#1 Number Sets

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

Provide an example of a rational number.

Back

-⅜ is an example of a rational number.

Front

What set contains all integers?

Back

The set of integers includes all whole numbers, both positive and negative, as well as zero. An example set is {..., -2, -1, 0, 1, 2, ...}.

Front

Is the square root of 5 a rational number?

Back

No, the square root of 5 is an irrational number.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction; its decimal representation goes on forever without repeating.

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer.

Front

Give an example of a perfect square.

Back

36 is a perfect square because it is the square of 6 (6 x 6 = 36).

Front

What is the square root of 36?

Back

The square root of 36 is 6, which is a rational number.

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 fractions and have non-repeating, non-terminating decimal expansions.

Front

What is the square root of a non-perfect square?

Back

The square root of a non-perfect square is an irrational number.