What is an irrational number?

An irrational number cannot be expressed as a simple fraction; its decimal representation goes on forever without repeating.

What is a whole number?

Whole numbers are non-negative integers, including zero (0, 1, 2, 3, ...).

Integers are whole numbers that can be positive, negative, or zero (..., -3, -2, -1, 0, 1, 2, 3, ...).

Classify the number $$\text{0}$$ .

Rational Number (it can be expressed as $$\frac{0}{1}$$ ).

What is the decimal representation of a rational number?

The decimal representation of a rational number either terminates or repeats.

What is the decimal representation of an irrational number?

The decimal representation of an irrational number is non-terminating and non-repeating.

Real Number System Flashcards: 15 Cards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is a real number?

Back

A real number is any number that can be found on the number line, including both rational and irrational numbers.

2.

FLASHCARD QUESTION

Front

Classify the number √35.

Back

Irrational

3.

FLASHCARD QUESTION

Front

Classify the number 1.01276894...

Back

Irrational

4.

FLASHCARD QUESTION

Front

How can you tell if a number is rational?

Back

It can be written as a ratio of two integers (a fraction).

5.

FLASHCARD QUESTION

Front

What type of number is $\frac{1}{2}$ ?

Back

Rational Number

6.

FLASHCARD QUESTION

Front

What type of number is $\frac{3}{0}$ ?

Back

Undefined (not a real number).

7.

FLASHCARD QUESTION

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction $\frac{a}{b}$ where $a$ and $b$ are integers and @@b eq 0@@.

10.

FLASHCARD QUESTION

Front

What type of number is $\text{π}$ ?

Back

Irrational Number

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