Insert two rational numbers between-1/3 and 2/3. with explanation with whole process ​

Two rational numbers between -1/3 and 2/3 are:

0 and 1/3

Step-by-step explanation:

A rational number is a number that can be written as the quotient of two integer numbers.

Here, we want to find two rational numbers that are between:

-1/3 and 2/3

So, our numbers need to be larger than -1/3 and smaller than 2/3

This is ratter simple, let's start with the lower limit (-1/3) let's add a rational number to it.

Then check, the new number meets the conditions? if not, then we try adding a smaller rational number and so on.

Just because in both cases we have a denominator 3, i will add numbers that also have a denominator of 3.

First try:

Let's try adding 1/3

-1/3 + 1/3 = 0

the number 0 is a rational number: 0 = 0/1

and is true that:

-1/3 < 0 < 2/3

So we already found one of the rational numbers.

Now let's try again, let's add 5/3 this time

-1/3 + 5/3 = (-1 + 5)/3 = 4/3

This is larger than 2/3, so this is not in the desired range.

Let's try again, this time adding 2/3

-1/3 + 2/3 = (-1 + 2)/3 = 1/3

is true that:

-1/3 < 1/3 < 2/3

So the number 1/3 is in the desired range, so we found the second rational number.

You can see that this is kinda a trial and error way to solve these problems, this is the "easier" way to start, as you work with this, eventually you will practice enough and will be easy to find numbers between given ranges.

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