copyrightamberpasillas2010 decimals terminating decimal is a decimal that stops. the decimal...
DESCRIPTION
To Change A Decimal To A Fraction : Read the decimal using the correct place value. How you say it determines the fraction. 0.2 #3 Two tenthsTRANSCRIPT
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”
copyright©amberpasillas2010
copyright©amberpasillas2010
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
copyright©amberpasillas2010
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
copyright©amberpasillas2010
#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
copyright©amberpasillas2010
12143413
=
=
=
=
50%
25%
75%
33.3%
=
=
=
=
66.6%
20%
40%
60%
23152535
#6
copyright©amberpasillas2010
#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
copyright©amberpasillas2010
To change a Percent to a Fraction : Put 100 in the denominator and reduce if possible.
#8
42% 42100
22
2150
copyright©amberpasillas2010
#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
copyright©amberpasillas2010
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
copyright©amberpasillas2010
#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
copyright©amberpasillas2010
copyright©amberpasillas2010
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.
copyright©amberpasillas2010
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%
copyright©amberpasillas2010
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
copyright©amberpasillas2010
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