What will the value of the following expression be? $20 - [15 - \{4 - (8 - 6 + 3)\}]$
To solve the given expression \(20 - [15 - \{4 - (8 - 6 + 3)\}]\), we need to follow the order of operations, often abbreviated as BODMAS/BIDMAS (Brackets, Orders/Indices, Division and Multiplication, Addition and Subtraction).
- Start with the innermost bracket: \((8 - 6 + 3)\).
- Calculate \(8 - 6 = 2\).
- Then calculate \(2 + 3 = 5\).
- Replace the innermost bracket with the result: \(20 - [15 - \{4 - 5\}]\).
- Solve the next bracket \(4 - 5\):
- Calculate \(4 - 5 = -1\).
- Replace in the expression: \(20 - [15 - (-1)]\).
- Solve the bracket \(15 - (-1)\):
- Calculate \(15 + 1 = 16\) (since subtracting a negative is equivalent to adding).
- Replace in the expression: \(20 - 16\).
- Finally, calculate \(20 - 16 = 4\).
Thus, the value of the expression is 4, which corresponds to the correct answer option.
Similar Questions
- Solve the following.
$3[35 + (45 + 10 \div 2 \times 3 - 50) + 5]$ - What is the value of the following expression?
$103 - [144 \div (12 \times 12) + 5 + 12 \div (6 - 2) + 10]$ - What is the value of $(6 + 4) \times \frac{4}{2} + 5 - 3$?
- What is the value of $\frac{(6 \times 2)}{(8 - 1 + 5)}$?
Simplify the given expression using BODMAS.
$\frac{4}{11} \times \frac{121}{16} \times 24 (75^2 - 55^2) \times \frac{1}{100}$Simplify the given expression.
$\frac{5+5\times5}{5\times5+5} \times \frac{\frac{1}{5}\div(\frac{1}{5}\times\frac{1}{5})}{(\frac{1}{5}\times\frac{1}{5})\div\frac{1}{5}} - (5 - \frac{1}{5}) \times \frac{10}{2}$- Using BODMAS, simplify the following.
$\frac{7}{9} \times \frac{21}{5} \times 25 (65^2 - 55^2)$ - Find the value of $216 \div 6 + 6 \times 4 - 10$.
- Solve the following:
$240 \div 8 \times 512 \div 4$ - Solve the following:
$1800 \div (11 \times 24 \div 8 \times 3 - 69)^2$
Important Questions from Bodmas Rule
If 2945 ÷ 19 – 11 × 5 = 29 + a, find the value of a.
DIRECTIONS: What should come in place of the question mark (?) in the following question?
3800 - 22 × 1968 ÷ 48 = ? × 7
Solve: {7.88 × 2 + 2.4 × 5 - 242.4 ÷ 4 + [9.2 × 4 - 2.46 of 3 + (36.3 ÷ 3 - 1.42 × 2)]}
What will come in the place of question mark (?) in the given expression?
(420 ÷ 12 × 35 + 452- 152) = ?2
Evaluate: (13 × 8 - √81 × 6 + 1 ) ÷ (√49 + 72 - 18 × 2 + 19)
