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 or quotient of two integers. Its decimal representation goes on forever without repeating.

Front

Is the number 4π rational or irrational?

Back

Irrational, because π is an irrational number and multiplying it by a rational number (4) results in an irrational number.

Front

Is the number 3.1415872041840219586... rational or irrational?

Back

Irrational, because it is a non-repeating, non-terminating decimal that represents an approximation of π.

Front

What is the square root of 49?

Back

The square root of 49 is 7, which is a rational number.

Front

Is the square root of 119 rational or irrational?

Back

Irrational, because 119 is not a perfect square, and its square root cannot be expressed as a fraction.

Front

Is the number 26.548 rational or irrational?

Back

Rational, because it can be expressed as a fraction (26548/1000) and has a terminating decimal.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions of integers, while irrational numbers cannot be expressed as such and have non-repeating, non-terminating decimal expansions.

Front

Can a rational number be a whole number?

Back

Yes, all whole numbers are rational numbers because they can be expressed as a fraction with a denominator of 1.

Front

What is an example of an irrational number?

Back

An example of an irrational number is √2, which cannot be expressed as a fraction.