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Example Questions
Example Question #32 : Number Theory
What is a composite number?
Irrational numbers
Cubic numbers
A positive integer with at least one other factor besides one and itself
Negative integers
A positive integer with just factors of one and itself
A positive integer with at least one other factor besides one and itself
Composite numbers have at least one factor other than one and itself. For example, is a composite number. The factors are .
Example Question #31 : Integers And Types Of Numbers
What do you get when you multiply an even number with an odd number?
Irrational number
Even number
Imaginary number
Prime number
Odd number
Even number
For example, take an even number like and an odd number like . Their product is which is an even number. No matter what examples we use; we will find that the answer is always even. Furthermore, it can never be a square number because the multiplicand and multiplier will be two different numbers (one odd and one even).
Example Question #33 : Integers And Types Of Numbers
What kind of number is ?
I. rational
II. irrational
III. integer
IV. imaginary
V. composite
III and V only
II, IV
I, III, V
I and III only
II only
I, III, V
Even though it's a radical, we can simplify.
Check the answer.
The answer is .
is an integer and a composite number with factors of . Furthermore, it can be expressed a rational number .
Thus, the final answer is I, III, V.
Example Question #32 : Integers And Types Of Numbers
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 . We can multiply twice to get the perfect square .
Example Question #33 : Integers And Types Of Numbers
What are odd numbers?
Integers that have a ones digit that ends in , , , , or
Integers that have a ones digit that ends in , , , , or
Integers that have a ones digit that ends in , , , , or
Integers that have a ones digit that ends in , , , , or
All the digits of the integer must have , , , , or
Integers that have a ones digit that ends in , , , , or
In order to determine if a number is odd, we will check the ones digit. It must contain , , , , or . The answer is integers that have a ones digit that ends in , , , , or .
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 and include all positive integers. On the other hand, natural numbers are all positive integers that we can count starting from . The only difference is that is found in whole numbers but not in the natural numbers series. Thus, is the correct answer.
Example Question #37 : Integers And Types Of Numbers
Which of the following is an odd number?
I.
II.
III.
IV.
V.
II, III, V
II, V
I, III, IV
I, III, V
II, III, IV
II, III, V
Odd numbers are integers that have a ones digit that ends in , , , , or . Choices II, III, V are odd numbers because they have a ones digit of , , and respectively.
Example Question #34 : Integers And Types Of Numbers
What is the product of two nonidentical prime numbers?
Zero
Cubic number
Prime number
Square 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 #35 : Integers And Types Of Numbers
What do you get when you divide two negative integers?
One
Zero
Integers
Irrational number
Rational numbers
Rational numbers
For example, we can take the negative integers and . When we divide , we get an answer of . This is an integer and a rational number. However, if we reverse it , we get an answer of . This is not an integer but it is a rational number. Integers can be rational numbers as they are expressed as any number over one. Futhermore, rational numbers are defined as the expression of any quotient or fraction possessing a non-zero denominator. Thus, our answer is rational numbers.
Example Question #40 : Integers And Types Of Numbers
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 and , which are neither negative nor have decimals.
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