Question

G. 9−7+{−2+3−[4−2+(3+2)−7]+8} h. – {- [ (14 - 7) - (32 - 41)]} i. – [(-8 + 3) + (- 21 – 12)] j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 } k. (9 + 7 – 2 + 4) – ( 9 -12 )

Answer 1

Answer:

g.  9−7+{−2+3−[4−2+(3+2)−7]+8} = 11

h. – {- [ (14 - 7) - (32 - 41)]} = +  16

i. – [(-8 + 3) + (- 21 – 12)] = + 38

j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 } = 506

k. (9 + 7 – 2 + 4) – ( 9 -12 ) =21

Step-by-step explanation:

These questions are solved by solving the small brackets, then square brackets and then the curly brackets.

g.  9−7+{−2+3−[4−2+(3+2)−7]+8}

=  9−7+{−2+3−[4−2+(5)−7]+8}     Solving inner  small brackets

= 9−7+{−2+3−[9−2−7]+8}            Solving outer square brackets

= 9−7+{−2+3−0 +8}                     Solving curly brackets

=9−7+{9}                        Adding like terms ( adding positive terms)

= 18-7

= 11

h. – {- [ (14 - 7) - (32 - 41)]}

= – {- [ (14 - 7) - (-9)]}                  Solving inner  small brackets

= – {- [ (7) +9]}                           Solving inner  small brackets

= – {- [ 16 ]}                              Solving outer square brackets

= – {-  16 }                                 Solving curly brackets

= +  16                                      (-*-= +)

i. – [(-8 + 3) + (- 21 – 12)]

= – [(-8 + 3) + (- 33)]            Solving inner  small brackets

= – [(-5 - 33)]                      Solving inner  small brackets

=– [( - 38 )]                              Solving outer square brackets

= + 38                                        (-*-= +)

j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 }

= 500 – {( 6 + 4 + 3 + 16  – 18 -10 – 2) – 5 }         Solving inner  small brackets

= 500 – {( 29  – 30) – 5 }                   Solving inner  small brackets

= 500 – {(  – 1) – 5 }               Solving inner  small brackets

= 500 – { – 6}                                Solving curly brackets

= 500  + 6                                        (-*-= +)

= 506

k. (9 + 7 – 2 + 4) – ( 9 -12 )

= (9 + 7 + 4– 2 ) – (  -3 )                        Solving inner  small brackets

= (20 – 2 ) – (  -3 )                                 Solving inner  small brackets

= (18 ) – (  -3 )                                           (-*-= +)

= 18   +3

=21