Simplifying the Mathematical Expression
To solve the expression $45 - [38 - \{80 \div 4 - (8 - 12 \div 3) \div 4\}]$, we follow the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Orders/Exponents, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
Step-by-Step Calculation
- Innermost Parentheses: Calculate $(8 - 12 \div 3)$.
- First, perform the division: $12 \div 3 = 4$.
- Then, perform the subtraction: $8 - 4 = 4$.
- So, $(8 - 12 \div 3) = 4$.
- Substitute and Simplify Braces: The expression becomes $45 - [38 - \{80 \div 4 - 4 \div 4\}]$.
- Perform divisions inside the braces from left to right: $80 \div 4 = 20$ and $4 \div 4 = 1$.
- Perform the subtraction inside the braces: $20 - 1 = 19$.
- So, $\{80 \div 4 - 4 \div 4\} = 19$.
- Substitute and Simplify Brackets: The expression becomes $45 - [38 - 19]$.
- Perform the subtraction inside the brackets: $38 - 19 = 19$.
- So, $[38 - 19] = 19$.
- Final Calculation: The expression simplifies to $45 - 19$.
- Perform the final subtraction: $45 - 19 = 26$.
Final Answer
The value of the expression is 26.
Similar Questions
Evaluate the given expression:
42 ÷ 7 × 2- Solve the following:
$$ 36 - [18 - \{14 - (15 - 4 \div 2 \times 2)\}] $$ - Value of \(23-5 \times 17 + 85 \div 17 + 120\)
Simplify 976 × 265 + 976 × 735.
- $\{8 - (28 - 53)\} \div \{-4 \times 5 - (-9)\} = ?$
- Find the simplified value of the following expression.
\(\frac{(36 \div 3) \times (48 \div 6) - (16 \div 2)}{4}\) Evaluate the given expression:
13 - 12 ÷ 4 × 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)
