insert rational number between two rational number a. one sum with same denominator. b. one sum with different denominator using formula and suitable example for each
Answers
Answer:
I didn't get your question but I can help you with how to insert.
Step-by-step explanation:
The formula for inserting 1 rational number if x and y are given.
x,y
=x, (x+y÷2), y
if you have to insert 2 numbers you repeat the same method as inserting one number, and then between any two of the numbers you can insert.
Ex: You have now obtained,
x, a, y
= either: x, (x+a÷2), a, y
or: x, a, (a+y÷2), y
Example sums:
1) Given: 7,8 insert 1 rational number.
= 7, (7+8÷2), 8
= 7, (15÷2), 8
= 7, 7.5, 8
ans: the inserted rational number is = 7.5
2) Given: 2,3 insert 2 rational numbers.
= 2, (2+3÷2), 3
= 2, (5÷2), 3
= 2, 2.5, 3
(Now I will insert a rational number in between 2 and 2.5)
= 2, (2+2.5÷2), 2.5, 3
= 2, (4.5÷2), 2.5, 3
=2, 2.25, 2.5, 3
ans: the inserted rational numbers are = 2.5 and 2.25.
Hope this helps you.