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Warm-Up Using Multiplication to Find Percents

Lesson Goals

Use estimation to check youranswer.

Find the percent of number.

Multiply by the

equivalent.

WK2

Lesson Question

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Words to Know

Write the letter of the definition next to the matching word as you work through the lesson. You may use the glossary to help you.

benchmark percent

estimation

percent

ratio

A. an expression that compares two or more numbers

B. a ratio that compares a number to 100

C. an approximate value used to determine reasonableness of given data

D. a common percent that is easy to work with, such as 50%, 25%, and 10%

Converting Percents to Decimals

Write 27% in form.

27% =

Percent Decimal

© Edgenuity, Inc. 2

Instruction

2Slide

Using Multiplication to Find Percents

Finding the Percent of a Number

A percent is a special kind of ratio that compares a number to .

One way to find the percent of a number is to use benchmark percents.

Jamal just saved 50% on a $40 pair of shoes. Find 50% of $40.

50% = 1

Multiply 1

2 by $40.

1

2 ($40) = $

Using Decimals to Find a Percent of a Number

Jamal just saved 50% on a $40 pair of shoes. Find 50% of $40.

1. Write the percent as a decimal.

50% =

2. Multiply.40

0.50

00

200

×

+

50% of $40 is $20.

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Instruction

2Slide

Using Multiplication to Find Percents

4Slide

Multiplying to Find a Percent of a Number

Zane read 72% of a 300-page book. Find 72% of 300 and use estimation to check your answer.

0% 72%

3000 ?

%

Write the percent as a decimal.

72% =

Multiply.300

0.72

600

2100

×

+

Zane has read pages of his 300-page book.

Use estimation to check the answer. 72% is close to 75%, so find 75% of 300.

30050% 150

25% 300 4

÷+

= =

= ÷ =

Since the two answers are very close, that means that our answer is reasonable.

50% + 25% = 75%

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Instruction

2Slide

Using Multiplication to Find Percents

7Slide

Multiplying to Find a Percent of a Number

This year, Orla spent $320 on bus fare. Next year, she’ll spend 125% of $320. How much will Orla spend on bus fare next year?

0% 100% 125%

?0 320

Since 125% is greater than 100%, the answer will be than $320.

Write 125% as a decimal.

125% =

Multiply.

×

+

320

1.25

640

320

Orla will spend $ on bus fare next year.

We can use benchmarks to find 125% of 320 and to check our answer.

100% =

25% = 320 ÷ 4 =

+320

80

© Edgenuity, Inc. 5

Instruction

2Slide

Using Multiplication to Find Percents

9Slide

Multiplying to Find a Percent of a Number

This month, the Purrfect Pet store sold 780 cats and dogs. They expect to sell 315% as many cats and dogs next month. How many cats and dogs does the Purrfect Pet store expect to sell next month?

315%0% 100%

?0

Write 315% as a decimal.

315% =

Multiply

×

+

780

3.15

3900

780

2340

The Purrfect Pet store expects to sell cats and dogs next month.

Use to check our answer.

315% is about 3 times 100%.

780 is about 800.

800 × =

Our answer is reasonable.

© Edgenuity, Inc. 6

Summary

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Using Multiplication to Find Percents

Answer

Lesson Question How can you use multiplication to find any percent of a number?

Use this space to write any questions or thoughts about this lesson.

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