Irrational vs Rational Numbers

Front

What is a rational number?

Back

A rational number is a number that can be written as a fraction, where both the numerator and denominator are integers, and the denominator is not zero.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction; its decimal representation is non-repeating and non-terminating.

Front

Is zero a rational number?

Back

Yes, zero is a rational number because it can be expressed as 0/1.

Front

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

Back

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

Front

What is the decimal representation of an irrational number?

Back

The decimal representation of an irrational number does not repeat with a pattern.

Front

Between which two integers does √27 lie?

Back

√27 lies between 5 and 6.

Front

Can a rational number be a repeating decimal?

Back

Yes, a rational number can be a repeating decimal.

Front

What is an example of an irrational number?

Back

An example of an irrational number is √2 or π (pi).

Front

What type of number is 1/2?

Back

1/2 is a rational number.

Front

Is the number 3.14159 a rational number?

Back

No, 3.14159 is an approximation of π, which is an irrational number.