This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To solve the expression 22 ÷ (9 - 1 + 7 × 2) + 24 of 9, we follow the order of operations (BODMAS/PEMDAS): 1. Brackets 2. Of (multiplication) 3. Division and Multiplication (from left to right) 4. Addition and Subtraction (from left to right) Step 1: Solve the expression inside the brackets. (9 - 1 + 7 × 2) First, perform the multiplication within the bracket: 7 × 2 = 14 Now substitute this back into the bracket: (9 - 1 + 14) Perform subtraction and addition from left to right: 9 - 1 = 8 8 + 14 = 22 So, the expression inside the bracket simplifies to 22. Step 2: Substitute the simplified bracket value back into the main expression. 22 ÷ 22 + 24 of 9 Step 3: Perform the "of" operation. "of" means multiplication. 24 of 9 = 24 × 9 24 × 9 = 216 Step 4: Perform the division. 22 ÷ 22 = 1 Step 5: Perform the final addition. 1 + 216 1 + 216 = 217 Thus, the value of the expression is 217. Comparing this with the given options: 1. 215 2. 216 3. 217 4. 218 The correct option is 3. The final answer is 217