Question

Calculeaza: c) 2/7 x 14/10 + 4/9 : 10/9 + 5^2/5^3


d) ( 1/2-1/8) x2^4


e) 1/201 + 2/201 +...+201/201


g) 5,2+5,(2)- 5,02 - 5,0(2)



/=supra
^=pe adica 2^4= 2x2x2x2

Answer 1

c) 2/7 x 14/10 + 4/9 : 10/9 + 5²/5³=

2/5+4/9 x 9/10+ 1/5=

2/5+2/5+1/5=

5/5=

=1

d) ( 1/2-1/8) x2⁴=

(4/8-1/8)x16=

3/8 x 16=

3x2=

=6

e) 1/201 + 2/201 +...+201/201=

(1+2+3+...+201)/201=

(201x202/2)/201=

201x101/201=

=101

g) 5,2+5,(2)- 5,02 - 5,0(2)=

52/10 + (52-5)/9 - 502/100 - (502-50)/90=

52/10 + 47/9 - 502/100 - 452/90=

(52x9+47x10)/90-502/100 - 452/90=

(468+470)/90-502/100 - 452/90=

(938-452)/90-502/100=

486/90-251/50=

243/45-251/50=

(243x50-251x45)/45x50=

(12150-11295)/2250=

855/2250=

171/450=

=19/50

Succes!