Table of Contents

## What is the type of decimal expansion of irrational number give one example?

Answer: The decimal expansion of an irrational number may be non-terminating and non-repeating. For example, 23.41411411141111… is an irrational number.

## Is a recurring decimal expansion an irrational?

Complete step-by-step answer: A number having non terminating and recurring decimal expansion is a rational number because we can write it as pq form where p and q can be any integer but q can never be equal to zero. For example let a non- terminating and recurring decimal number is 1.3333………..

## What kind of decimal is an irrational number?

Irrational Numbers: Any real number that cannot be written in fraction form is an irrational number. These numbers include non-terminating, non-repeating decimals, for example , 0.45445544455544445555…, or . Any square root that is not a perfect root is an irrational number.

## What are the decimal expansion?

When we express a number as a decimal, it is called decimal expansion. Decimal expansion is the form of a number that has a decimal point, either actual or implied. Examples of numbers with actual decimal points are 10.2 and 0.0084.

## Is decimal irrational number?

All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point.

## Are decimals irrational numbers?

## What is decimal representation of rational numbers?

The decimal representation of a rational number is converting a rational number into a decimal number that has the same mathematical value as the rational number. A rational number can be represented as a decimal number with the help of the long division method.

## What is the decimal expansion of rational numbers?

When the numerator of a rational number is divided by its denominator, we get the decimal expansion of the rational number. The decimal numbers thus obtained can be of two types. The decimal numbers having finite numbers of digits after the decimal point are known as the terminating decimal numbers.

## How do you find the expanding decimal of an irrational number?

When an irrational number is changed into a decimal, the resulting number is a nonterminating, nonrecurring decimal. Therefore, √2 = 1.4142…. It is nonterminating. It is also nonrecurring asat every stage the remainder is different.

## What is the decimal expansion of rational number?

## Do rational numbers have decimals?

Rational numbers can be represented as decimals. The different types of rational numbers are Integers like -1, 0, 5, etc., fractions like 2/5, 1/3, etc., terminating decimals like 0.12, 0.625, 1.325, etc., and non-terminating decimals with repeating patterns (after the decimal point) such as 0.666…, 1.151515…, etc.

## How is pi an irrational number?

Pi is an irrational number, which means that it is a real number that cannot be expressed by a simple fraction. That’s because pi is what mathematicians call an “infinite decimal” — after the decimal point, the digits go on forever and ever.

## How to convert decimal number into rational number?

Step I: Let us assume ‘x’ to be the repeating decimal number we are trying to convert into rational number.

## What is an example of a decimal expansion?

List 1 – The Square Root of Primes: √2,√3,√5,√7,√11,√13,√17,√19…

## How to rationalize a decimal?

nnn represent decimal digits before the decimal point (if there is one)

## How do you convert rational numbers into decimals?

0.3333…repeats with period 1