Classifying Rational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

Give an example of a rational number.

Back

Examples of rational numbers include 1/2, -3, 0.75, and 4.

Front

What is the difference between a proper fraction and an improper fraction?

Back

A proper fraction has a numerator smaller than its denominator (e.g., 1/2), while an improper fraction has a numerator larger than or equal to its denominator (e.g., 5/4 or 3/3).

Front

What is a whole number?

Back

Whole numbers are non-negative integers, including zero (0, 1, 2, 3, ...).

Front

What is an integer?

Back

Integers are whole numbers that can be positive, negative, or zero (..., -3, -2, -1, 0, 1, 2, 3, ...).

Front

How do you classify the number -2.5?

Back

-2.5 is a rational number because it can be expressed as -5/2.

Front

What is the decimal representation of 1/4?

Back

The decimal representation of 1/4 is 0.25.

Front

What is the relationship between rational numbers and integers?

Back

All integers are rational numbers because they can be expressed as a fraction with a denominator of 1 (e.g., 3 = 3/1).

Front

Can a repeating decimal be classified as a rational number?

Back

Yes, a repeating decimal (e.g., 0.333...) can be classified as a rational number because it can be expressed as a fraction.

Front

What is the sum of 1/3 and 1/6?

Back

The sum of 1/3 and 1/6 is 1/2.