Simplify the following numerical expression: (i) (10 + 17) ÷ 3 (ii)

1.	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» (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

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»

(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

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