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.
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Important Questions from Bodmas Rule
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
What will come in place of the question mark ‘?’ in the following question?
(44 of 15) – [(450 × 240 ÷ 60 – 40) ÷ 80 × 25 + 50] – 10 = ?Simplify: 92 - 18 ( 9 + 36 ÷ 3 × 12 - 27 × 3) + 51
Simplify the following expression.
\(\rm \frac{3}{5}\ of\ \left\{\left(48\div\overline{36\div9}\times\frac{1}{6}\right)+\frac{1}{3}\right\}=?\)
