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 is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but does not have any decimal or fractional 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, and its decimal representation goes on forever without repeating.

Front

Can a rational number be negative?

Back

Yes, rational numbers can be positive or negative.

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 decimal be a rational number?

Back

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

Front

What is the difference between a rational number and an irrational number?

Back

Rational numbers can be expressed as a fraction, while irrational numbers cannot.

Front

Give an example of a rational number.

Back

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