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
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