Question

Find five rational numbers between additive inverse of 8/7 and multiplicative inverse of −2/3

Answer 1

ADDITIVE INVERSE OF 8/7 IS -8/7

MULTIPLICATIVE INVERSE OF -2/3 IS -3/2

NOW , YOU CAN USE TWO METHODS TO PLOT RATIONAL NUMBERS BETWEEN ANY TWO RATIONAL NUMBERS .

1) MEAN METHOD ( IF YOU HAVE TP FIND RATIONAL NUMBERS BETWEEN ANY TWO RATIONAL NUMBERS A AND B THEN THE RATIONAL NUMBER COME WILL A+B/2 . THE ONLY CHALLENGE IS YOU CAN ONLY PLOT 1 RATIONAL NUMBER BETWEEN ANY TWO RATIONAL NUMBERS )

OR 2) BY MAKING THEIR DENOMINATIONS SAME BY LCM .

HERE , IM USING 2ND METHOD

NOW L.C.M OF 7 AND 2 IS 14 .

SO , -8/7 = -16/14

AND , -3/2 = -21/14

AGAIN , YOU WILL MULTIPLY WITH 10 BECAUSE YOU WILL ONLY GET 4 NUMBERS . BUT IN QUESTION , WE HAVE TO FIND 5 RATIONAL NUMBERS .

SO , THIS WILL BECOME -160/140 AND -210/140

AND , NOW YOU CAN EASILY FIND .

NUMBERS ARE -161/140, -162/140 , -163/140 , -164/104 AND -165/140 .

HOPE YOU UNDERSTOOD !