Pre-Algebra : Number Theory
Study concepts, example questions & explanations for Pre-Algebra
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Example Questions
Example Question #51 : Number Theory
Which if the following is not an integer?
None of the other answers.
None of the other answers.
Integers comprise negative numbers as well as positive numbers. Even zero is an integer. The caveat of integers is that they must be able to be expressed without fractions. They have to be whole. While 
Example Question #52 : Number Theory
Which of the following is an integer?
The correct answer will yield a whole number as a simplified answer. Integers cannot contain decimals quantities.
The only answer that will yield a whole number term is 
The correct answer is:
Example Question #52 : Number Theory
Simplify, if possible:
Combine like-terms.
The square roots cannot be combined unless they are multiplied, which means they must be separate terms.
The answer is:
Example Question #53 : Number Theory
Which of the following is NOT an integer?
An integer is a whole number, or a number that is not a fraction.
Therefore, since 
Example Question #54 : Number Theory
Which of the following is NOT a natural number?
Natural numbers are numbers are referred to as counting numbers or positive integers. When we count objects, we do not include the number zero. Therefore, the number zero is NOT a natural number.
Example Question #55 : Number Theory
Which of the following is an integer?
Which of the following is an integer?
An integer is any positive or negative whole number including zero.
So, the only integer provided must be "4," because no other option fits the definition.
Example Question #56 : Number Theory
Which set of numbers is considered to be whole numbers? Choose the best answer.
Whole numbers are considered any positive whole number including 0.
The best answer is :
Example Question #1 : Irrational Numbers
Which of the following expressions is irrational?
An irrational number is defined as any number that cannot be expressed as a simple fraction or does not have terminating or repeating decimals. Of the answer choices given, the only number that cannot be expressed as a simple fraction or with repeating or terminating decimals is 
Example Question #1 : Grade 8
Which of the following is an irrational number?
An irrational number is any number that can not be expressed as a ratio of integers, i.e. a fraction. Therefore, the only irrational number listed is 
Example Question #1 : The Number System
Which of these expressions is not irrational?
The square root of an integer is either an irrational number or an integer. The latter is the case if and only if there is an integer which, when multiplied by itself, or squared, yields the number inside the symbol (the radicand) as the product. Of 
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