Rational and Irrational Numbers

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 22/7 a rational number?

Back

Yes, 22/7 is a rational number because it can be expressed as a fraction of two integers.

Front

Is √64 a rational number?

Back

Yes, √64 = 8, which is a rational number.

Front

Is √50 a rational number?

Back

No, √50 is an irrational number because it cannot be expressed as a fraction of two integers.

Front

Is -17.5 a rational number?

Back

Yes, -17.5 is a rational number because it can be expressed as -35/2.

Front

Which of the following is a rational number: 1/4, π, √3?

Back

1/4 is a rational number.

Front

Is π a rational number?

Back

No, π is an irrational number because it cannot be expressed as a fraction of two integers.

Front

Is √2 a rational number?

Back

No, √2 is an irrational number.

Front

What is the decimal representation of a rational number?

Back

The decimal representation of a rational number either terminates (e.g., 0.5) or repeats (e.g., 0.333...).