Fraction Decimal Percents

Standards

M6N1. Students will understand the meaning of the four arithmetic operations as related to positive rational numbers and will use these concepts to solve problems.

f. Use fractions, decimals, and percents interchangeably. g. Solve problems involving fractions, decimals, and percents.

Essential Question

How are fractions, decimals, and

percents related?

VocabularyCopy this slide into your CB on page

81.

Repeating Decimal-one or more digits repeat continuously

Ex. 0.555….

Terminating Decimal- has a finite number of decimal places

Ex. 0.75

How do I change from a fraction to a decimal?

Divide the top by the bottom.

Ex. 3 4

(Check your answers on the next slide.)

Ex. 1 9

1. ¾ = .752. 1/9 = .1‾

You Try:

Change the following fractions to decimals:

1. 5/8

(Check your answers on the next slide.)

2. 8/9

1. 5/8= .6252. 8/9=.8‾

How do I change from a decimal to a fraction?Read the decimal and write it as you read it. Simplify the fraction.

Ex. 0.11Eleven Hundredths

(Check your answers on the next slide.)

Ex. 0.05Five Hundredths

1. .11=11/100

2. .05= 5/100= 1/20

You Try

Change the following decimals to fractions:

1. 0.02 (Check your answers on the next slide.)

2. 0.052

1. .02 = 2/100 = 1/50

2. .052 = 52/1000 =13/250

WOW!! TAKE A BREATH!

How do I change from a decimal to a percent?

Multiply the decimal by 100.(MOVE THE DECIMAL TWO PLACES TO THE RIGHT.)

Ex. 0.64 (Check your answers on the next slide.)

Ex. 0.05

1. .64 =64%

2. .05=5%

You Try:

Change the following decimals to percents:

1. 0.45 (Check your answers on the next slide.)

2. 0.01

1. .45= 45%

2. 0.01 = 1%

How do I change from a percent to a decimal?

Divide by 100.(MOVE THE DECIMAL TWO PLACES TO THE

LEFT.)

Ex. 42% (Check your answers on the

next slide.)

Ex. 7%

1. 42% = .42

2. 7% = .07

You Try

Change the following percents to decimals:

1. 17%

(Check your answers on the next slide.)

2. 19%

1. 17%= .17

2. 19% = .19

Summary of all conversion rulesCopy this slide into your CB on pages 74-75.

Percents1. Percent to fraction-Put the percent over 100 and drop %

sign

2. Percent to decimal- Move the decimal point two places to

the LEFT and drop % sign

Summary of conversion rulesCopy this slide into your CB on pages

74-75.Decimals1. Decimal to fraction-Put the decimal over its place value

and drop the decimal point

2. Decimal to percent-Move the decimal point two places to

the RIGHT and add % sign

Summary of conversion rulesCopy this slide into your CB on pages

74-75.Fractions- 1. Fraction to decimal-Top divided by bottom

2. Fraction to percent-Turn into a decimal then to a percent

This sheet is in your packet. Complete these problems in your packet.Write each percent as a fraction

in simplest form.

1. 52% 2. 29%

Write each percent as a decimal.

3. 17% 4. 86%

5. A store clerk has an 8% sales

increase. Write the increase as a

fraction in simplest form and as a

decimal.