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True or false? All irrational numbers have some repeating pattern which can

be used to compare them to rational numbers.

User Rayabhik
by
4.6k points

1 Answer

4 votes

Answer:

Given statement is false.

Explanation:

Given that,

All irrational numbers have some repeating pattern which can be used to compare them to rational numbers.

We know that,

Rational number :

A rational number is defined such a number which can be written as a ratio.

It means we can write a rational number as a fraction.

For example : 2, 3/2 and 4/2... etc.

In the fraction, both number are4 whole number.

So, we can say that, a number which can be define as a fraction it is called rational number.

Irrational number :

An irrational number is defined such a number which can not be written as a ratio.

For example : √5, √10 and √15...etc

So, we can say that, a number which can not be define as a fraction it is called irrational number.

We need to find all irrational numbers have some repeating pattern which can be used to compare them to rational numbers

According to rational number and irrational number

This statement is false.

Suppose, √2 is irrational but not repeating.

So, we can't write √2 as rational number.

Hence, Given statement is false.

User Ralight
by
4.5k points