Question

Between 1/7 and 8/ 7 we can insert No any irrational number infinitely many rational numbers Infinitely many integers Only one rational number

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Between 1/7 and 8/ 7 we can insert

• No irrational number

• Infinitely many rational numbers

• Infinitely many integers

• Only one rational number

CONCEPT TO BE IMPLEMENTED

RATIONAL NUMBER

A Rational number is defined as a number of the form $\displaystyle \sf{ \frac{p}{q} \: }$

Where p & q are integers with $q \ne \: 0$

Example :

$\displaystyle \sf{2,- 1, \frac{1}{3} , - \frac{12}{23}} \: are \: the \: examples \: of \: rational \: numbers$

EVALUATION

Here $\displaystyle \sf{ \frac{1}{7} \: \: and \: \: \frac{8}{7} }$ are rational numbers

We know that between two rational numbers, there exists Infinite number of rational numbers.

Hence between $\displaystyle \sf{ \frac{1}{7} \: \: and \: \: \frac{8}{7} }$ we can insert

Infinitely many rational numbers

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Learn more from Brainly :-

1. Write the rational number

in standard form:78/65

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2. Without actually performing the long division state whether 13/3125 and 13/343 will have a terminating decimal expansion

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Answer 2

Answer:

Between any two given rational numbers there exist uncountable rational numbers.

This property of rational numbers is called the property of density.

Hence, we can add infinite rational numbers between 1/7 and 8/7