between any 2 rational numbers a and b where a>b prove that there is a rational number
please give explanation too
I will mark as brainliest
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Answered by
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Step-by-step explanation:
If a is rational, and b is rational, then (a+b)/2 is rational. To prove it, assume a=p/q, b=r/s, and p, q, r, s are integers; then (a+b)/2=(ps+qr)/(2qs), which is the quotient of two integer expressions, and thus also a rational.
Answered by
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you take 2 as a and 1 as b
you make a number line where points-:2.1 , 2.2 , etc. are there.
then u make another number line between 2.1 and 2.2
we see that 2.11 and 2.12 and 1.13 are the numbers present.
2.12 can be written in the form 212/100 where both the numbers are in the p/q form and are rational and q is not equal to 0.
hope it helps
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