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 terminating or repeating decimal.

Front

Is -5.5 an integer?

Back

No, because integers do not have decimals.

Front

What defines an integer?

Back

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

Front

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

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction and has a non-repeating, non-terminating decimal expansion.

Front

Can a whole number be a negative number?

Back

No, whole numbers are non-negative integers, including zero.

Front

What is an example of a repeating decimal?

Back

0.333... (which is equal to 1/3) is an example of a repeating decimal.

Front

Is 5.676677666777... a rational number?

Back

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

Front

What is an example of an irrational number?

Back

The square root of 2 (√2) is an example of an irrational number.

Front

What are the four types of real numbers?

Back

The four types of real numbers are rational numbers, irrational numbers, integers, and whole numbers.

Front

Can a rational number be a decimal?

Back

Yes, a rational number can be a decimal if it is either terminating or repeating.