Find five rational numbers between 1 and 2
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Answered by
0
Answer:
to find rational no b/w any two no.s its the formula (a+b)/2=(1+2)/2=3/2
now( 1+3/2)/2=5/4
now( 1+5/4)/2=9/8
now (1+9/8)/2=17/16
now the last (1+17/16)/2=33/32
therefore the no.s are 3/2 ,5/4,9/8,17/16,33/32
hope this helps....
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Answered by
3
Rational numbers:
- Rational numbers are the numbers that can be written in the form of p/q where p and q are integers and q is not equal to zero.
- Example: 2/3, 5/7, 9/2 etc.
Given:
- We have been given two numbers 1 and 2.
To Find:
- We need to find five rational numbers between 1 and 2.
Solution:
We have been given two numbers 1 and 2.
Inorder to find five rational numbers between these numbers, we can use this formula:
[(a + b)/2]
→ [1 + 2]/2
= 3/2
→ [1 + (3/2) ]/2
= [ (2 + 3)/2 ]/2
= [ 5/2 ]/2
= 5/4
→ [1 + (5/4) ]/2
= [ (4 + 5)4 ]/2
= [ 9/4 ]/2
= 9/8
→ [ (3/2) + 2 ]/2
= [ (3 + 4)/2 ]/2
= 7/4
→ [ (7/4) + 2 ]/2
= [ (7 + 8)/4 ]/2
= 15/8
Hence, five rational numbers between 1 and 2 are 3/2, 5/4, 9/8, 7/4, 15/8.
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