Copyrightamberpasillas2010 Decimals Terminating Decimal Is a decimal that stops. The decimal terminates if you reach a remainder of zero when you divide

copyright©amberpasillas2010

DecimalsTerminating Decimal Is a decimal that stops. The decimal terminates if you reach a remainder of zero when you divide.

Repeating DecimalIs a decimal that shows a pattern of repeating digits.

#1

1 0.52

4 0.3611

Decimal Place Value

___ , ___ ___ ___ ___ ___ ___ ___

Thou

sand

s

Hun

dred

s Ten s On es

Tent

hs

Hun

dred

ths

Thou

sand

ths

Ten

Thou

sand

ths

2 4 3 1 6

Read as 243 and 16 hundredths

#2Decimals are read as “and”



To Change A Decimal To A Fraction: Read the decimal using the correct place value. How you say it determines the fraction.

0.2 210

#3

Two tenths

15


To Change Fraction To a Decimal: Divide the numerator by the denominator.

#4

34

34 0.7

2 82

0

0

5

200

3 0.754

means 3 4


#5

one tenth0.1

19 0.1

110

one less than 10 repeating

22 hundredths0.22 22100

2299

0.22 one less than 100 repeating

three tenths0.3

39

0.3

310

one less than 10repeating

123 thousandths0.123 123

1000

123999

0.123 one less than 1000repeating3

3 13


12143413

=

=

=

=

50%

25%

75%

33.3%

=

=

=

=

66.6%

20%

40%

60%

23152535

#6


#7

To change a Percent to a Decimal : Divide the percent by 100.

20%

*Dividing by 100 results in moving the decimal 2 places to the left.

100 20-200

0

2 0 20.%20

100


To change a Percent to a Fraction : Put 100 in the denominator and reduce if possible.

#8

42% 42100

22

2150


#9

To change a Fraction to a Percent: Set up an equivalent fraction using a denominator of 100.

25%

35

2020

14

2525

?100

60100 60%

Per-cent means per 100


To Change a Decimal to a Percent: Multiply the decimal by 100.0.34 • 100 = 34%

* Multiplying by 100 results in moving the decimal 2 places to the right.

0.34

#10


#11

15 5)1.00

.2

1 000

0

000

1) Change it to a decimal first. Divide the numerator by the denominator2) Change your decimal to a percent. Multiply your decimal by 100. This is the same as moving the decimal 2 places to the right.

0.20 = 20%

1) 2)

14

25=100=25%

28

25=100=25%1= 4

2525 25

25

Diagram of Fractions

3) 4)

612

50=100 =50%1= 2 25

40=100 =40% 5050 20

20

#12



EXTRAS:• The following study guide notes #14, #15,

#16 go with the lesson f) Fractions, Decimals & Percents which is a combination of lessons c, d, & e.


To Change A Fraction…Fraction To a Decimal: Divide

the numerator by the denominator.

Fraction To a Percent: Set up an equivalent fraction using a denominator of 100.

34 3 4 4 3

-2820

-2 00

7 0 5

0

#

2525

Per-cent means per 100

1 ? 4 100

25100

25%


Decimal To A Percent: Multiply the decimal by 100.0.34 • 100 = 34%* Multiplying by 100 results in moving the decimal 2 places to the right.Decimal To A Fraction: Read the decimal using the correct place value. How you say it determines the fraction.

0.2 210

#

0.34

15


Percent To A Decimal : Divide the percent by 100.

20%

*Dividing by 100 results in moving the decimal 2 places to the left. Percent To A Fraction : Put 100 in the denominator and reduce if possible.

100 20-200

0

20

#

20.%

42%

20100

42100

22

2150

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Copyrightamberpasillas2010 Decimals Terminating Decimal Is a decimal that stops. The decimal terminates if you reach a remainder of zero when you divide