Value of Expression Calculation
To solve the mathematical expression $\frac{2}{7} \times [2 + \{2 (11 + 4 - 2)\}] - 2$, we apply the order of operations (PEMDAS/BODMAS).
Step 1: Innermost Parentheses
Calculate the value inside the smallest parentheses:
- $11 + 4 - 2 = 13$
Step 2: Inner Bracket Calculation
Next, perform the multiplication within the brackets:
- $2 \times 13 = 26$
Step 3: Curly Brace Calculation
Then, perform the addition within the curly braces:
- $2 + 26 = 28$
Step 4: Fraction Multiplication
Multiply the result from the braces by the fraction:
- $\frac{2}{7} \times 28 = \frac{56}{7} = 8$
Step 5: Final Subtraction
Finally, perform the subtraction outside the main brackets:
- $8 - 2 = 6$
Final Calculated Value
The final value of the expression is 6.
Similar Questions
- Solve
$49 + 1331 \div 121 - 72 - 5 = ?$ - Solve the following:
$11 + 11 \div 11 + 11 \times 11 - 11 = ?$ - Solve the following.
$4 \times 36 - 6[3 + 2(216 \div 6) - 51] = ?$ - Solve the following. $8000 + \frac{2000}{100} - 150 \times 60$
- Solve the following.
$3[35 + (45 + 10 \div 2 \times 3 - 50) + 5]$ - Using BODMAS, simplify the following.
$\frac{7}{9} \times \frac{21}{5} \times 25 (65^2 - 55^2)$ - Find the value of $216 \div 6 + 6 \times 4 - 10$.
- The value of $3 \div 1 - 2 + 3$ is:
- The value of $5 + 5 \times 2 \div 5$ is:
Simplify the given expression using BODMAS.
$\frac{4}{11} \times \frac{121}{16} \times 24 (75^2 - 55^2) \times \frac{1}{100}$
Important Questions from Bodmas Rule
The value of 90 ÷ 20 of 6 × [11 ÷ 4 of {3 × 2 - (3 - 8)}] ÷ (9 ÷ 3 × 2) is:
The value of 1800 ÷ 20 × {(12 - 6) + (24 - 12)} is:
The value of 20 ÷ 5 of 8 × [9 ÷ 6 × (6 - 3)] - (10 ÷ 2 of 20) is:
The value of \(\left( {18 \div 2\;of\frac{1}{4}} \right)\; \times \;\left( {\frac{2}{3} \div \frac{3}{4}\; \times \;\frac{5}{8}} \right) \div \left( {\frac{2}{3} \div \frac{3}{4}of\frac{3}{4}} \right)\) is:
The value of 18 ÷ [26 - {25 - (15 - 5) ÷ 2}] of 12 + 2 - 2 ÷ 4 × 16 is:
