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Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 25
Unit 2
Fraction, Decimal,
Percent, and Scientific
Notation
(Calculators will NOT be used)
Homework
SOL 7.1 - The student will:
a) Investigate and describe the concept of negative
exponents for powers of ten;
b) Determine scientific notation for numbers greater
than zero;
c) Compare and order fractions, decimals, percents and
numbers written in scientific notation
Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 26
Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 27
Fractions  Decimals  Percents Homework
Convert the following fractions to decimals:
1
2
3
3
8
1)
4)
2)
5)
3
5
2
3
1
3
4
4
5
3)
6)
Convert the following decimals to a percent:
7) 0.38
8) 0.16
9) 4.45
10)
11)
12)
2.39
0.54
Complete the Table
#
Fraction
1
13)
2
100
Decimal
4.12
Percent
7
50
14)
15)
3
1
8
Directions: Compare the following using > , < , or =
16) 0.15
1
17)
5
1
3
4
0.75
Order the following numbers
2
18) Order from least to greatest: 0.42 , 4.2 , 5 __________________________________________
1
________________________________________
1
_______________________________________
19) Order from greatest to least: 3 3 , 3.34 , 300
20) Order from greatest to least: 9 3, 0.925 , 9.3
My score is _________/20
Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 28
Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 29
FDP Mixed Conversions Homework
Convert the following fractions to a decimal:
1)
1
2) 1
2
3
3)
5
Convert the following decimals to a percent:
4) 0.38
5) 0.16
3
4
6) 4.45
Convert the following percents to a decimal:
7) 45%
8) 50%
9) 5%
Convert the following decimals to a fraction (and simplify):
10) 0.25
11) 0.7
Complete and fill in each blank box:
#
Fractions
12) 0.15
Decimals
13)
25%
14)
15)
16)
0.4
1
20
6%
17)
18)
Percent
2.04
2
1
3
19) Internet access in the U.S.has increased dramatically in recent years. If 110 out of every 200
households had Internet access, what percent of households had Internet access?
1
20) Order from greatest to least: 2 4, 0.25 , 2.5%
_______________________________________
My score is _________/20
Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 30
Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 31
Scientific Notation Homework
Write the numbers in scientific notations.
1) 98,000
2) 0.0004
3) 0.0056
4) 0.0000451
5) 0.0089
6) 158
7) 0.07345
8) 0.3
9) 0.896
10) 9 × 10−2
11) 4.2 × 104
12) 8.3 × 10−2
16) 7.25 × 10−4
17) 8.1 × 10−4
18) 4.083 × 109
Write the numbers in standard form.
14) 2.3 × 10−1
13) 9.02 × 107
Compare using ˃, ˂, or =
15) 6.032 × 105
19) 3.5 × 10−4 ____ 2.1 × 10−6 ;
20) 1.9 × 10−9 ____ 5.3 × 10−9
21) 2.3 × 105 ____ 2.3 × 10−7;
22) 6.279 × 105 ____ 1.8 × 107
23) The table lists the populations of five countries.
List the countries from least to greatest population.
Country
Australia
Brazil
Egypt
Luxemburg
Singapore
24) Put the following in ascending order
0.23 , 2.3 x 103 , 2.30% ,
1
5
__________________________________________
25) Put the following in descending order
8.01 x 102 , 5.45 x 10-1 ,
1
2
, 3.79 ________________________________________
My score is _________/25
Population
2.0 × 107
1.9 × 108
7.7 × 107
4.7 × 105
4.4 × 106
Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 32
Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 33
Scientific Notation & Powers of 10 Homework
Write the following as a fraction and a decimal.
1) 104
2) 10-1
3) 103
4) 10-3
5) 105
6) 10-2
7) 100
8) 10-5
9) 101
Complete the Table
Exponential
#
Form
10)
Fractions Multiplied Together
Decimal
10-4
11)
10,000,000
10
12)
13)
1
102
x
10
1
x
10
1
x
10
1
x
10
1
14)
0.000000001
1
15)
10
x
16) Put the following in ascending order
1
10
x
1
10
x
1
10
x
1
10
x
1
x
1
10 10
0.017 x 103 , 1.7% , 0 , 1.7 x 10-4 , 10-3 ____________________________________________
17) Put the following in descending order
8.01 x 102 , 10-1 , 105 ,
1
2
, 3.79 ________________________________________________
My score is _________/17
Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 34
Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 35
FDP, Scientific Notation, & Powers of 10
Test Study Guide
Scientific Notation & Standard Form
STANDARD FORM
The LONG form of the number
4,200,000
SCIENTIFIC NOTATION
=
4.2 x
10
6
The decimal must be between 1
and 10
The exponent is the number
of SWOOPS the decimal
point moves.
(Positive moves right;
Negative moves left)
Write in Standard Form
1) 6.125 x 10-8
2) 1.32 x 104
3) 1.2 x 106
4) 2.004 x 10-5
Write in Scientific Notation
5) 1,030,000
6) 0.000000578
7) 198,000,000
8) 0.42
Complete the Table
#
Standard Form
3.1 x 105
9)
10)
134,500
7.3512 x 10-7
11)
12)
13)
Scientific Notation
0.0065
2 x 108
Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 36
14)
Powers of 10
•
Remember that a power of 10 is the number 10 multiplied by itself a certain number of times.
Examples:
Exponential Form
Fraction
10
1
101
10
1
10
10-1
Complete the Table
Exponential
#
Form
15)
Decimal
0.1
Fractions Multiplied Together
Decimal
10-2
16)
1,000,000
1
17)
18)
10
107
x
1
10
x
1
10
x
1
10
19)
0.0001
10
20)
1
Complete the FDP Graphic Organizer
F
x
10
1
x
10
1
x
10
1
x
10
1
D
x
10
1
x
10
1
P
Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 37
*FRACTIONS  DECIMALS  PERCENTS*
Changing a FRACTION/MIXED NUMBER into a PERCENT:
1) Change the fraction into a decimal by changing it into an improper fraction, if necessary, and dividing
the numerator by the denominator.
2) Multiply the decimal by 100 to make a percent. Hint: moving the decimal point TWO places to the
RIGHT is the same as multiplying the decimal by 100.
**Mixed numbers will result in percentages over 100**
73
73÷100 = 0.73 = 73%
100
*PERCENTS  DECIMALS  FRACTIONS*
Changing a PERCENT into a FRACTION/MIXED NUMBER:
1) Change the percent into a decimal first. Remember, we “swoop” to the LEFT two times!
2) Then identify the place value of the right-most digit and place the number over that place value. (The
numbers to the left of the decimal stay the whole number; numbers to the right make the numerators)
3) Simplify the fraction.
12.5% = 0.125 =
125
5
1
÷ 25 =
÷5 =
1000
8
40
45% = 0.45 =
45
9
÷5 =
100
20
Convert the fractions to percents.
19
21) 25
1
22) 8
3
23) 4
9
24) 10
27) 0.004
28) 0.53
31) 180%
32) 24.5%
Convert the decimals to fractions.
25) 0.375
26) 2.3
Convert the percents to fractions.
29) 45%
30) 2.3%
Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 38
Compare using ˃, ˂, or =
33) 1.8
37)
180%
34) 1
1
2
125%
Order the following from
least to greatest:
0.0145 x 102,
73
, 1.456, 10.5% , 10-2
50
Complete the following word problems:
39) There are 25 students in math class. Yesterday, 6
students were absent. What percent of the
students were absent?
41) Lathy received $0.54 in change. Express this as a
fraction of a dollar.
35)
2
3
70%
36) 45
45%
38) Order the following from
greatest to least:
47.5% , 0.03457 x 10-3 ,
11
, 4.456
25
40) Albert spends 2 hours per day working on his
homework and an hour playing video games.
What percent of the day does he spend playing
video games and working on his homework?
42) Ragu ran the first 3 miles of a 5 mile race in 24
minutes. What percent of the race has he run?
Don’t Forget to Check your Homework Online!
My score is _________/42
Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 39
Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 40
Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 41
Unit 2: Fractions, Decimals, Percents, and Scientific Notation HOMEWORK Page 42