Classify Real Numbers

Front

-1.4 is not included in the set of ______ because it has a decimal (or fractional) part.

Back

integers

Front

Repeating decimals are _____ numbers.

Back

rational

Front

Rational numbers include any number that can be written as a ratio (or _______).

Back

fraction

Front

What are the two main categories of real numbers?

Back

Rational numbers and irrational numbers.

Front

What is a rational number?

Back

A number that can be expressed as a fraction a/b, where a and b are integers and b ≠ 0.

Front

What is an irrational number?

Back

A number that cannot be expressed as a simple fraction; its decimal representation is non-repeating and non-terminating.

Front

Give an example of a rational number.

Back

1/2, 0.75, or -3.

Front

Give an example of an irrational number.

Back

√2, π, or e.

Front

What is the set of integers?

Back

The set of whole numbers that can be positive, negative, or zero: {..., -3, -2, -1, 0, 1, 2, 3, ...}.

Front

Are all whole numbers rational?

Back

Yes, all whole numbers can be expressed as a fraction (e.g., 5 = 5/1).