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. It can be positive, negative, or zero.

Front

Is 5.676677666777... a rational number? Why or why not?

Back

No, because it is a decimal that 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 have any fractional or decimal part.

Front

Is -5.5 an integer? Why or why not?

Back

No, because integers do not have decimals.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as a simple fraction and have non-repeating, non-terminating decimal expansions.

Front

Can a rational number be a decimal?

Back

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

Front

What are whole numbers?

Back

Whole numbers are non-negative integers, including zero (0, 1, 2, 3, ...). They do not include negative numbers or fractions.

Front

What is an example of an irrational number?

Back

An example of an irrational number is √2 or π (pi), as they cannot be expressed as a fraction.

Front

Can a negative number be a rational number?

Back

Yes, negative numbers can be rational if they can be expressed as a ratio of two integers.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats a sequence of digits indefinitely, such as 0.333... or 1.666... .