Rational vs Irrational

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction or ratio 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; its decimal representation goes on forever without repeating.

Front

Is -2 a rational number?

Back

Yes, -2 is a rational number because it can be expressed as -2/1.

Front

Is 0.5 a rational number?

Back

Yes, 0.5 is a rational number because it can be expressed as 1/2.

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but cannot be a fraction or decimal.

Front

Which of the following is NOT an integer: 3, -1, 0.5, -4?

Back

0.5 is NOT an integer.

Front

What is the square root of 4?

Back

The square root of 4 is 2, which is a rational number.

Front

What is the square root of 2?

Back

The square root of 2 is an irrational number because it cannot be expressed as a fraction.

Front

Is -3 a rational number?

Back

Yes, -3 is a rational number because it can be expressed as -3/1.

Front

What is the decimal representation of 1/3?

Back

The decimal representation of 1/3 is 0.333..., which is a repeating decimal.