FIND FIVE RATIONAL NUMBERS BETWEEN -8/9 and 2/3 using mean method
Answers
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=22+3=25=2.5
Number 2: Take the “average of 2 and 2.5”
= \frac { 2 + 2.5 } { 2 } = \frac { 4.5 } { 2 } = 2.25=22+2.5=24.5=2.25
Number 3: Take the “average of 2 and 2.25”
= \frac { 2 + 2.25 } { 2 } = \frac { 4.25 } { 2 } = 2.125=22+2.25=24.25=2.125
Number 4: Take the “average of 3 and 2.5”
= \frac { 3 + 2.5 } { 2 } = \frac { 5.5 } { 2 } = 2.75=23+2.5=25.5=2.75
Number 5: Take the “average of 3 and 2.75”
= \frac { 3 + 2.75 } { 2 } = \frac { 5.75 } { 2 } = 2.875=23+2.75=25.75=2.875
Thus, “5 rational numbers” between 2 and 3 are : 2.5, 2.25, 2.125, 2.75, 2.875 .
-8/9=0.88&2/3=0.66
0.67,0.68,0.69,0.70,0.71=67/100,68/100,69/100,70/100,71/100.