Rational and Irrational numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction, where both the numerator and the denominator are integers, and the denominator is not zero.

Front

Can a rational number be a whole number?

Back

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

Front

What is an example of a terminating decimal?

Back

1/2 is an example of a terminating decimal because it can be expressed as 0.5.

Front

What is an example of a repeating decimal?

Back

1/3 is an example of a repeating decimal because it can be expressed as 0.333... (with 3 repeating).

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.

Front

Give an example of an irrational number.

Back

√2 is an example of an irrational number.

Front

What is the value of pi (π)?

Back

Pi (π) is an irrational number approximately equal to 3.14159.

Front

Which number is between 7 and 8?

Back

√59 is between 7 and 8.

Front

Is the square root of a perfect square a rational number?

Back

Yes, the square root of a perfect square (like √1, √4, √9) is a rational number.

Front

What is the decimal representation of 1/4?

Back

The decimal representation of 1/4 is 0.25, which is a terminating decimal.