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; it cannot be written as a ratio of two integers.

Front

Is 0 a rational number?

Back

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

Front

Is -5/8 a rational number?

Back

Yes, -5/8 is a rational number because it can be expressed as a fraction.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits.

Front

Is 3.14 a rational number?

Back

Yes, 3.14 is a rational number because it can be expressed as 314/100.

Front

What is an example of an irrational number?

Back

An example of an irrational number is the square root of 2 (√2), which cannot be expressed as a fraction.

Front

Is 12.3 a rational number?

Back

Yes, 12.3 is a rational number because it can be expressed as 123/10.

Front

What is the decimal representation of 1/3?

Back

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

Front

Is the square root of 99 a rational number?

Back

No, the square root of 99 is an irrational number because it cannot be expressed as a fraction.