Question

Calculati : a) 0,5+0,(3)-5/6 b)1/2.0,(6):1,(3) c)0,25²-0,1(6)² d) 0,01+0,(01)+0,0(1)​

Answer 1

Răspuns:

Explicație pas cu pas:

Calculati :

a) 0,5+0,(3)-5/6= 5/10+3/9-5/6=1/2+1/3-5/6=(3+2-5)/6=0/6=0

b)1/2.0,(6):1,(3) =(1/2)·(6/9):(13-1)/9=(1·6)/(2·9)·(9/12)=(1/3)·(3/4)=(1·3)/(3·4)=1/4

c)0,25²-0,1(6)²=(25/100)²-(15/90)²=(1/4)²-(1/6)²=1/16-1/36=(9-4)/36·4= 5/144        

d) 0,01+0,(01)+0,0(1)​=1/100+1/99+1/90= (99·90+100·90+100·99)/90·100·99=

(199·90+9900)/90·100·99=(17910+9900)/90·100·99=27810/90·100·99= =2781/900·99=309/100·99=103/100·33=103/3300