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WorksheetsHobbs NS1, NS2, EE3 and EE4
Total questions: 68
Worksheet time: 1hrs 24mins
Name
Class
Date
1.
Scientific Notation is made up of two number parts. The second part is a power of base 10.
a)
True
b)
False
2.
How do you write
1001
in scientific notation?
1001
in scientific notation?
a)
1.0001 x 104
b)
1.01 x 105
c)
1.001 x 103
d)
10.1 x 103
3.
How do you write
8.317 x 106
in standard form?
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
4.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
5.
Express the following in scientific notation:
.000457
.000457
a)
457 x 106
b)
457 x 10-6
c)
4.57 x104
d)
4.57 x 10-4
6.
UNDERSTANDING
If the exponent is a positive number...
If the exponent is a positive number...
a)
you will get a large number
b)
you will get a smaller number
7.
UNDERSTANDING
If the exponent is a negative number...
If the exponent is a negative number...
a)
you will get a large number
b)
you will get a small number
8.
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
9.
Solve: (9.21 x 109) - (6 x 109)
a)
3.21 x 1018
b)
1.521 x 1010
c)
15.21 x 109
d)
3.21 x 109
10.
Solve:
(2.1×102) × (3.0×104)
(2.1×102) × (3.0×104)
a)
5.1 x 102
b)
6.3 x 106
c)
5.1 x 106
d)
6.3 x 108
11.
The Statue of Liberty weighs 450,000 pounds. What is this number written in scientific notation?
a)
4.5 x 10-5
b)
45 x 10-4
c)
45 x 104
d)
4.5 x 105
12.
Write the answer in scientific notation.
7.3 x 105 + 3.7 x 105 =
7.3 x 105 + 3.7 x 105 =
a)
11.0 x 105
b)
1.1 x 1010
c)
1.10 x 1011
d)
1.1 x 10 6
13.
ANY number raised to a power of 0 will be....
a)
10
b)
itself
c)
1
d)
0
14.
Which of the following numbers is the SMALLEST?
a)
8.7 x 103
b)
3 x 104
c)
1.3 x 108
d)
9 x 102
15.
Which of the following in the LARGEST number?
a)
9 x 106
b)
8 x 1010
c)
1.3 x 1012
d)
5.3 x 103
16.
If the mass of one electron is approximately 9x 10-31 kilograms and a molecule has 4 electrons, what is the total weight written in scientific notation?
a)
3.6 x 10⁻³¹
b)
3.6 X 10 ⁻³⁰
c)
3.6 x 10 ⁻³²
d)
36 x 10⁻³¹
17.
If there are 3x10⁴ pieces of trash in one square mile of the ocean, how many pieces of trash are in 5x10⁵ square miles of ocean?
a)
1.5 x 10¹⁰
b)
8 x 10 ⁹
c)
1.5 x 10²⁰
d)
none of the above
18.
If the total weight of a group of humpback whales is 3x 10⁵ pounds and one humpback whale weighs 6x10² pounds, how many whales are in the group?
a)
5 x 10²
b)
2 x 10³
c)
.5 x 10²
d)
.2 x 10³
19.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
20.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
none of these
c)
5 x 103
d)
.5 x 103
21.
What type of number can be expressed as fraction and its decimal terminates or repeats?
a)
Rational
b)
Irrational
c)
Integer
d)
Whole
22.
What number CANNOT be expressed as a fraction and its decimal representation repeats or terminates?
a)
Rational
b)
Irrational
c)
Integer
d)
Whole
23.
What number is an integer but not a whole number?
a)
8
b)
-17
c)
0
d)
0.5
24.
What number is an irrational number?
a)
Square root of 25
b)
Square root of 49
c)
Square root of 50
d)
Square root of 81
25.
The number -8 belongs to what number set(s)?
a)
Whole
b)
Integer
c)
Rational
d)
Integer and Rational
26.
Is 0.33333333333... rational or irrational?
a)
Rational
b)
Irrational
c)
Both
d)
None of the above
27.
Is square root of 2?
a)
Rational
b)
Irrational
c)
None of the above
d)
Both
28.
Is the square root of 7 rational or irrational?
a)
Rational
b)
Irrational
c)
Both
d)
None of the above
29.
Classify this number: √25
a)
real
b)
real rational
c)
real rational integer
d)
real rational integer whole
30.
Classify this number: -12
a)
real
b)
real rational
c)
real irrational
d)
real rational integer
31.
Is ½ a terminating decimal or a repeating decimal?
a)
terminating decimal
b)
repeating decimal
32.
An integer is also...
a)
Whole
b)
Rational
c)
Irrational
d)
Not real
33.
A number can be rational and irrational.
a)
True
b)
False
34.
x3 = 125
a)
5
b)
-5
c)
5,-5
35.
√200 is between
a)
13 and 14
b)
15 and 16
c)
14 and 15
d)
11 and 12
36.
What is the cube root of 8?
a)
4
b)
2
c)
-2
d)
2,-2
37.
√40 is between
a)
8 and 9
b)
7 and 8
c)
5 and 6
d)
6 and 7
38.
t3 = 64 What is t?
a)
2
b)
4
c)
8
d)
16
39.
a)
9/12
b)
3/4
c)
4/8
d)
5/4
40.
The √136 is between which two numbers?
a)
9 and 10
b)
10 and 11
c)
11 and 12
d)
12 and 13
41.
The value of √154 is located between which two consecutive whole numbers?
a)
77 and 78
b)
38 and 39
c)
15 and 16
d)
12 and 13
42.
Simplify ∛343.
a)
7
b)
±7
c)
-7
43.
Find the cube root(s): ∛1
a)
1
b)
-1
c)
±1
d)
none
44.
√25
a)
5
b)
-5
c)
±5
d)
None
45.
–√25
a)
5
b)
-5
c)
±5
d)
None
46.
∛8
a)
2
b)
-2
c)
±2
d)
None
47.
∛-8
a)
2
b)
-2
c)
±2
d)
None
48.
5³⋅5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
49.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
50.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
51.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
52.
According to exponent rules, when we multiply the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
53.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
54.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
55.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
56.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
57.
7⁰
a)
1
b)
7
c)
0
d)
-7
58.
(34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
59.
(3y⁴)²
a)
9y⁸
b)
9y⁶
c)
6y⁸
d)
6y⁶
60.
3x⁻³
a)
1⁄3x³
b)
3⁄x³
c)
3x³
d)
-3x³
61.
a)
a
b)
b
62.
a)
a
b)
b
63.
Can you leave a negative exponent in your answer?
a)
YES
b)
NO
64.
In 23 what is the base?
a)
2
b)
3
c)
23
65.
In 23 what is the exponent?
a)
2
b)
3
c)
23
66.
a)
a
b)
b
67.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
68.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
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