Download Name Complex Number System Review Define the following: Real

Name ___________________________________
Complex Number System Review
Define the following:
Real Numbers – all numbers that have a place on the number line
Complete the diagram with the following subsets:
Natural Numbers, Integers, Rational Numbers, Whole Numbers and Irrational Numbers .
Rational Numbers
Integers
Irrational
Whole Numbers
Natural or
Counting
Numbers
True or False? If false, tell why.
1) All natural numbers also whole numbers. True
2) All whole numbers are also integers. True
3) All integers are also natural numbers. False. 0 and negative integers are not natural
numbers.
4) All negative numbers are integers. False. Negative fractions and terminating or repeating
1
decimals can be rational, but not integers. Ex. ̶
(see #9)
3
5) All repeating decimals are irrational. False. Repeating decimals are rational, and a
number can’t be both rational and irrational.
Give an example for each of the following. (There are many possible answers for #6-9).
6) A number that is an integer but not a natural number. ̶ 4 or 0
7) A number that is a whole number and a counting number. 10
8) A number that is an even number. 2 (or ̶ 2)
1
9) A rational number that is not an integer. 4.6 or ̶
3
10) A non-positive number greater than -1 0
Which of the sets would the following numbers be part of? Circle all that apply.
11) 100
natural
whole
integer
rational
irrational
115
100
natural
whole
integer
rational
irrational
natural
whole
integer
rational
irrational
12)
13)  0.246
14) All integers greater than -1
natural
whole
integer
rational
irrational
15) All factors of 25
natural
whole
integer
rational
irrational
16) All integers between -1 and 7 natural
whole
integer
rational
irrational
17) -4.56789101112…
natural
whole
integer
rational
irrational
natural
whole
integer
rational
irrational
18)
1
3
Roster and graph the set of numbers described.
19) Counting numbers less than 7 {1,2,3,4,5,6}
●
0
20)
● ● ●
1 2 3 4
●
●
5 6
Negative numbers less than -3 {… -7, -6, -5, -4}
●
●
●
●
-7 -6 -5 4 -3 -2 -1 0
21) All non-negative integers {0, 1, 2, 3 …}
●
● ● ●
0 1 2 3
● ●
4 5