Lesson 7.3

Percents and Decimals

Essential Question: How do you decimals to solve percent problems?

Before we start…

Write as a percent.

Write as a decimal.

How do I convert …

a percent to a decimal?

Divide by 100

Move the decimal point two places to the left a decimal to a percent?

Multiply by 100

Move the decimal point two places to the right

Small and Large Percents

Percents less than 1% represent numbers less than 0.01 or .

Percents greater than 100% represent numbers greater than 1.

Write the percent as a decimal.

65%

250%

0.3%

Write the percent as a decimal.

75%

0.4%

168%

Write the percent as a decimal.

0.55%

184%

3%

Write the decimal as a percent.

0.62

1

2.3

Write the decimal as a percent.

0.07

1.9

0.461

Write the decimal as a percent.

0.08

0.578

2.14

How do you decimals to solve percent problems?

• Convert the percent to a decimal.• Solve.

Pygmy Hippos The African pygmy hippo is the smallest species of hippopotamus. Suppose a common adult hippo weighs 5600 pounds, and an adult pygmy hippo’s weight is 10.5% of the common adult hippo’s weight. How much does the adult pygmy hippo weigh?

Cooking In a survey of 1100 adults, 2% chose cooking as their favorite leisure activity. How many adults chose cooking?

Parasailing About 5.2% of the 8460 visitors to a tropical resort last month registered to try parasailing. Approximately how many visitors registered for parasailing?

Human Blood The average adult has 10 to 12 pints of blood. Human blood is 83% water. How many pints of water are in 11 pints of human blood?

Day of Dread In a survey of 1300 adults, 18% said the day they dread the most is Monday. How many adults chose Monday?

Raffle Tickets A total of 400 tickets were sold for a raffle. The probability that you will win the prize is 8%. How many of the raffle tickets did you buy?

Books In a survey of 900 people making a purchase at a book store, 14% preferred hardcover books and 42% preferred soft cover books. How many more people preferred soft cover books than hardcover books?

How do you decimals to solve percent problems?

Ticket Out the Door

Find 14% of 70.