find four rational numbers between 3 and 4 by using mean method
Answers
Answer:
3 and 4
3/1×10 and 4/1×10
30/10 and 40/10
31/10,32/10,33/10 and 34/10 are four rational numbers.
Step-by-step explanation:
hope it helps thank you
Hint: If a and b are two rational numbers then the rational number between these two numbers is given bya+b2
, and the rational number can be written in the form pq
, where p and q are integers and q≠0
.
Complete step-by-step answer:
Given numbers are 3 and 4, and now we have to find the rational numbers between these two numbers.
We know that the rational number between numbers a and b is given bya+b2
,
So, here a=3, and b=4,
Now rational number between 3 and 4=3+42=72
,
Here the values of a=3 and b=72
,
Now again rational number between 3 and72
=3+722=6+74=134
,
Here the values of a=3 and b=134
,
The rational number between 3 and134
=3+1342=12+138=258
,
Here the values of a=4 and b=258
,
The rational number between 4 and258
=4+2582=32+2516=5716
,
Here the values of a=4 and b=5716
,
The rational number between 4 and5716
=4+57162=64+5732=12132
,
The five rational numbers between 3 and 4 are72,134,258,5716,12132
.
∴
The five rational numbers between 3 and 4 using mean method are72,134,258,5716,12132
.