Question

1) Calculati :

- 3 x [ 1 - 3 x ( -3 + 2 x 5 )]
-5 x [ -1 + 2 x ( -7 +3 x 5 ) + 6 ]
- 1 x [ - 8 x ( - 3 + 2 x 4 ) + 6 ] - 11
- 2 x [ - 5 - 1 x ( - 3 + 2 x 1 )] - 7 x ( -1 )

2) Calculati :

a) ( 100 - 75 ) - [ 20 + ( 15 - 70 ) - ( 88 - 18 + 40 )]
b) 100 - { 30 + [( 88 - 54 ) - ( 400 - 380 )] + 60 }
c) 22 - { 22 - [ 22 - ( 40 - 22 ) + ( 88 - 22 ) - ( 88 - 40 ) ]}
d) 400 - { [ 23 - ( 123 - 100 )] - [ 59 + ( - 259 + 100 )] + 10 }
e) { 1200 - [ 800 + ( - 1450 + 750 ) - ( 390 + 210 0]} - 400
f) 1 - { 2 + ( 3 -4 ) - [ 6 - ( 7 - 8 ) + ( 9 - 10 )] - 11 } + 12

Answer 1

1)a)-3×[1-3×(-3+2×5)]=
=-3×[1-3×(-3+10)]
=-3×(1-3×7)
=-3×(-20)
=-60
b)-5×[-1+2×(-7+3×5)+6]=
=-5×[-1+2×(-7+15)+6]
=-5×(-1+2×8+6)
=-5×(-1+16+6)
=-5×22
=-110
c)-1×[-8×(-3+2×4)+6]-11=
=-1×[-8×(-3+8)+6]-11
=-1×(-8×5+6)-11
=-1×(-40+6)-11
=-1×(-34)-11
=-34-11
=-45
d)-2×[-5-1×(-3+2×1)]-7×(-1)=
=-2×[-5-1×(-3+2)]-7×(-1)
=-2×[-5-1×(-1)]-7×(-1)
=-2×(-5+1)-7×(-1)
=-2×(-4)-7×(-1)
=8+7
=15
2)a)(100-75)-[20+(15-70)-(88-18+40)]=
=25-[20+(-55)-(70+40)
=25-(20-55-70-40)
=25-145
=-120
b)100-{30+[(88-54)-(400-380)]+60}=
=100-(30+34-20+60)
=100-104
=-4
c)22-{22-[22-(40-22)+(88-22)-(88-40)]}=
=22-(22-22-18+66-44)
=22-4
=18
d)400-{[23-(123-100)]-[59+(-259+100)]+10}=
=400-(23-23)-[59+(-159)]+10
=400-0-(59-159)+10
=400+100+10
=510
e){1200-[800+(-1450+750)-(390+2100)}-400=
=1200-[800-(-700)-2490)]-400
=1200-(800+700-2490)-400
=1200-990-400
=-190
f)1-{2+(3-4)-[6-(7-8)+(9-10)]-11}+12=
=1-[2+(-1)]-[6-(-1)+(-1)-11]+12
=1-(2-1)-(6+1-1-11)+12
=1-1+5+12
=17

Answer 2

- 3 * [1 - 3 * (-3 + 2 * 5)] = - 3 * [1 - 3 * 7] = - 3 * 20 = - 60
- 5 * [- 1 + 2 * (- 7 + 3 * 5) + 6 ] = - 5[- 1 + 2 * 8 + 6] = - 5 * 21 = - 105
- 1 * [- 8 * (- 3 + 2 * 4)+ 6] - 11 = - 1 *[ - 8 * 5 + 6] - 11 = - 1 * (- 34) - 11 = 
    34 - 11 = 23
-2 * [- 5 - 1 * (- 3 + 2 * 1)] - 7 * (-1 ) = - 2 * [- 5 - 1 * (- 1)] + 7 = 
- 2 * [- 5 + 1] + 7 = 8 + 7 = 15
a) ( 100 - 75) - [20 + (15 - 70) - (88 - 18 + 40)] = 25 - [20 - 55 - 110] = 
    25 - 145 = - 120
b) 100 - {30 + [(88 - 54) - (400 - 380)] + 60} = 100 - {30 + [34 -20] + 60} = 
     100 - {30+ 14 + 60} = 100 - 104 = - 4
c) 22 - {22 - [22 - (40 - 22) + (88 - 22) - (88 - 40)]} = 22 - {22 - [22 - 18 + 66 - 48]} = 22 - {11 + 22} = 22 - 33 = - 11
d) 400 - {[23 - (123 - 100)] - [59 + (- 259 + 100)] + 10} = 400 - {23 - 23 - [59 - 159)] + 10} = 100- { - 23 + 100] + 10} = 100 - 77 + 10 = 33
e) {1200 - [800 - 700 - 2490]} - 400 = 1200 + 2390 - 400 = 3190
f) 1 - {2 + (3 - 4) - [6 - (7 - 8) + (9 - 10)] - 11} + 12 = 1 - {2 - 1 - [6 + 1 - 1] - 11} + 12 = 1 - {1 - 6 - 11} + 12 = 1 + 16 + 12 = 29