Classifying Real Numbers

Front

What is a Rational Number?

Back

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

Front

What are the characteristics of Rational Numbers?

Back

Rational numbers can be positive or negative, can be whole numbers, integers, or fractions, and can also be expressed as decimals.

Front

What is an Irrational Number?

Back

An irrational number is a number that cannot be expressed as a ratio of two integers. Its decimal representation is non-repeating and non-terminating.

Front

Give an example of a Rational Number.

Back

Examples include 1/2, -3, 0.75, and 4.

Front

Give an example of an Irrational Number.

Back

Examples include √2, π (pi), and e (Euler's number).

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

Is -5.5 an Integer?

Back

No, because integers do not have decimal parts.

Front

Is 0.333... a Rational Number?

Back

Yes, because it can be expressed as the fraction 1/3.

Front

What is the difference between a repeating decimal and a non-repeating decimal?

Back

A repeating decimal has a digit or group of digits that repeat indefinitely (e.g., 0.666...), while a non-repeating decimal does not (e.g., 0.123456...).