.82  10. 210%  11. 100.8%  12. 0.125
13. your friend writes 1.475% as a decimal. is your friend correct? explain your reasoning.
1.475% = 1.475 = 147.5
write the fraction as a decimal and a percent.
14. $\frac{1}{4}$  15. $\frac{4}{3}$  16. $\frac{3}{5}$  17. $\frac{7}{10}$
18. $\frac{1}{150}$  19. $\frac{7}{25}$  20. $\frac{2}{11}$  21. $\frac{14}{5}$
22. $\frac{5}{9}$  23. $\frac{13}{20}$  24. $\frac{2}{25}$  25. $\frac{10}{3}$
26. fifty - four percent of the students in your class have moved at least one time. write this percent as a decimal.
27. only 0.15 of the total number of vehicles in your school parking lot are buses. what percent of the vehicles are buses?
28. you spent 0.88 of your allowance this week. what percent of your allowance did you spend?
29. on a history test, you get $\frac{43}{50}$ of the possible points. write a decimal and a percent that represent your score.
30. of the fluid that you drink on a typical day, $\frac{1}{10}$ is milk and 50% is water. how many times more water do you drink than milk?

Accepted Answer

Since there are multiple sub - questions, we'll solve them one by one using the Step - by - Step format.

### Question 1: Write 81% as a decimal
# Explanation:
## Step 1: Recall the rule for converting percent to decimal
To convert a percent to a decimal, we divide the percent value by 100 (which is equivalent to moving the decimal point two places to the left).
So for 81%, we perform the operation $81\div100$.
## Step 2: Perform the division
$81\div100 = 0.81$
# Answer:
0.81

### Question 2: Write 0.91 as a percent
# Explanation:
## Step 1: Recall the rule for converting decimal to percent
To convert a decimal to a percent, we multiply the decimal by 100 (which is equivalent to moving the decimal point two places to the right) and add the percent sign.
So for 0.91, we perform the operation $0.91	imes100$.
## Step 2: Perform the multiplication
$0.91	imes100=91$
So 0.91 as a percent is 91%.
# Answer:
91%

### Question 3: Write 5% as a decimal
# Explanation:
## Step 1: Recall the percent - to - decimal rule
Divide the percent value by 100. For 5%, we do $5\div100$.
## Step 2: Perform the division
$5\div100 = 0.05$
# Answer:
0.05

### Question 4: Write 8% as a decimal
# Explanation:
## Step 1: Apply the percent - to - decimal rule
Divide 8 by 100, i.e., $8\div100$.
## Step 2: Calculate the result
$8\div100 = 0.08$
# Answer:
0.08

### Question 5: Write 0.3% as a decimal
# Explanation:
## Step 1: Use the percent - to - decimal conversion
Divide 0.3 by 100, so we have $0.3\div100$.
## Step 2: Do the division
$0.3\div100=0.003$
# Answer:
0.003

### Question 6: Write 78% as a decimal
# Explanation:
## Step 1: Follow the percent - to - decimal rule
Divide 78 by 100, which is $78\div100$.
## Step 2: Compute the value
$78\div100 = 0.78$
# Answer:
0.78

### Question 7: Write 0.167 as a percent
# Explanation:
## Step 1: Recall the decimal - to - percent rule
Multiply 0.167 by 100, so $0.167	imes100$.
## Step 2: Perform the multiplication
$0.167	imes100 = 16.7$
So 0.167 as a percent is 16.7%.
# Answer:
16.7%

### Question 8: Write 0.293 as a percent
# Explanation:
## Step 1: Apply the decimal - to - percent rule
Multiply 0.293 by 100, i.e., $0.293	imes100$.
## Step 2: Calculate the product
$0.293	imes100=29.3$
So 0.293 as a percent is 29.3%.
# Answer:
29.3%

### Question 9: Write 3.82 as a percent
# Explanation:
## Step 1: Use the decimal - to - percent rule
Multiply 3.82 by 100, so $3.82	imes100$.
## Step 2: Do the multiplication
$3.82	imes100 = 382$
So 3.82 as a percent is 382%.
# Answer:
382%

### Question 10: Write 210% as a decimal
# Explanation:
## Step 1: Recall the percent - to - decimal rule
Divide 210 by 100, i.e., $210\div100$.
## Step 2: Perform the division
$210\div100=2.1$
# Answer:
2.1

### Question 11: Write 100.8% as a decimal
# Explanation:
## Step 1: Apply the percent - to - decimal rule
Divide 100.8 by 100, so $100.8\div100$.
## Step 2: Calculate the result
$100.8\div100 = 1.008$
# Answer:
1.008

### Question 12: Write 0.125 as a percent
# Explanation:
## Step 1: Recall the decimal - to - percent rule
Multiply 0.125 by 100, i.e., $0.125	imes100$.
## Step 2: Perform the multiplication
$0.125	imes100 = 12.5$
So 0.125 as a percent is 12.5%.
# Answer:
12.5%

### Question 13: Analyze the friend's calculation of 1.475% as a decimal
# Explanation:
## Step 1: Recall the correct percent - to - decimal rule
To convert a percent to a decimal, we divide the percent value by 100. For 1.475%, the correct operation is $1.475\div100$.
## Step 2: Calculate the correct value
$1.475\div100=0.01475$
The friend's calculation was wrong. The friend seems to have multiplied by 100 instead of dividing by 100.
# Answer:
The friend is incorrect. To convert 1.475% to a decimal, we divide 1.475 by 100, getting 0.01475, not 147.5.

### Question 14: Write $\frac{1}{4}$ as a decimal and a percent
# Explanation:
## Step 1: Convert fraction to decimal
To convert $\frac{1}{4}$ to a decimal, we perform the division $1\div4$.
$1\div4 = 0.25$
## Step 2: Convert decimal to percent
To convert 0.25 to a percent, we multiply by 100: $0.25	imes100 = 25\%$
# Answer:
Decimal: 0.25; Percent: 25%

### Question 15: Write $\frac{4}{3}$ as a decimal and a percent
# Explanation:
## Step 1: Convert fraction to decimal
Perform the division $4\div3\approx1.333$ (rounded to three decimal places)
## Step 2: Convert decimal to percent
Multiply 1.333 by 100: $1.333	imes100 = 133.3\%$ (rounded to one decimal place)
# Answer:
Decimal: $\approx1.333$; Percent: $\approx133.3\%$

### Question 16: Write $\frac{3}{5}$ as a decimal and a percent
# Explanation:
## Step 1: Convert fraction to decimal
Perform $3\div5 = 0.6$
## Step 2: Convert decimal to percent
Multiply 0.6 by 100: $0.6	imes100=60\%$
# Answer:
Decimal: 0.6; Percent: 60%

### Question 17: Write $\frac{7}{10}$ as a decimal and a percent
# Explanation:
## Step 1: Convert fraction to decimal
$7\div10 = 0.7$
## Step 2: Convert decimal to percent
$0.7	imes100 = 70\%$
# Answer:
Decimal: 0.7; Percent: 70%

### Question 18: Write $\frac{1}{150}$ as a decimal and a percent
# Explanation:
## Step 1: Convert fraction to decimal
Perform $1\div150\approx0.0067$ (rounded to four decimal places)
## Step 2: Convert decimal to percent
Multiply 0.0067 by 100: $0.0067	imes100 = 0.67\%$ (rounded to two decimal places)
# Answer:
Decimal: $\approx0.0067$; Percent: $\approx0.67\%$

### Question 19: Write $\frac{7}{25}$ as a decimal and a percent
# Explanation:
## Step 1: Convert fraction to decimal
We can rewrite $\frac{7}{25}$ with a denominator of 100. Multiply numerator and denominator by 4: $\frac{7	imes4}{25	imes4}=\frac{28}{100}=0.28$
Or perform the division $7\div25 = 0.28$
## Step 2: Convert decimal to percent
$0.28	imes100 = 28\%$
# Answer:
Decimal: 0.28; Percent: 28%

### Question 20: Write $\frac{2}{11}$ as a decimal and a percent
# Explanation:
## Step 1: Convert fraction to decimal
Perform $2\div11\approx0.182$ (rounded to three decimal places)
## Step 2: Convert decimal to percent
Multiply 0.182 by 100: $0.182	imes100 = 18.2\%$ (rounded to one decimal place)
# Answer:
Decimal: $\approx0.182$; Percent: $\approx18.2\%$

### Question 21: Write $\frac{14}{5}$ as a decimal and a percent
# Explanation:
## Step 1: Convert fraction to decimal
Perform $14\div5 = 2.8$
## Step 2: Convert decimal to percent
Multiply 2.8 by 100: $2.8	imes100 = 280\%$
# Answer:
Decimal: 2.8; Percent: 280%

### Question 22: Write $\frac{5}{9}$ as a decimal and a percent
# Explanation:
## Step 1: Convert fraction to decimal
Perform $5\div9\approx0.556$ (rounded to three decimal places)
## Step 2: Convert decimal to percent
Multiply 0.556 by 100: $0.556	imes100 = 55.6\%$ (rounded to one decimal place)
# Answer:
Decimal: $\approx0.556$; Percent: $\approx55.6\%$

### Question 23: Write $\frac{13}{20}$ as a decimal and a percent
# Explanation:
## Step 1: Convert fraction to decimal
We can rewrite $\frac{13}{20}$ with a denominator of 100. Multiply numerator and denominator by 5: $\frac{13	imes5}{20	imes5}=\frac{65}{100}=0.65$
Or perform the division $13\div20 = 0.65$
## Step 2: Convert decimal to percent
$0.65	imes100 = 65\%$
# Answer:
Decimal: 0.65; Percent: 65%

### Question 24: Write $\frac{2}{25}$ as a decimal and a percent
# Explanation:
## Step 1: Convert fraction to decimal
Rewrite $\frac{2}{25}$ with a denominator of 100. Multiply numerator and denominator by 4: $\frac{2	imes4}{25	imes4}=\frac{8}{100}=0.08$
Or perform the division $2\div25 = 0.08$
## Step 2: Convert decimal to percent
$0.08	imes100 = 8\%$
# Answer:
Decimal: 0.08; Percent: 8%

### Question 25: Write $\frac{10}{3}$ as a decimal and a percent
# Explanation:
## Step 1: Convert fraction to decimal
Perform $10\div3\approx3.333$ (rounded to three decimal places)
## Step 2: Convert decimal to percent
Multiply 3.333 by 100: $3.333	imes100 = 333.3\%$ (rounded to one decimal place)
# Answer:
Decimal: $\approx3.333$; Percent: $\approx333.3\%$

### Question 26: Write 54% as a decimal
# Explanation:
## Step 1: Recall the percent - to - decimal rule
Divide 54 by 100, i.e., $54\div100$.
## Step 2: Perform the division
$54\div100 = 0.54$
# Answer:
0.54

### Question 27: Find what percent 0.15 is (of the total number of vehicles)
# Explanation:
## Step 1: Recall the decimal - to - percent rule
To convert a decimal to a percent, multiply the decimal by 100. So for 0.15, we do $0.15	imes100$.
## Step 2: Perform the multiplication
$0.15	imes100 = 15$
So 0.15 as a percent is 15%.
# Answer:
15%

### Question 28: Find what percent 0.88 is (of the allowance)
# Explanation:
## Step 1: Recall the decimal - to - percent rule
Multiply 0.88 by 100, i.e., $0.88	imes100$.
## Step 2: Perform the multiplication
$0.88	imes100 = 88$
So 0.88 as a percent is 88%.
# Answer:
88%

### Question 29: Write $\frac{43}{50}$ as a decimal and a percent
# Explanation:
## Step 1: Convert fraction to decimal
We can rewrite $\frac{43}{50}$ with a denominator of 100. Multiply numerator and denominator by 2: $\frac{43	imes2}{50	imes2}=\frac{86}{100}=0.86$
Or perform the division $43\div50 = 0.86$
## Step 2: Convert decimal to percent
$0.86	imes100 = 86\%$
# Answer:
Decimal: 0.86; Percent: 86%

### Question 30: Find how many times more water is drunk than milk
# Explanation:
## Step 1: Convert the fraction and percent to decimals
Milk: $\frac{1}{10}=0.1$
Water: 50% = 0.5
## Step 2: Find the ratio of water to milk
To find how many times more water is drunk than milk, we divide the decimal representing water by the decimal representing milk: $0.5\div0.1$.
## Step 3: Perform the division
$0.5\div0.1 = 5$
# Answer:
5

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Question 1: Write 81% as a decimal

Step 1: Recall the rule for converting percent to decimal

Step 2: Perform the division

Step 1: Recall the rule for converting decimal to percent

Step 2: Perform the multiplication

Step 1: Recall the percent - to - decimal rule

Step 2: Perform the division

Answer:

Question 2: Write 0.91 as a percent