Classifying Real Numbers

Front

What is a Rational Number?

Back

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

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

What is an Integer?

Back

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

Front

What is a Whole Number?

Back

A whole number is a non-negative integer, which includes zero and all positive integers.

Front

Can a rational number be a decimal?

Back

Yes, a rational number can be a decimal, especially if it terminates or repeats.

Front

Is -5.5 an integer?

Back

No, because integers do not have decimal parts.

Front

What defines a repeating decimal?

Back

A repeating decimal is a decimal that has a sequence of digits that repeats indefinitely.

Front

Is 0 a rational number?

Back

Yes, because 0 can be expressed as 0/1, which is a ratio of two integers.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions, while irrational numbers cannot be expressed as fractions.

Front

Can a number be both rational and irrational?

Back

No, a number cannot be both; it is either rational or irrational.