Solving the Arithmetic Expression 83 + 238 ÷ 17 - 64
To solve the expression $83 + 238 ÷ 17 - 64$, we must follow the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Step 1: Perform Division
First, calculate the division part of the expression:
$238 \div 17 = 14$
Step 2: Substitute and Perform Addition
Substitute the result back into the expression and perform the addition:
$83 + 14 - 64$
$83 + 14 = 97$
Step 3: Perform Subtraction
Finally, perform the subtraction:
$97 - 64 = 33$
Thus, the value of the expression $83 + 238 ÷ 17 - 64$ is 33.
Important Questions from Simplification (Notes)
- Evaluate: (-9) - (-56) ÷ (-14) + (-4) × 7
- $\frac{\sqrt[3]{6859}}{\sqrt[4]{256}} \times \frac{2}{57} \times 168 = ?$
- In the Delhi zoo, there are some ducks and rabbits. If the heads are counted there are 160, while the legs are 450. What will be number of ducks in the zoo ?
Identify the number that will replace the question mark in the second equation based on the relationship represented in the first equation.
Simplify: $\frac{\sqrt{16x^4 - 72x^2y^2 + 81y^4}}{\sqrt{4x^2 - 12xy + 9y^2}} - (2x - 3y)$, given that $2x > 3y$.
