Classifying Real Numbers

Front

What is a rational number?

Back

A rational number can be positive or negative, can be a decimal, and can be expressed as a ratio of two integers.

Front

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

Back

No, because a pattern is not a repeating decimal.

Front

What type of number is -5.5?

Back

Rational Number.

Front

Are all negative numbers integers?

Back

No, because integers do not have decimals.

Front

What is an irrational number?

Back

An irrational number cannot be expressed as a simple fraction and has a non-repeating, non-terminating decimal.

Front

Give an example of a rational number.

Back

1/2, -3, or 0.75.

Front

What is the difference between integers and whole numbers?

Back

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

Front

Can a whole number be a rational number?

Back

Yes, all whole numbers are also rational numbers because they can be expressed as a ratio (e.g., 5 = 5/1).

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal that has a digit or group of digits that repeat infinitely (e.g., 0.333...).

Front

Is 0 a rational number?

Back

Yes, because it can be expressed as 0/1.