Rational and Irrational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction, where both the numerator and denominator are integers, and the denominator is not zero. Examples include integers, fractions, and terminating or repeating decimals.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction. It cannot be written as a ratio of two integers. Examples include √2, π, and e.

Front

Which of the following is a rational number: 0.75, √3, π?

Back

0.75 is a rational number because it can be expressed as 3/4.

Front

What is the square root of 16?

Back

The square root of 16 is 4, which is a rational number.

Front

Is the number 5.333... rational or irrational?

Back

5.333... is a rational number because it can be expressed as the fraction 16/3.

Front

What is the decimal representation of 1/4?

Back

The decimal representation of 1/4 is 0.25, which is a rational number.

Front

Identify the type of number: √49.

Back

√49 is 7, which is a rational number.

Front

What is the exponent form for the factors 2 x 2 x 2 x 2?

Back

The exponent form is 2^4.

Front

Which number is between 7 and 8? √7, √42, √59, √68

Back

√59 is between 7 and 8.

Front

Is π a rational number?

Back

No, π is an irrational number.