Areas: Fraction to Decimal (%)

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Areas: Fraction to Decimal (%) STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Areas: Decimal to Percent Shading a % of one area Converting Decimals to Fractions Mixed numbers as percent Shading areas (%) of Mixed Numbers Decimals to Mixed Numbers to % A dollar beak-down END SHOW PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

GRADE 7: Number Sense 1.3 Convert fractions to decimals and percents and use these representations in estimations, computations and applications. 1.3 Convertir fracciones a decimales y porcentajes y usar estas representaciones en estimaciones, cálculos y aplicaciones. PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

10% Express the shaded area as a fraction and as decimal 1 1 1 10 1 10 9 8 7 6 5 4 3 2 1 10 1 1 10 1 10 = 10% = . 1 1 What is this in percent? 1 10 = . 1 OR 1 10 100 10 100 = = . 1 1 10 1 10 100 = . 1 STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

20% Express the shaded area as a fraction and as decimal 1 9 8 7 6 5 4 3 2 1 10 19 18 17 16 15 14 13 12 11 20 What is this in percent? 1 2 10 2 10 = = . 2 20% 1 2 10 = . 2 2 10 OR 1 20 100 20 100 = = . 2 1 20 100 = . 2 STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

30% Express the shaded area as a fraction and as decimal 1 1 3 10 3 10 29 28 27 26 25 24 23 22 21 30 9 8 7 6 5 4 3 2 1 10 19 18 17 16 15 14 13 12 11 20 1 3 10 3 10 = = . 3 30% 1 What is this in percent? 3 10 = . 3 OR 3 10 1 30 100 30 100 = = . 3 1 30 100 = . 3 STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

40% Express the shaded area as a fraction and as decimal 1 1 4 10 4 10 29 28 27 26 25 24 23 22 21 30 9 8 7 6 5 4 3 2 1 10 19 18 17 16 15 14 13 12 11 20 49 48 47 46 45 44 43 42 41 40 40% 1 4 10 4 10 = = . 4 1 What is this in percent? 4 10 = . 4 OR 4 10 1 40 100 40 100 = = . 4 1 40 100 = . 4 STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

50% Express the shaded area as a fraction and as decimal 1 1 5 10 5 10 = = . 5 1 What is this in percent? 5 10 = . 5 OR 1 50 100 50 100 = 5 10 = . 5 1 50 100 = . 5 STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

60% Express the shaded area as a fraction and as decimal 1 1 6 10 6 10 = = . 6 1 What is this in percent? 6 10 = . 6 OR 1 60 100 60 100 = 6 10 = . 6 1 60 100 = . 6 STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

27% What is the shaded area as fraction, as decimal and as percent? 27 26 25 24 23 22 21 9 8 7 6 5 4 3 2 1 10 19 18 17 16 15 14 13 12 11 20 27 100 = . 27 27% Why 27%? (.27)(100%) = 27% or .27 = 27. = 27% The point travels 2 decimal places to the right and add % sign STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

33% What is the shaded area as fraction, as decimal and as percent? 33 100 = . 33 33% Why 33%? (.33)(100%) = 33% or .33 = 33. = 33% The point travels 2 decimal places to the right and add % sign STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

45% What is the shaded area, as decimal and as percent? 45 = . 45 100 Why 45%? (.45)(100%) = 45% or .45 = 45. = 45% The point travels 2 decimal places to the right and add % sign STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

55% What is the shaded area as fraction, as decimal and as percent? 55 100 = .55 55% Why 55%? (.55)(100%) = 55% or .55 = 55. = 55% The point travels 2 decimal places to the right and add % sign STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

100% What is the shaded area as fraction, as decimal and as percent? = 1 100% Why 100%? (1.0)(100%) = 100% or 1.0 = 100. = 100% The point travels 2 decimal places to the right and add % sign STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

49% Convert to decimal the percent below: 49 100 = .49 49.0 % OR = .49 We shift the decimal point two places to the left. STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

58% Convert to decimal the percent below: 58 100 = .58 58.0 % OR = .58 We shift the decimal point two places to the left. STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

8% Convert to decimal the percent below: 8 100 = . 08 8.0 % OR = .08 = .08 We shift the decimal point two places to the left. STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

5% Convert to decimal the percent below: 5 100 = . 05 5.0 % OR = .05 = .05 We shift the decimal point two places to the left. STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Fill in enough squares to have 30% Fill in enough squares to have 36% STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Fill in enough squares to have 20% Fill in enough squares to have 68% STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

75% 15% 80% 30% Convert to fraction the following decimals: What is the percent? 75 100 75 100 .75 .75= 75% hundredths 15 100 15 100 15% .15 .15= hundredths 8 10 8 10 80% .8 .8= tenths 3 10 3 10 30% .3 .3= tenths STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

The point travels 2 decimal places to the right and add % sign. Express as a mixed number, as a decimal and as percent the following area: 30 100 + 30 100 1 = 1 = 1.3 1.3 = 130. = 130 % The point travels 2 decimal places to the right and add % sign. STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

The point travels 2 decimal places to the right and add % sign. Express as a mixed number, as a decimal and as percent the following area: 90 100 + 90 100 1 = 1 = 1.9 1.9 = 190. = 190 % The point travels 2 decimal places to the right and add % sign. STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

The point travels 2 decimal places to the right and add % sign. Express as a mixed number, as a decimal and as percent the following area: 3 100 + 3 100 1 = 1 = 1.03 1.03 = 103. = 103 % The point travels 2 decimal places to the right and add % sign. STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

The point travels 2 decimal places to the right and add % sign. Express as a mixed number, as a decimal and as percent the following area: 60 100 + 60 100 2 = 2 = 2.6 2.6 = 260. = 260 % The point travels 2 decimal places to the right and add % sign. STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

The point travels 2 decimal places to the right and add % sign. Express as a mixed number, as a decimal and as percent the following area: 6 100 + 6 100 1 = 1 = 1.06 1.06 = 106. = 106 % The point travels 2 decimal places to the right and add % sign. STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

The point travels 2 decimal places to the right and add % sign. Express as a mixed number, as a decimal and as percent the following area: 43 100 + 43 100 2 = 2 = 2.43 2.43 = 243. = 243 % The point travels 2 decimal places to the right and add % sign. STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Shade 267% below: STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Shade 155% below: STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Shade 298% below: STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Convert to mixed number the following decimals: What is the percent? 36 100 1 36 100 1 1.36= 136% 1.36 units hundredths 2 10 3 2 10 3 3.2= 320% 3.2 units tenths 21 100 5 21 100 5 5.21= 521% units 5.21 hundredths 7 10 4 7 10 4 470% 4.7 4.7= units tenths 1 100 1 100 1.01= 101% 1.01 units hundredths STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Hundredths Tenths Units or Ones STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

100¢ 50¢ 25¢ 10¢ 5¢ 1¢ 50% 25% 10% 5% 1% 100% STANDARD 1.2 100 = $1.0 =$ 0.50 25% 25 100 = $0.25 10% 10 100 =$ 0.10 5% 5 100 =$0.05 1% 1 100 =$ 0.01 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved