Matematică, întrebare adresată de paldauandrei21, 9 ani în urmă

calculeaza.a.45+7+[307-816:(9-5)]-8X18 b.406-4x[3x(30-18:6:3)] c.832:8+[40+8x(100:5-72:4)]x10 d.25+6x[107-100:(8-3)]-9x19 e.1+3x[3+8x(7-3)+3x(5+6)] f.[55x5-(199-99x2+20x5)+220:10]:4 g.5+[7+3x(7-2)]:2-6 h. 9+8x[7+6x(5+4x3)-2x1]-10x10 i.[(36-36:2x0)+(6x7-4x9)]:7 i. (9x8+13):[5x4:(3+2)+1]

Răspunsuri la întrebare

Răspuns de primăvară2017
72
a) 45+7+[307-816:(9-5)]-8×18
=52+(307-816:4)-144
=52+(307-204)-144
=52+103-144
=155-144
=11

b) 406-4×[3×(30-18:6:3)]
=406-4×[3×(30-3:3)]
=406-4×[3×(30-1)]
=406-4×(3×29)
=406-4×87
=406-348
=58

c) 832:8+[40+8×(100:5-72:4)]×10
=104+[40+8×(20-18)]×10
=104+(40+8×2)×10
=104+(40+16)×10
=104+56×10
=104+560
=664

d) 25+6×[107-100:(8-3)]-9×19
=25+6×(107-100:5)-171
=25+6×(107-20)-171
=25+6×87-171
=25+522-171
=547-171
=376

e) 1+3×[3+8×(7-3)+3×(5+6)]
=1+3×(3+8×4+3×11)
=1+3×(3+32+33)
=1+3×(35+33)
=1+3×68
=1+204
=205

f) [55×5-(199-99×2+20×5)+220:10]:4
=[275-(199-198+100)+22]:4
=[275-(1+100)+22]:4
=(275-101+22):4
=(174+22):4
=196:4
=49

g) 5+[7+3×(7-2)]:2-6
=5+(7+3×5):2-6
=5+(7+15):2-6
=5+22:2-6
=5+11-6
=16-6
=10

h) 9+8×[7+6×(5+4×3)-2×1]-10×10
=9+8×[7+6×(5+12)-2]-100
=9+8×(7+6×17-2)-100
=9+8×(7+102-2)-100
=9+8×(109-2)-100
=9+8×107-100
=9+856-100
=865-100
=765

i) [(36-36:2×0)+(6×7-4×9)]:7
=[(36-18×0)+(42-36)]:7
=[(36-0)+6]:7
=(36+6):7
=42:7
=6

j) (9×8+13):[5×4:(3+2)+1]
=(72+13):(5×4:5+1)
=85:(20:5+1)
=85:(4+1)
=85:5
=17
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