12. Calculează.
a) {5 + 67 : [100 - 60 : 3 - 27 : 3) - 22]} x 48 =
b) 100 - {62 - 3 x [12: (5:5 + 3) + 48:4 – 1]} x 5 + 1 =
c) {[5: (2 x 3 - 1) + 14] : 15 + 3 : [1 + 2 x (45 : 15 - 2)]} : 2 =
d) 5 x {55 x 5 - [(55 x 5 - 55 : 5) - 55 + 5]} =
e) {[(15 x 10 -98): 2 + 76] x 110 - 220): 500 =
f) {[(5 x 10 + 178) x 15 + 900] : 60} : 36 = ajutor dau coroana​

Răspuns :

Explicație pas cu pas:

a) {5+67÷[100-(60÷3-27÷3)-22]}×48=

{5+67÷[100-(20-9)-22]}×48=

[5+67÷(100-11-22)]×48=

[5+67÷(89-22)×48=

(5+67÷67)×48=

(5+1)×48=

6×48=288

b) 100-{62-3×[12÷(5÷5+3)+48÷4-1]}×5+1=

100-{62-3×[12÷(1+3)+48÷4-1]}×5+1=

100-[62-3×(12÷4+12-1)]×5+1=

100-[62-3×(3+11)]×5+1=

100-(62-3×14)×5+1=

100-(62-42)×5+1=

100-20×5+1=

100-100+1=1

c) {[5÷(2×3-1)+14]÷15+3÷[1+2×(45÷15-2)]}÷2=

{[5÷(6-1)+14]÷15+3÷[1+2×(3-2)]}÷2=

[(5÷5+14)÷15+3÷(1+2×1)]÷2=

[(1+14)÷15+3÷(1+2)]÷2=

(15÷15+3÷3)÷2=

(1+1)÷2=

2÷2=1

d) 5×{55×5-[(55×5-55÷5)-55+5]}=

5×{55×5-[(275-11)-55+5]}=

5×[55×5-(264-55+5)]=

5×[55×5-(209+5)]=

5×(55×5+214)=

5×(275+214)=

5×489=2445

e) {[(15×10-98)÷2+76]×110-220}÷500=

{[(150-98)÷2+76]×110-220}÷500=

[(52÷2+76)×110-220]÷500=

[(26+76)×110-220]÷500=

(102×110-220)÷500=

(11220-220)÷500=

11000÷500=22

f) {[(5×10+178)×15+900]÷60}÷36=

{[(50+178)×15+900]÷60}÷36=

[(228×15+900)÷60}÷36=

[(3420+900)÷60]÷36=

(4320÷60)÷36=

72÷36=2