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

Is -16 a rational number?

Back

Yes, -16 is a rational number because it can be expressed as -16/1.

Front

What are integers?

Back

Integers are whole numbers that can be positive, negative, or zero, but do not include fractions or decimals.

Front

Are all integers whole numbers?

Back

No, not all integers are whole numbers. Whole numbers are non-negative integers (0, 1, 2, ...), while integers include negative numbers.

Front

What is the relationship between integers, whole numbers, and natural numbers?

Back

Natural numbers are positive integers (1, 2, 3, ...), whole numbers include natural numbers and zero (0, 1, 2, ...), and integers include all whole numbers and their negative counterparts.

Front

Can a fraction be a whole number?

Back

Yes, a fraction can be a whole number if the numerator is a multiple of the denominator (e.g., 12/3 = 4, which is a whole number).

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 Venn diagram used for in mathematics?

Back

A Venn diagram is used to show the relationships between different sets, illustrating how they overlap and differ.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions of integers, while irrational numbers cannot be expressed as such and have non-repeating, non-terminating decimal expansions.

Front

Give an example of a rational number that is not an integer.

Back

An example of a rational number that is not an integer is 1/2.