Evaluate Mathematical Expression
This solution explains the step-by-step process to calculate the value of the mathematical expression $(6 + 4) \times \frac{4}{2} + 5 - 3$, adhering to the standard order of operations.
Order of Operations Calculation
The expression is: $(6 + 4) \times \frac{4}{2} + 5 - 3$ We use the PEMDAS/BODMAS rule (Parentheses/Brackets, Exponents/Orders, Multiplication/Division, Addition/Subtraction).
- Parentheses: First, calculate the operation inside the parentheses. $6 + 4 = 10$
- Substitute: Replace the parentheses content with the result. The expression becomes: $10 \times \frac{4}{2} + 5 - 3$
- Division: Next, perform the division. $\frac{4}{2} = 2$
- Substitute: Update the expression with the division result: $10 \times 2 + 5 - 3$
- Multiplication: Perform the multiplication. $10 \times 2 = 20$
- Substitute: The expression is now: $20 + 5 - 3$
- Addition: Perform addition from left to right. $20 + 5 = 25$
- Subtraction: Finally, perform the subtraction. $25 - 3 = 22$
Final Value Determination
The calculation shows that the value of the expression $(6 + 4) \times \frac{4}{2} + 5 - 3$ is 22.
Similar Questions
- Solve the following.
$3[35 + (45 + 10 \div 2 \times 3 - 50) + 5]$ What will the value of the following expression be?
$20 - [15 - \{4 - (8 - 6 + 3)\}]$
- 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 $\frac{(6 \times 2)}{(8 - 1 + 5)}$?
Simplify the given expression using BODMAS.
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$\frac{7}{9} \times \frac{21}{5} \times 25 (65^2 - 55^2)$ - Find the value of $216 \div 6 + 6 \times 4 - 10$.
- Solve the following:
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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)
