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Polynomials

Question

Find six rational numbers between 3 and 4.

Solution

There can be infinitely many rational numbers between 3 and 4.

WiredFaculty

Thus, six ratonal numbers between 3 and 4 are

7 over 2 comma space 13 over 4 comma space 25 over 8 comma space 49 over 16 comma space 97 over 32 space and space 193 over 64

.
Alter

open table attributes columnalign right end attributes row cell 3 equals 3 over 1 equals fraction numerator 3 cross times 7 over denominator 3 cross times 7 end fraction equals 21 over 7 end cell row cell 4 equals 4 over 1 equals fraction numerator 4 cross times 7 over denominator 4 cross times 7 end fraction equals 28 over 7 end cell end table close curly brackets space 6 plus 1 equals 7

Thus, six rational numbers between 3 and 4 can be taken as

22 over 7 comma space 23 over 7 comma space 24 over 7 comma space 25 over 7 comma space fraction numerator 26 over denominator space 7 end fraction space and space 27 over 7.

Note. This is known as the method of finding rational numbers in one step.

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