find the rational numbers between the given rational numbers using method of means
a. 2 and 3
b. -2 and -1
c. 1/3 and 2/3
d. -1/4 and -3/4
e. 1/7 and 2/7
f. 0 and 1
just only correct answers
or else i will report your all answers
Answers
(iii) 1.3 and 1.4
(iv) 0.75 and 1.2
(v) -1and12
(vi) -34and-25
ANSWER:
(i) Let:
x = 14 and y = 13
Rational number lying between x and y:
12(x + y) = 12(14 + 13)
= 724
(ii) Let:
x = 38 and y = 25
Rational number lying between x and y:
12(x + y) = 12(38 + 25)
= 12(15+1640) = 3180
(iii) Let:
x = 1.3 and y = 1.4
Rational number lying between x and y:
12(x + y) = 12(1.3+1.4)
= 12(2.7)= 1.35
(iv) Let:
x = 0.75 and y = 1.2
Rational number lying between x and y:
12(x + y) = 12(0.75+1.2)
= 12(1.95)= 0.975
(v) Let:
x = -1 and y = 12
Rational number lying between x and y:
12(x + y) = 12(-1 + 12)
= -14
(vi) Let:
x = -34 and y = -25
Rational number lying between x and y:
12(x + y) = 12(-34 - 25)
= 12(-15-820) = -2340
Step-by-step explanation:
a. 2 and 3
° (2+3)÷2
° 5 ÷2
° 2.5 (1st no)
= 2.5 and 3
° (2.5 +3)÷2
° 5.5 ÷2
° 2.75 ( 2nd no.)
therefore 2.5, 2.75( there can be many such rational number)are rational numbers between 2 and 3
b. -2 and -1
° -2+(-1) ÷ 2
° -2 -1 ÷2
° -3 ÷2
° -1.5 (1st no)
therefore-1.5 is rational number between-2 and -1
c.1/3 and 2/3
°( 1/3 + 2/3) ÷ 2
° 3/3 ×1/2
° 3/6
° 1/2
therefore 1/2 is the rational number between 1/3 and 2 /3
solve remaining by this way only
ex: a and b
° (a+b ) ÷2