find the rational number between/2and /3 with explain
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How many rational numbers lie between 2 and 3?
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There are infinite number of rational numbers between any 2 rational numbers, be it consecutive or different.
It is because the further you divide, the further you will get the number.
It is also based on the paradox “finite distances have infinite halves.”
So coming to the topic.
Rational numbers between 2 and 3.
As you did not specify how many rational numbers, I will assume you need 3 rational numbers.
Take the LCM of the denominators.
In this case it is 1, so it will be 2 and 3
As we want 3 rational numbers between 2 and 3, multiply it with 4.
2×4; 3×4 will be the figure of the last step
We multiplied it with 4 because of the rule: how many rational numbers needed+1 ×the first and the second number.
Example: we want 3 rational numbers. So,3+1×2
So multiplying it we get 8 and 12 respectively.
Therefore between 8 and 12 we have 9;10 and 11, i.e. we have 3 rational numbers between 2 and 3.
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Ekanth Sai Sundar. Yellanki
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First of all, remember that a rational number is any number that can be expressed as the quotient of two integers, that is, it can be expressed as a/b, where both a and b are integers and b does not equal zero. Examples of rational numbers are: 1/2, 3/4, 22/7, 5 = 5/1, .6 = 6/10 = 3/5, and 2½ = 5/2.
One way to find a rational number between 2 and 3 is to ADD a simple fraction greater than 0 but less than 1 to positive integer 2 (A simple fraction is a fraction having a whole number for the numerator and a nonzero whole number for the denominator).
Example: 2 + ½ = 2½ = 5/2. Another example: 2
An infinite number.
Rational numbers are essentially fractions with integer numerators and denominators - i.e. pq where p & q are integers and q≠0
So let assume you decide to start with halves (denominator 2) - that gives you a count of 1 (ie 2 12 ); but what is stop you using a denominator of 3 - that gives you two more unique rationals (2 13 & 2 23 ); you can then count 5ths and get another 3 added to the count.
Each time you increase the denominator you increase the number of rationals that you get, and you can increase the denominator to any value you want.
Since t
What is a rational number between 2 and 3?
What are three rational numbers between 2 and 3?
How do you find six rational numbers between 2 and 3?
There are exactly 2,384,285 rational numbers between 2 and 3.
Oops, I just found another one, this one between the first and second of these rational numbers.
Oops, I just found two more, between the first one, my new one, and what used to be my second one.
Oops … I forgot that no matter how close two rational numbers are, there will always be another rational number between them, and two more rational numbers between each of those new neighboring pairs.
Between 2 and 3? average 2½
Between 2, 2½ and 3? I get 2¼ and 2 3/4 with the average method.
Between 2, 2¼, 2½, 2 3/4 and 3? I get four more with t
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There are an infinite number of rational numbers between 2 an 3. In fact, there are an infinite number of rational numbers between any two integers [whether consecutive or not].
By definition, Rational number is a number that can be expressed as a ratio or a fraction of two integers, a/b where b is not equal to zero.
If you consider the number line, there are infinite points between 2 and 3, and each of these points can be expressed as a fraction.
For example:
2.1=21/10
2.01=201/100
2.001=2001/1000
2.0001=20001/10000… and so on
Hence, there are an infinite number of rational numbers between 2 an 3.
Infinite rational nos. Lie between 2 and 3. I will give you the reason.
Because there at least one rational no. Can be found between 2 rational no. lets say a and b.
Rational no. Between a and b is c. Again 1 rational no. Will be found between a and c . Same for c and b. This same process will carry on for the evolving rational nos. too.
I have attached a picture if you do not get me.
Hope you have understood.
There are infinite national numbers between 2 & 3. One simple way: Take average of 2 & 3.
(2+3)/2= 5/2= 2.5. {2.5 is a national number between 2 & 3}.
Now take average of 2 & 2.5.
(2+2.5)/2=4.5/2=2.25. {2.25 is a national number between 2 & 3}.
Now take average of 2 & 2.25.
(2 + 2.25)/2 = 4.25/2 = 2.125.
{2.125 is a national number between 2 & 3}.
And so on… there are infinite numbers like this.
Sanjay C.