Classifying Real Numbers

Front

What is a rational number?

Back

A rational number can be expressed as a ratio of two integers, where the denominator is not zero. It can be positive or negative and can also be a decimal.

Front

Are all integers whole numbers?

Back

Yes, all integers are whole numbers, but not all whole numbers are integers. Whole numbers are non-negative integers.

Front

Is -5.5 an integer?

Back

No, because integers do not have decimals.

Front

What defines an irrational number?

Back

An irrational number cannot be expressed as a ratio of two integers and has a non-repeating, non-terminating decimal expansion.

Front

Can a number be both rational and irrational?

Back

No, a number cannot be both rational and irrational. They are mutually exclusive categories.

Front

What is the difference between a whole number and an integer?

Back

Whole numbers are non-negative integers (0, 1, 2, ...), while integers include all positive and negative whole numbers as well as zero.

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 repeating decimal?

Back

A repeating decimal is a decimal that has a digit or group of digits that repeat infinitely, such as 0.333... or 1.666... .

Front

Is 5.676677666777... a rational number?

Back

No, because it is a decimal that does not repeat.

Front

What is an example of an irrational number?

Back

An example of an irrational number is √2 or π (pi).