Pre-Algebra : Number Theory
Study concepts, example questions & explanations for Pre-Algebra
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Example Questions
Example Question #1 : Integers And Types Of Numbers
Which of the following is not a natural number?
Natural numbers are considered the "counting numbers". They are all of the integers from 1 until infinity. 0 and negative integers are not natural numbers, therefore, the answer to this problem is 
Example Question #2 : Integers And Types Of Numbers
Which of the following describes the number 
all of the other choices
whole number
integer
natural number
integer
Natural numbers are the counting numbers from 
Example Question #3 : Integers And Types Of Numbers
Which of these numbers is an integer but not a whole number?
The whole numbers are the elements of the set
The integers are the the elements of the set
The numbers that belong to the former but not the latter are exactly the set of negative integers. Of the given choices, only 
Example Question #3 : Integers And Types Of Numbers
Evaluate:
First evaluate everything inside of the absolute value. 3-5=-2.
The absolute value then turns all negative numbers into a positive number, so the -2 becomes a positive 2.
Example Question #2 : Integers And Types Of Numbers
If a and b are even integers, what must be odd?
The sum (or difference) or 2 even integers is even. Similarly, the product (or quotient) of 2 even integers is also even; therefore the answer must be 
For example, if 
Example Question #3 : Properties Of Integers
What is the greatest prime factor of
The only prime factors are 3 and 5, therefore, 5 will be the greatest prime factor.
Example Question #4 : Integers And Types Of Numbers
Is 
Fraction
Decimal
None
Integer
Fraction
A fraction is a number with a numerator and denominator that can not be simplified into an integer so the number 
Example Question #5 : Integers And Types Of Numbers
Which of the following is an integer?
-100.1
1.5
Integers are any number that doesn't have anything in the decimal places. They are also known as whole numbers. The cubed root of 64 is 4, which is the only whole number out of the answer choices.
Example Question #5 : Integers And Types Of Numbers
Which of the following is NOT an integer?
-4
1024
An integer is simply a whole negative or positive number, which means it can be expressed without decimal places. Any number can be considered an integer as long as it fits this criteria. They can be expressed as square roots, fractions, or anything else, as long as the final answer is a whole number. In this question, the only answer that is not a whole number is 
Example Question #11 : Integers And Types Of Numbers
Which of the following is not an integer?
By definition, an integer is a whole number that is either positive or negative. Negative numbers such as 
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