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

Is 5.676677666777... a rational number?

Back

No, because a pattern is not a repeating decimal.

Front

What are the characteristics of rational numbers?

Back

Rational numbers can be positive or negative, can be expressed as a fraction, and can be decimals that terminate or repeat.

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but cannot have a fractional or decimal part.

Front

Is -5.5 an integer?

Back

No, because integers do not have decimals.

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

Can a rational number be a decimal?

Back

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

Front

What is the difference between whole numbers and integers?

Back

Whole numbers are non-negative integers (0, 1, 2, 3, ...), while integers include negative numbers as well (-1, -2, ...).

Front

Give an example of a rational number.

Back

1/2, 0.75, or -3 are all examples of rational numbers.

Front

What is the decimal representation of 1/4?

Back

0.25, which is a terminating decimal.