Summer Math Packet Worksheet - 8th Grade, Grayslake Middle School Page 9

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E
:
XAMPLE
*To convert from fractions to decimals
3
= 3 ÷ 4 = 0.75
Divide your fraction (numerator
÷
denominator) 
4
*To convert from fractions to percents
4
4×20
80
= 80%
Once the denominator becomes 100, the numerator is your percentage 
=
=
5
5×20
100
*To convert from decimals to fractions
62
31
Place your decimal without the decimal point over the place value
1.62 = 1
= 1
100
50
*To convert from decimals to percents
Simply move your decimal point to the right twice 
0.003 = 0.3%
*To convert from percents to decimals
Simply move your decimal point to the left twice 
263.2% = 2.632
*To convert from percents to fractions
Place your percentage over 100 and “fix” the fraction so that there are no decimals remaining 
48.5
485
97
48.5% =
=
=
100
1000
200
Fill in the following chart.
F
D
P
RACTION
ECIMAL
ERCENT
2
34)
3
3
35)
1
4
7
36)
8
37)
1.04
38)
0.7
39)
0.35
40)
7%
41)
127%
42)
0.04%
Solve the following problems with the given formulas. Don’t forget to include units in your answer.
43) Given the radius of a circle is 8.5 mm, find the
44) Given a rectangular box with a length of 10
inches, a width of 3 inches, and a height of 4
area of the circle using
to the nearest
2
A = π r
inches, find the volume of the box (
V = lwh ).
hundredths.

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