Which of the following is an example of an irrational number: $$\frac{1}{2}$$ , $$\frac{3}{4}$$ , $$\frac{22}{7}$$ , or $$\frac{\text{sqrt}{2}}{1}$$ ?

$$\frac{\text{sqrt}{2}}{1}$$ is an example of an irrational number.

Is $$\frac{3}{8}$$ a rational number?

Yes, $$\frac{3}{8}$$ is a rational number because it can be expressed as a fraction.

Why is $$\text{sqrt}{2}$$ considered irrational?

$$\text{sqrt}{2}$$ is considered irrational because it cannot be expressed as a fraction of two integers.

What type of number is $$\text{pi}$$ (π)?

$$\text{pi}$$ (π) is an irrational number.

Which of the following is a rational number: $$\text{sqrt}{25}$$ , $$\text{sqrt}{12}$$ , or π?

$$\text{sqrt}{25}$$ is a rational number because it equals 5.

What is a perfect square?

A perfect square is a number that can be expressed as the square of an integer.

Is $$\text{sqrt}{45}$$ rational or irrational?

$$\text{sqrt}{45}$$ is irrational because it cannot be simplified to a fraction.

What is the difference between terminating and non-terminating decimals?

Terminating decimals have a finite number of digits after the decimal point, while non-terminating decimals go on forever.

Give an example of a terminating decimal.

0.75 is an example of a terminating decimal.

What is the significance of the number 0 in rational numbers?

0 is a rational number because it can be expressed as $$\frac{0}{1}$$ .

Can an integer be a rational number?

Yes, all integers are rational numbers because they can be expressed as a fraction with a denominator of 1.

What is the sum of two rational numbers?

The sum of two rational numbers is always a rational number.

Rational and Irrational Numbers Flashcards

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1.

FLASHCARD QUESTION

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

2.

FLASHCARD QUESTION

Front

What is an irrational number?

Back

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

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What is the decimal representation of an irrational number like?

Back

The decimal representation of an irrational number never ends and never repeats.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

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Back

7.

FLASHCARD QUESTION

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