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 numbers without fractions or decimals, including 0, 1, 2, 3, etc.

Front

What is an integer?

Back

Integers are whole numbers that can be positive, negative, or zero, such as -3, 0, and 5.

Front

How can 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 3/4?

Back

The decimal representation of 3/4 is 0.75.

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., 5 = 5/1).

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 two rational numbers?

Back

The sum of two rational numbers is always a rational number.