## FIND FIVE RATIONAL NUMBERS BETWEEN -8/9 and 2/3 using mean method

Question

FIND FIVE RATIONAL NUMBERS BETWEEN -8/9 and 2/3 using mean method

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2 months 2021-10-10T13:44:07+00:00 2 Answers 0 views 0

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 .

2. -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.