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WorksheetsReal Numbers & Applications Quiz Review
Total questions: 48
Worksheet time: 1hrs 11mins
Name
Class
Date
1.
Choose the best definition of the term INTEGERS...
a)
Whole numbers
b)
Negative numbers
c)
Negative Numbers and Positive Numbers
d)
Positive whole #s and their opposites and zero
2.
Choose the best definition of the term WHOLE NUMBERS...
a)
Numbers that have holes in them (like 0, 4, 8, etc.)
b)
Any positive #s
c)
1 and then +1 after that (1, 2, 3, 4, 5, 6...)
d)
Zero and the positive numbers with decimals of with .0
3.
Choose the best definition of the term RATIONAL NUMBERS...
a)
Numbers that can think on their own
b)
Numbers that are or can turn into FRACTIONS
c)
Decimals that never repeat or terminate
d)
Repeating decimals
4.
Choose the best definition of the term NATURAL NUMBERS...
a)
Any number that happens in life
b)
Numbers that are cool like 10
c)
The positive whole numbers (that is, not 0) that occur in real-life
d)
Number set that begins with 0
5.
A repeating decimal or decimal that terminates is called a
a)
Natural Number
b)
Irrational Number
c)
Rational Number
d)
Whole Number
6.
Whole numbers are natural numbers together with "zero."
a)
True
b)
False
7.
All whole numbers are integers.
a)
False
b)
True
8.
An example of an integer is...
a)
9.1
b)
8/9
c)
-9
d)
-2.3
9.
Determine if it is a rational or irrational number:
√20
√20
a)
Rational
b)
Irrational
10.
An irrational number:
a)
goes on forever and does not repeat.
b)
can't be turned into a fraction.
c)
includes pi and √2
d)
All of the above.
11.
a)
Rational
b)
Irrational
c)
Rational, Integer
d)
Whole, Integer, Rational
12.
Any number that can be written in fraction form, including integers, terminating and repeating decimals
a)
Whole Number
b)
Natural Number
c)
Integer
d)
Rational Number
13.
Which statement is NOT true?
a)
Every rational number is a real number.
b)
Every counting number is a whole number.
c)
Every integer is a rational number.
d)
Every decimal number is an irrational number.
14.
Which of the following sets contain only numbers that are NOT integers?
a)
〈6, -5, 1.25〉
b)
〈3⁄5, 4.5, 0.̅3〉
c)
〈-8, 4, √13, 25〉
d)
〈16⁄4, 8, 7, √9〉
15.
Marian was asked to create a set of numbers so that 2 were integers, 2 were rational numbers that were not integers, and 2 were irrational numbers. Which of the following sets would satisfy the criteria for Marian's set?
a)
〈√11, π, -3, 4, 1.5 5/12〉
b)
〈9, 100, 1.1111...., π, 06, 20/3〉
c)
〈5√2, 3π, 3, -14, 3.5, 24/12〉
d)
〈√20, 12.3456, 9, -14, 28, 4 1/2〉
16.
√289
a)
15
b)
17
c)
14
d)
13
17.
What is the side length of a square that has an area of 40 in2?
a)
20 in
b)
10 in
c)
1600 in
d)
6.3 in
18.
What is the perimeter of a square that has an area of 40 cm2?
a)
20 cm
b)
10 cm
c)
25.3 cm
d)
6.3 cm
19.
If I know the area of a square, how do I find the side length?
a)
I square the area.
b)
I divide the area by 2.
c)
I take the square root of the area.
d)
I divide the area by 4.
20.
Estimate the square root.
a)
4
b)
5
c)
6
d)
7
21.
True or false? 9² is 18
a)
True
b)
False
22.
4
a)
Is a perfect square.
b)
Is not a perfect square.
23.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
24.
The √7 would best lie on which of the following points? (starting left to right)
a)
second point
b)
first point
c)
third point
d)
fourth point
25.
Taking the square root of the ________ of a square will give you the length.
a)
diagonal
b)
perimeter
c)
area
d)
circumference
26.
The following numbers are displayed below.
√81 and 9
Which value is greater?
√81 and 9
Which value is greater?
a)
they are equivalent
b)
√81
c)
9
d)
can't be determine
27.
The following numbers are displayed below.
√8 and 2.9
Which number is greater?
√8 and 2.9
Which number is greater?
a)
same
b)
2.9
c)
√8
d)
can't be determined
28.
The √20 is between which two consecutive integers?
a)
19 and 21
b)
2 and 3
c)
5 and 6
d)
4 and 5
29.
The √11 would best lie on which of the following points? (starting left to right)
a)
fourth point
b)
second point
c)
third point
d)
first point
30.
Which number has a square root that is between 7 and 8?
a)
48
b)
81
c)
60
d)
36
31.
Point B could represent which of the following numbers?
a)
√24
b)
√30
c)
√35
d)
√42
32.
Simplify.
a)
25
b)
5
c)
7
d)
49
33.
√32
a)
16
b)
4√2
c)
6√3
d)
4√5
34.
Simplify 4√75
a)
4√5
b)
12√5
c)
20√3
d)
7√3
35.
True or False: The following list contains only perfect squares.
1, 4, 9, 27, 81, 100
1, 4, 9, 27, 81, 100
a)
True
b)
False
36.
-√196
a)
14
b)
-14
c)
98
d)
-98
37.
If you have 196 chairs and you need to arrange them in an equal amount of row and columns, how many chairs will be in each row?
a)
12
b)
13
c)
14
d)
15
38.
Working in a grocery store you are asked to set up a display of Pringles? The manager wants the display to be square. How tall will the display be if you have 225 can of Pringles?
a)
13
b)
15
c)
17
d)
18
39.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
40.
How would you write 0.0005 in scientific notation?
a)
50 x 10-5
b)
5 x 10-4
c)
5 x 10-3
d)
.5 x 10-3
41.
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
42.
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
43.
Scientific Notation is made up of two number parts. The second part is a power of base 10.
a)
True
b)
False
44.
Write 7.8 x 10-3 in standard form.
a)
0.0078
b)
7,800
c)
78
d)
0.078
45.
Write 2.08 x 102 in standard form.
a)
208
b)
0.0208
c)
20,800
d)
0.208
46.
Write 52,300,000 in scientific notation.
a)
5.23 x 107
b)
5.23 x 10-7
c)
52.3 x 106
d)
52.3 x 10-6
47.
Express the following in standard notation:
8.4 x 10-5
8.4 x 10-5
a)
0.000084
b)
0.00084
c)
84,000
d)
8,400,000
48.
If the exponent used in scientific notation is a negative number...
a)
you will get a large number
b)
you will get a small number
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