Rational and Irrational Numbers

Front

What are rational numbers?

Back

Rational numbers are numbers that can be expressed as a fraction, where both the numerator and the denominator are integers, and the denominator is not zero.

Front

What are irrational numbers?

Back

Irrational numbers are numbers that cannot be expressed as a simple fraction. They have non-repeating, non-terminating decimal expansions.

Front

Is 0 a rational number?

Back

Yes, 0 is a rational number because it can be expressed as 0/1.

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer, such as 1, 4, 9, 16, etc.

Front

Are all whole numbers rational numbers?

Back

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

Front

What is a terminating decimal?

Back

A terminating decimal is a decimal that has a finite number of digits after the decimal point, such as 0.75.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal that has one or more digits that repeat infinitely, such as 0.333... or 0.142857142857... .

Front

Is -6 a rational number?

Back

Yes, -6 is a rational number because it can be expressed as -6/1.

Front

Can irrational numbers be expressed as fractions?

Back

No, irrational numbers cannot be expressed as fractions.

Front

What is the square root of 2?

Back

The square root of 2 is an example of an irrational number, approximately equal to 1.41421356.