1 standard 1.2 areas: fraction to decimal (%) areas: fraction to percent. how? converting decimals...

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

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Page 1: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

1

STANDARD 1.2Areas: Fraction to Decimal (%)

Areas: Fraction to Percent. How?

Converting Decimals to Fractions

Shading a % of one area

Areas: Decimal to Percent

Shading areas (%) of Mixed Numbers

Mixed numbers as percent

A dollar beak-down

Decimals to Mixed Numbers to %

END SHOW

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Page 2: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

2

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.

GRADE 7: Number Sense

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Page 3: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

3

STANDARD 1.2

110

110

= = . 111

110

11

10= . 1

9

8

7

6

5

4

3

2

1

10

OR

10100

= = . 111

10100

10100

= . 1

10%

Express the shaded area as a fraction and as decimal

What is this in percent?

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Page 4: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

4

STANDARD 1.2

210

210

= = . 211

210

1

210

= . 2

OR

20100

= = . 211

20100

20100

= . 2

20%

9

8

7

6

5

4

3

2

1

10

19

18

17

16

15

14

13

12

11

20

Express the shaded area as a fraction and as decimal

What is this in percent?

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Page 5: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

5

STANDARD 1.2

310

310

= = . 311

310

1 310

= . 3

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

OR

30100

= = . 311

30100

30100

= . 3

30%

Express the shaded area as a fraction and as decimal

What is this in percent?

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Page 6: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

6

STANDARD 1.2

410

14

10= . 4

410

= = . 411

410

OR

40100

= = . 411

40100

40100

= . 4

40%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

Express the shaded area as a fraction and as decimal

What is this in percent?

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Page 7: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

7

STANDARD 1.2

510

1 510

= . 5

510

= = . 511

510

50100

= = . 511

50100

50100

= . 5

50%OR

Express the shaded area as a fraction and as decimal

What is this in percent?

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Page 8: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

8

STANDARD 1.2

610

1 610

= . 6

610

= = . 611

610

60100

= = . 611

60100

60100

= . 6

60%OR

Express the shaded area as a fraction and as decimal

What is this in percent?

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Page 9: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

9

STANDARD 1.2

27100

= . 27

27%

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

What is the shaded area as fraction, as decimal and as percent?

Why 27%?

.27

The point travels 2 decimal places to the right and add % sign

= 27%= 27.

(.27)(100%) = 27%

or

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Page 10: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

10

STANDARD 1.2

33100

= . 33

33%

What is the shaded area as fraction, as decimal and as percent?

Why 33%?

.33

The point travels 2 decimal places to the right and add % sign

= 33%= 33.

(.33)(100%) = 33%

or

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Page 11: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

11

STANDARD 1.2

45100

= . 45

45%

What is the shaded area, as decimal and as percent?

Why 45%?

.45

The point travels 2 decimal places to the right and add % sign

= 45%= 45.

(.45)(100%) = 45%

or

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Page 12: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

12

STANDARD 1.2

55100

= .55

55%

What is the shaded area as fraction, as decimal and as percent?

Why 55%?

.55

The point travels 2 decimal places to the right and add % sign

= 55%= 55.

(.55)(100%) = 55%

or

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Page 13: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

13

STANDARD 1.2

100100

= 1

100%

What is the shaded area as fraction, as decimal and as percent?

Why 100%?

1.0

The point travels 2 decimal places to the right and add % sign

= 100%= 100.0

(1.0)(100%) = 100%

or

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Page 14: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

14

STANDARD 1.2

49100

= .49

49%

Convert to decimal the percent below:

OR 49.0 % = .49

We shift the decimal point two places to the left.

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Page 15: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

15

STANDARD 1.2

Convert to decimal the percent below:

58100

= .58

58%

OR 58.0 % = .58

We shift the decimal point two places to the left.

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Page 16: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

16

STANDARD 1.2

Convert to decimal the percent below:

8100

= . 08

8%

OR 8.0 % = .08

We shift the decimal point two places to the left.

0

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Page 17: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

17

STANDARD 1.2

Convert to decimal the percent below:

5100

= . 05

5%

OR 5.0 % = .05

We shift the decimal point two places to the left.

0

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Page 18: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

18

STANDARD 1.2

Fill in enough squares to have 30%

Fill in enough squares to have 60%

Fill in enough squares to have 36%

Fill in enough squares to have 77%

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Page 19: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

19

STANDARD 1.2

Fill in enough squares to have 20%

Fill in enough squares to have 40%

Fill in enough squares to have 68%

Fill in enough squares to have 99%

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Page 20: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

20

STANDARD 1.2

75%75

100.75

Convert to fraction the following decimals:

hundredths.75=

75100

15100.15

hundredths.15=

15100

810

.8tenths

.8=8

10

15%

80%

What is the percent?

310

.3tenths

.3=3

10 30%

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Page 21: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

21

STANDARD 1.2

= 1.31 30100

+30

1001= 1.3

The point travels 2 decimal places to the right and add % sign.

= 130.0 = 130 %

Express as a mixed number, as a decimal and as percent the following area:

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Page 22: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

22

STANDARD 1.2

= 1.91 90100

+90

1001= 1.9

The point travels 2 decimal places to the right and add % sign.

= 190.0 = 190 %

Express as a mixed number, as a decimal and as percent the following area:

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Page 23: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

23

STANDARD 1.2

= 1.031 3100

+ 3

1001= 1.03

The point travels 2 decimal places to the right and add % sign.

= 103. = 103 %

Express as a mixed number, as a decimal and as percent the following area:

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Page 24: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

24

STANDARD 1.2

= 2.62 60100

+60

1002= 2.6

The point travels 2 decimal places to the right and add % sign.

= 260.0 = 260 %

Express as a mixed number, as a decimal and as percent the following area:

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Page 25: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

25

STANDARD 1.2

= 1.061 6100

+ 6

1001= 1.06

The point travels 2 decimal places to the right and add % sign.

= 106. = 106 %

Express as a mixed number, as a decimal and as percent the following area:

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Page 26: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

26

STANDARD 1.2

= 2.432 43100

+43

1002= 2.43

The point travels 2 decimal places to the right and add % sign.

= 243. = 243 %

Express as a mixed number, as a decimal and as percent the following area:

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Page 27: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

27

STANDARD 1.2

Shade 267% below:

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Page 28: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

28

STANDARD 1.2

Shade 155% below:

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Page 29: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

29

STANDARD 1.2

Shade 298% below:

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Page 30: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

30

STANDARD 1.2

Convert to mixed number the following decimals: What is the percent?

136%1.36hundredths

1.36=units

361001 36

1001

320%3.2tenths

3.2=units

2103 2

103

521%5.21hundredths

5.21=units

211005 21

1005

470%4.7tenths

4.7=units

7104 7

104

101%1.01hundredths

1.01=units

11001 1

1001

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Page 31: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

31

HundredthsTenthsUnits or Ones

STANDARD 1.2

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Page 32: 1 STANDARD 1.2 Areas: Fraction to Decimal (%) Areas: Fraction to Percent. How? Converting Decimals to Fractions Shading a % of one area Areas: Decimal

32

STANDARD 1.2

1%

5%

10%

25%

50%

100%

10¢

25¢

50¢

100¢ 100100

= $1.0

50100

=$ 0.50

25100

= $0.25

10100

=$ 0.10

5100

=$0.05

1100

=$ 0.01

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