Question

Find two rational numbers between -2and 5

Answer 1

1 and 2 are the two rational numbers between -2 and 5

Answer 2

1.5 and -0.25 are the two rational numbers between -2 and 5

Step-by-step explanation:

Given Data

To Find - the rational number between -2 and 5

Rational number is defined as the number which can be quotient of two integers . They may be an integer, decimal (repeating and terminating) etc.,

The formula to find the rational number between two numbers is

$q_1 = \frac{1}{2} (a + b)\\q_2 = \frac{1}{2} ( q_1 + a)$

Where $q_1$ and $q_2$ are the two rational numbers between the two given numbers 'a' and 'b'

a= -2 and b = 5

Substitute the respective values in above written formula to find the rational numbers.

$q_1 = \frac{1}{2} (-2 + 5)$

$q_1 = \frac{1}{2} (3)$

$q_1 = 1.5$

$q_2 = \frac{1}{2} ( 1.5 + (-2))$

$q_2 = \frac{1}{2} ( - 0.5)$

$q_2 = - 0.25$

Therefore the rational numbers between -2 and 5 are 1.5 and -0.25

To Learn More ...

1. 7.010010001 is rational number justify  

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