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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.
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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
You Try: • Change the following fractions to decimals: • 5/8 • (Check your answers on the next slide.) • 2. 8/9
How do I change from a decimal to a fraction? Read the decimal and write it as you read it. Simplify the fraction. Ex. 0.11 Eleven Hundredths (Check your answers on the next slide.) Ex. 0.05 Five Hundredths
.11=11/100 • .05= 5/100= 1/20
You Try • Change the following decimals to fractions: • 0.02 • (Check your answers on the next slide.) • 2. 0.052
.02 = 2/100 = 1/50 • .052 = 52/1000 =13/250
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
.64 =64% • .05=5%
You Try: • Change the following decimals to percents: • 0.45 • (Check your answers on the next slide.) • 2. 0.01
.45= 45% • 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%
42% = .42 • 7% = .07
You Try • Change the following percents to decimals: • 17% • (Check your answers on the next slide.) • 2. 19%
17%= .17 • 19% = .19
Summary of all conversion rules • Copy this slide into your CB on pages 74-75. • Percents • 1. 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 rules • Copy this slide into your CB on pages 74-75. • Decimals • 1. 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 rules • Copy 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.