find five rational number between 2and3 by mean method
Answers
Answer:
From equations (1), (2), (3), (4), and (5), we have found five rational numbers that were present between 2 and 3 as 2.125, 2.25, 2.5, 2.75, 2.825. ∴ The five rational numbers that were present between 2 and 3 as 2.125, 2.25, 2.5, 2.75, 2.825.
Step-by-step explanation :
According to the problem, we are asked to find five rational numbers that were present between 2 and 3 using the mean methods.
We know that the mean of the two numbers a and b is defined as a+b/2 and we know that the mean of any two numbers lies between them.
Let us find the mean of the given numbers 2 and 3.
So, we get one of the rational numbers that lies between 2 and 3 as 2+3/2=5/2=2.5 ---(1)
Now, let us find the mean of the numbers 2 and 2.5.
So, we get one of the rational numbers that lies between 2 and 3 as 2+2.5/2 =4.5/2=2.25 ---(2).
Now, let us find the mean of the numbers 2.5 and 3.
So, we get one of the rational numbers that lies between 2 and 3 as 2.5+3/2=5.5/2=2.75 ---(3).
Now, let us find the mean of the numbers 2 and 2.25.
So, we get one of the rational numbers that lies between 2 and 3 as 2+2.5/2=4.25/2=2.125 ---(4).
Now, let us find the mean of the numbers 2.75 and 3.
So, we get one of the rational numbers that lies between 2.75 and 3 as 2.75+3/2=5.75/2=2.875 ---(5).
From equations (1), (2), (3), (4), and (5), we have found five rational numbers that were present between 2 and 3 as 2.125, 2.25, 2.5, 2.75, 2.825.
⭐ The five rational numbers that were present between 2 and 3 as 2.125, 2.25, 2.5, 2.75, 2.825.
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