Categorizing 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

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

Front

Are all integers rational numbers?

Back

True. All integers can be expressed as a fraction with a denominator of 1.

Front

Are all fractions integers?

Back

False. Fractions can represent numbers that are not whole, such as 1/2 or 3/4.

Front

What is a negative number?

Back

A negative number is a number that is less than zero, often used to represent a loss or a deficit.

Front

Are all negative numbers integers?

Back

False. Negative numbers can be fractions or decimals, such as -1/2 or -3.5.

Front

What is a whole number?

Back

A whole number is a non-negative integer, which includes zero and all positive integers.

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 (e.g., √2, π).

Front

Can a number be both rational and irrational?

Back

No, a number cannot be both rational and irrational. They are mutually exclusive categories.

Front

What is an example of a rational number?

Back

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