Pre-Algebra : Number Theory
Study concepts, example questions & explanations for Pre-Algebra
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Example Questions
Example Question #41 : Number Theory
What do you get when you multiply an even number with an odd number?
Even number
Prime number
Odd number
Irrational number
Imaginary number
Even number
For example, take an even number like 
Example Question #33 : Integers And Types Of Numbers
What kind of number is 
I. rational
II. irrational
III. integer
IV. imaginary
V. composite
I, III, V
II only
II, IV
III and V only
I and III only
I, III, V
Even though it's a radical, we can simplify
Check the answer.
The answer is 
Thus, the final answer is I, III, V.
Example Question #42 : Number Theory
Which is a square number?
Square numbers have one factor. If that factor is multiplied by itself, then the number becomes a perfect square. The only number in the selection that meets this requirement is 
Example Question #35 : Integers And Types Of Numbers
What are odd numbers?
Integers that have a ones digit that ends in 
All the digits of the integer must have 
Integers that have a ones digit that ends in 
Integers that have a ones digit that ends in 
Integers that have a ones digit that ends in 
Integers that have a ones digit that ends in
In order to determine if a number is odd, we will check the ones digit. It must contain 
Example Question #36 : Integers And Types Of Numbers
What number is found in the set of whole numbers but not in the set of natural numbers?
Whole numbers start from 
Example Question #46 : Number Theory
Which of the following is an odd number?
I.
II.
III.
IV.
V.
II, III, V
II, V
I, III, IV
II, III, IV
I, III, V
II, III, V
Odd numbers are integers that have a ones digit that ends in 
Example Question #43 : Number Theory
What is the product of two nonidentical prime numbers?
Prime number
Square number
Zero
Cubic number
Composite number
Composite number
When you take two prime numbers, you are creating a composite number. A compositie number has at least one more factor than one and itself. Since you multiply two prime numbers, you are increasing the factors of the new number.
Example Question #44 : Number Theory
What do you get when you divide two negative integers?
Rational numbers
Integers
Zero
Irrational number
One
Rational numbers
For example, we can take the negative integers 
Example Question #49 : Number Theory
Given the following set of numbers:
Which numbers in the set are whole numbers?
A whole number is any number without a fraction or decimal, but negative numbers are NOT whole numbers. Therefore, the only correct choices from this set are 
Example Question #45 : Number Theory
Real
Integer
Natural
Rational
Negative
Natural
Negative numbers are integers, they are real, and they are rational. Natural numbers, by definition, are whole and non-negative numbers. Therefore, 
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