Topic 1: Rational or Irrational

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 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.

Front

Is the number 4 rational or irrational?

Back

Rational (it can be expressed as 4/1).

Front

Is the number √2 rational or irrational?

Back

Irrational (it cannot be expressed as a fraction).

Front

What is the square root of 49?

Back

7 (which is a rational number).

Front

Is π (pi) a rational or irrational number?

Back

Irrational (it cannot be expressed as a fraction).

Front

What is an example of a rational number?

Back

1/2, 3, -4, 0.75 are all examples of rational numbers.

Front

What is an example of an irrational number?

Back

√3, √5, and π are examples of irrational numbers.

Front

Is the decimal 0.333... rational or irrational?

Back

Rational (it can be expressed as 1/3).

Front

What is the sum of a rational number and an irrational number?

Back

The sum is always irrational.