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WorksheetsReal Number Properties and Scientific Notation
Total questions: 25
Worksheet time: 1hrs 21mins
Name
Class
Date
1.
Find the value (standard form) of the power.
33
33
a)
9
b)
6
c)
27
d)
12
2.
5³⋅5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
3.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
4.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
5.
Simplify:
a)
c7
b)
1/c7
c)
1/c17
d)
c60
6.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
7.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
8.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 104
c)
5 x 103
d)
.5 x 103
9.
How would you write 4.3756 x 106 in standard form?
a)
4,375,600
b)
0.0043756
c)
437,560
d)
43,756
10.
How would you write 564,000,000 in scientific notation?
a)
5.6 x 10-7
b)
5.6 x 106
c)
5.6 x 108
d)
56.4 x 107
11.
Simplify -32
a)
-9
b)
9
c)
-1/3
d)
1/3
12.
Simplify (-9)0
a)
-9
b)
-1
c)
1
d)
9
13.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
14.
Multiply:
(3.4 x 105)(1.2 x 10-3)
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
15.
Divide:
(6.9 x 107) / (2.3 x 10-3)
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
16.
Multiply:
(9.4 x 106)(3.2 x 105)
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
17.
Solve:
(6 x 106) / (2 x 103)
(6 x 106) / (2 x 103)
a)
12 x 103
b)
3 x 109
c)
1.2 x 104
d)
3 x 103
18.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
19.
Which is the smallest?
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
a)
1.3 x 1020
b)
2.9 x 1021
c)
9.5 x 1032
d)
8.4 x 1019
20.
Which is the largest?
4.8 x 10-6
1.3 x 1020
3.1 x 10-4
9.2 x 10-5
9.5 x 1032
5.9 x 10-5
2.9 x 1021
8.4 x 1019
4.8 x 10-6
1.3 x 1020
3.1 x 10-4
9.2 x 10-5
9.5 x 1032
5.9 x 10-5
2.9 x 1021
8.4 x 1019
a)
9.5 x 1032
b)
3.1 x 10-4
c)
8.4 x 1019
d)
4.8 x 10-6
21.
Use a calculator to simplify the expression.
a)
7.778 x 100
b)
7.778 x 101
c)
1.2857 x 10-1
d)
1.2857 x 10-2
22.
Use a calculator to simplify the expression.
a)
1.818 x 100
b)
1.818 x 10-1
c)
5.5 x 100
d)
5.5 x 101
23.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
24.
Make this negative exponent positive.
9-3
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
25.
Convert to standard notation:
3.05 x 105
3.05 x 105
a)
305,000
b)
305
c)
3,050,000
d)
30,500
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