Chapter 7 Section 1 Percent, Decimals, Fractions. Meaning

Ch.7sec1
Page 1 of 3
Chapter7Section1
Percent,Decimals,Fractions.
MeaningofPercent:partsperhundred.
Percenttofraction
Dropthepercentsignandputthenumberover100
Example:
Change24%toafraction
24%=
24
100
6
25
Partsperhundred
Reduced.
Example2:Page503
2
7
Change 14 %toafraction.
2
14
2
7
14 %=
7
100
100
= 7 100
100 1
i
7 100
100i1
7i100
1
7
Mixedtoimproper
Changedivisiontomultiplication
Reduce
Example3:
Change28.4%toafraction
28.4
100
28.4 i10
=
100i10
284
=
1000
71i 4
=
250i 4
71
=
250
28.4%=
Multiplynumeratoranddenominatorby10.
Reduce
Redwood2nd
Ch.7sec1
Page 2 of 3
Redwood2nd
Try:Changetoafraction
a)36%
1
9
b) 11 %
c)87.5%
ChangeapercenttoDecimal:
Dropthepercentsymbolandmovethedecimalpointtwoplacestotheleft.
Example5:page504
1
2
Change 5 %toadecimal
1
5 % =5.5%
2
1
2
Change to0.5
0.055 Dropthe%symbolandmovethedecimalpointtwoplacestotheleft.
Change24%toadecimal
24%=0.24 Dropthe%symbolandmovethedecimalpointtwoplacestotheleft.
Try:Changetoadecimal
a)2.4%
3
4
b) 6 %
ChangeaDecimaltoaPercent:
Movethedecimalpointtwoplacestotherightandaddthepercentsymbol.
Example6:page505
Change0.0725toapercent
0.0725=
7.25%
Try:Changetoapercent
A)0.525
b)0.0375
1.025
ChangeaFractiontoaPercent
Way1
1)Changethefractiontoadecimal
2)Movethedecimalpointtwoplacestotherightandaddapercentsymbol.
Example8:page506
Ch.7sec1
Page 3 of 3
Redwood2nd
5
8
Change toapercent
5
8
=0.625
Changethefractiontoadecimalbydividing
=62.5%
Movethedecimalpointtwoplacestotherightandadd%sign
Way2
1)Writeanequivalentfractionwithadenominatorof100
2)Writethenumeratorandattachapercentsymbol.
5
8
5
x
=
8 100
Change toapercent
Writefractionwithadenominatorof100
8x=500
means=extremes
125
2
x=
Divideby8andreduce
x=62.5
Changetoadecimal
5
=62.5%
8
Addthepercentsign.
Try:Changetoapercent
4
9
a) 5
16
b)
4
Roundtothenearesttenthofapercent
13
c)