find 5 rational number between 2 and 3
Answers
Answer:
2.1 , 2.3 , 2.5 , 2.7 , 2.9
Step-by-step explanation:
Answer:
“Five rational numbers” between 2 and 3 are : 2.5, 2.25, 2.125, 2.75, 2.875 .
To find:
“5 rational numbers” between 2 and 3 using the mean method
Solution:
A “rational number” is a number which of the form a/b where a and b are integers.
Number 1: Take the “average of 2 and 3”
= \frac { 2 + 3 } { 2 } = \frac { 5 } { 2 } = 2.5
Number 2: Take the “average of 2 and 2.5”
= \frac { 2 + 2.5 } { 2 } = \frac { 4.5 } { 2 } = 2.25
Number 3: Take the “average of 2 and 2.25”
= \frac { 2 + 2.25 } { 2 } = \frac { 4.25 } { 2 } = 2.125
Number 4: Take the “average of 3 and 2.5”
= \frac { 3 + 2.5 } { 2 } = \frac { 5.5 } { 2 } = 2.75
Number 5: Take the “average of 3 and 2.75”
= \frac { 3 + 2.75 } { 2 } = \frac { 5.75 } { 2 } = 2.875
Thus, “5 rational numbers” between 2 and 3 are : 2.5, 2.25, 2.125, 2.75, 2.875
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