Question

Q10.Simplify using BODMAS rule
(i) 27-[5+{28-(29-7)}]
(ii) 39-[23-{-(17-9+3)}]
(iii) -25+14÷(5-3)
(iv)45-[38-{60÷3-(6-9÷3) ÷3
(v) 118-[121÷(11x11)-(-4)-{3-9+2}]

Answer 1

1. 29-7=22
28-22=6
5+6=11
27-11=16

2. 17+3=20
20-9=11
23 +11=34
39-34=5


Hkjain04   Helping Hand

Answer 2

All the solutions shown below are done according to the BODMAS Rule. 

(i) 27-[5+{28-(29-7)}]
 = 27 - [5 + {28 - (22)}]
 = 27 - [5 + {28 - 22}]
 = 27 - [5 + {6}]
 = 27 - [5 + 6]
 = 27 - [11]
 = 27 - 11
 = 16

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(ii) 39-[23-{-(17-9+3)}]
 = 39 - [23 - {- (17 - 6)}]
 = 39 - [23 - {-(11)}]
 = 39 - [23 - {-11}]
 = 39 - [23 + 11]
 = 39 - 34
 = 5

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(iii) -25+14÷(5-3)
 = - 25 + 14÷(2)
 = -25 + 7
 = -18

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(iv) 45-[38-{60÷3-(6-9÷3)÷3}]
 = 45 - [38 - {20 - (6 - 3) ÷ 3}]
 = 45 - [38 - {20 -3/3}]
 = 45 - [38 - {20 - 1}]
 = 45 - [38 - 19]
 = 45 - [19]
 = 45 - 19
 = 26

________________


(v)  118-[121÷(11x11)-(-4)-{3-9+2}]
 = 118 - [121 ÷ (121) + 4 + {-6 + 2}]
 = 118 - [1 + 4 + {-4}]
 = 118 - [1 + 4 - 4]
 = 118 - [1]
 = 118 - 1
 = 117

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Hope it helps.