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Importance of Brackets

Simplify:36-[...

Question

Simplify:
$36 - [18 - {14 - (15 - 4 \div 2 \times 2)}]$

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Solution

Given expression:
= 36 - [18 - {14 - (15 - 4 ÷ 2 × 2)}]
= 36 - [18 - {14 - (15 - 2 × 2)}] [Performing division]
= 36 - [18 - {14 - (15 - 4)}] [Performing multiplication]
= 36 - [18 - {14 - 11}] [Removing parentheses]
= 36 - [18 - 3] [Removing braces]
= 36 - 15 [Removing square brackets]
= 21

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Similar questions

Q. Simplify each of the following:

36 - [18 - {14 - (15 - 4 \div 2 \times 2)}]

(- \frac{7}{18} \times \frac{15}{- 7}) - (1 \times \frac{1}{4}) + (\frac{1}{2} \times \frac{1}{4})

.

30 - [18 - 14 - (15 - 4 \div 2 \times 2)]

\frac{15^{4} \times 14^{2}}{21^{3} \times 10^{3}}

Q. Simplify each of the following:
(i) 124 − (12 − 2) × 9
(ii) (13 + 7) × (9 − 4) − 18
(iii) 210 − (14 − 4) × (18 + 2) − 10

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Importance of Brackets

Standard VI Mathematics

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