Question

Simplify the following numerical expression: 

(i) (10 + 17) ÷ 3 

(ii) 12 – [3 – {6 – (5 – 1)}] 

(iii) 100 + 8 ÷ 2 + {(3 x 2) – 6 ÷ 2}

Answer 1

(i) (10 + 17) ÷ 3 (Given) 

= 27 ÷ 3 (Bracket completed first) 

= 9 (÷ completed) 

∴ (10 + 17) ÷ 3 = 9

(ii) 12 – [3 – {6 – (5 – 1)}] (Given) 

= 12 – [3 – {6 – 4}] (Innermost bracket completed first) 

= 12 – [3 – 2] (Again Inner bracket completed second) 

= 12 – 1 (Bracket completed third) 

= 11 (- completed) 

∴ 12 – [3 – {6 – (5 – 1)}] = 11

(iii) 100 + 8 ÷ 2 + {(3 x 2) – 6 ÷ 2} (Given) 

= 100 + 8 ÷ 2 + {6 – 6 ÷ 2} (Innermost bracket completed first) 

= 100 + 8 ÷ 2 + {6 – 3} (To remove the next bracket ÷ within the bar completed second) 

= 100 + 8 ÷ 2 + 3 (bar completed third) 

= 100 + 4 + 3 (÷ completed fourth) 

= 107 (+ completed) 

∴ 100 + 8 ÷ 2 + {(3 x 2) – 6 ÷ 2} = 107