Question

1. Simplify:
a) 118 – {121 (11x11)-(-4) – (3-7)}
b) 2-[2-{2-(2-2-2)}]
c) (-1){(-5)+(-25)} x (-7) – (8-10)(-4)
d) 81 of [59-{7x8+(13-2 of 5)}]
e) 7 – [13-2{4 of (-4)}]
f) (-5) – (-48) (-16) + (-2) x 6
(Solve these questions)

Answer 1

Answer :

We simplify these by BODMAS , As :

a ) 118 - { 121 ( 11 $\times$ 11 ) - ( - 4 ) - ( 3 - 7 ) }

= 118 - { 121 ( 121 ) + 4 - 3 - ( - 4 ) }

= 118 - { 121 $\times$ 121 + 4 - 3 + 4 }

= 118 - { 14641 + 4 - 3 + 4 }

= 118 - 14646

= -14528 ( Ans )

b ) 2 - [ 2 - { 2 - ( 2 - 2 - 2 )} ]

= 2 - [ 2 - { 2 - ( - 2 ) } ]

= 2 - [ 2 - { 2 + 2 } ]

= 2 - [ 2 - 4 ]

= 2 - [ - 2 ]

= 2 + 2

= 4 ( Ans )

c ) ( - 1 ){ ( - 5 ) + ( - 25 )} $\times$ ( - 7 ) - ( 8 - 10 ) ( - 4 )

= - 1 { - 5 - 25 } $\times$ - 7 + 2 $\times$ - 4

= - 1 $\times$- 30 $\times$ - 7 + 2 $\times$ - 4

= - 210 - 8

= - 218 ( Ans )

d ) 81 of [ 59 - { 7$\times$ 8 + ( 13 - 2 of 5 )}]

= 81^{[ 59 - { 7 $\times$ 8 + ( 13 - 32 ) } ]}

= 81^{[ 59 - { 7} $\times$ 8 ^{- 19 } ]}

= 81^{[ 59 - {56 - 19 } ]}

= 81^{[ 59 - 37 ]}

= 81²² ( Ans )

e ) 7 - [ 13 - 2 { 4 of ( - 4 ) } ]

= 7 - [ 13 - 2 { 4^-4 } ]

= 7 - [ 13 - 2$\times \frac{1}{4^4}$ ]

= 7 - [ 13 - $\frac{2}{256}$ ]

= 7 - [ 13 - $\frac{1}{128}$ ]

= 7 - [ 13 - 0.0078125 ]

= 7 - 12.9921875

= - 5.9921875 ( Ans )

f ) ( - 5 ) - ( - 48 ) ( - 16 ) + ( - 2 ) $\times$ 6

= - 5 + 48 $\times$ - 16 - 2 $\times$6

= - 5 - 768 - 12

= -785 ( Ans )