Pre-Algebra : Number Theory

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #21 : Number Theory

What type of number is ?

 

 

Possible Answers:

None

Irrational

Integer

Decimal

Fraction

Correct answer:

Fraction

Explanation:

An integer is a whole number, either positive or negative. In other words, it is a number that can be written without a fractional or decimal part. Examples are:

  is therefore not an integer, but it is a fraction.

Example Question #22 : Number Theory

is an example of _____________.

Possible Answers:

an integer

a fraction

a decimal

an irrational number

a complex number

Correct answer:

an integer

Explanation:

An integer is any positive or negative whole number.

Therefore, is an integer.

Example Question #23 : Number Theory

Which of the following is not an integer? 

Possible Answers:

Correct answer:

Explanation:

Integers are all counting numbers, and include both  and all negative counting numbers. Thus, keeping this definition in mind, we can see that the value which is not an integer is  since it has digits after the decimal point. 

Example Question #21 : Number Theory

What do you get when you add two negative integers?

Possible Answers:

Sometimes negative

Sometimes positive

Always positive

Always negative

zero

Correct answer:

Always negative

Explanation:

When you add two negative numbers, the answer is always negative. When adding negative numbers, we treat as an addition problem but we need to add the negative sign afterwards. Two negative numbers can never add to zero. 

Example Question #22 : Number Theory

Which is a rational number?

Possible Answers:

Correct answer:

Explanation:

All the numbers are irrational numbers. They are basically numbers that can't be expressed as fractions. They dont have definite values.  is an imaginary number that contains the letter .

Example Question #23 : Number Theory

What is an integer?

 

Possible Answers:

Only negative numbers.

A number that can either be positive, negative or zero and must be a whole number.

Just numbers from one to ten. 

Any number. 

Only positive numbers. 

Correct answer:

A number that can either be positive, negative or zero and must be a whole number.

Explanation:

An integer is a number that is whole and doesn't have a decimal or a fraction. The number can be positive, negative, or zero. 

Example Question #24 : Number Theory

Which of the following is NOT an integer?

Possible Answers:

Correct answer:

Explanation:

An integer is a number that has no decimals or fractions. They must be whole numbers whether positive, negative or zero.  is an irrational number which means it doesn't have a definite value. All the other choices have definite value. 

Example Question #18 : Integers And Types Of Numbers

What's a natural number?

Possible Answers:

Negative integers only

Imaginary numbers

Positive integers only

Negative integers and zero

Positive integers and zero

Correct answer:

Positive integers and zero

Explanation:

Natural numbers are numbers that occur naturally meaning they range from zero onwards. Negative numbers dont occur naturally. 

Example Question #19 : Integers And Types Of Numbers

What are counting numbers?

Possible Answers:

Irrational numbers

Zero

Negative integers

Positive integers

Natural numbers

Correct answer:

Positive integers

Explanation:

Counting numbers are numbers you can count with your hands. We start from one and onward. They are the same as positive integers. 

Example Question #25 : Number Theory

What are prime numbers?

Possible Answers:

Numbers that have a factor of one and itself

Number with multiple factors besides one and itself

All fractional numbers

Trignometric functions

Negative integers that have a factor of  and itself

Correct answer:

Numbers that have a factor of one and itself

Explanation:

Example of prime numbers are . Their factors are one and itself. They are also positive integers. 

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