Algebra II : Types of Numbers
Study concepts, example questions & explanations for Algebra II
All Algebra II Resources
Example Questions
Example Question #1 : Types Of Numbers
Which of the following describes the number 
real, rational
real, natural
imaginary, irrational
real, irrational
real, irrational
Example Question #2 : Types Of Numbers
Which of the following sets of numbers contain only natural numbers.
Natural numbers are simply whole, non-negative numbers.
Using this definition, we see only one set of numbers within our answer choices containing only whole, non-negative numbers. Any set containing decimals or negative numbers, will violate our defintion of natural numbers and thus be an incorrect answer.
Example Question #3 : Types Of Numbers
What is the value of 
There is a repeating pattern of four exponent values of 
Example Question #4 : Types Of Numbers
Simplify 
Multiplying out using FOIL (First, Inner, Outer, Last) results in,
Remember that 
Example Question #5 : Types Of Numbers
Which of these numbers is prime?
For a number to be prime it must only have factors of one and itself.
10 has factors 1, 2, 5, 10.
15 has factors 1, 3, 5, 15.
18 has factors 1, 2, 3, 6, 9, 18.
The only factors of 13 are 1 and 13. As such it is prime.
Example Question #6 : Types Of Numbers
Which of the below is an irrational number?
Irrational numbers are defined by the fact that they cannot be written as a fraction which means that the decimals continue forever.
Looking at our possible answer choices we see,
Therefore since,
we can conclude it is irrational.
Example Question #7 : Types Of Numbers
Which of the following describes the type of 
None of these options describe 
An irrational number is a number that cannot be written in fraction form. In other words a nonrepeating decimal is an irrational number.
The 
Therefore, 
Example Question #6 : Types Of Numbers
What is the most specific classification for the x-intercepts to the equation graphed:
imaginary
integer
irrational
rational
real
imaginary
The graph shown never intersects with the x-axis. This means that the x-intercepts must be imaginary.
Example Question #6 : Types Of Numbers
What is the most specific classification for
counting number
irrational
imaginary
natural number
rational
irrational
The square root of 5 is irrational since it is a non-terminating, non-repeating decimal that cannot be expressed as a fraction.
Example Question #1 : Types Of Numbers
Which of the following is a rational number?
Certified Tutor
All Algebra II Resources
