Approximate Irrational Numbers

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a fraction of two integers. Its decimal representation is non-terminating and non-repeating.

Front

Give an example of an irrational number.

Back

π (pi) is an example of an irrational number.

Front

What is the square root of 4 classified as?

Back

The square root of 4 is classified as a rational number because it equals 2, which can be expressed as a fraction (2/1).

Front

What does it mean for a number to be rational?

Back

A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

Front

What is the approximate value of √98?

Back

The approximate value of √98 is between 9 and 10.

Front

What is the approximate value of √40?

Back

The approximate value of √40 is between 6 and 7.

Front

What characterizes the decimal representation of irrational numbers?

Back

The decimal representation of irrational numbers never ends and never repeats.

Front

Can you provide a non-examples of irrational numbers?

Back

Examples of rational numbers (non-examples of irrational numbers) include 1/2, 3, and -4.

Front

How can you determine if a number is irrational?

Back

A number is irrational if it cannot be expressed as a fraction of two integers and its decimal form is non-terminating and non-repeating.

Front

What is the relationship between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions, while irrational numbers cannot. Together, they make up the set of real numbers.