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Solve the expression 22 / (9 - 1 + 7 x 2) + 24 of 9.

Mathematics

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Answer

217\text{217}

Step-by-step solution

5 steps

To solve the expression 22÷(9−1+7×2)+24 of 922 \div (9 - 1 + 7 \times 2) + 24 \text{ 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)
  1. Solve the expression inside the brackets.

    (9−1+7×2)(9 - 1 + 7 \times 2)

    First, perform the multiplication within the bracket:

    7×2=147 \times 2 = 14

    Now substitute this back into the bracket:

    (9−1+14)(9 - 1 + 14)

    Perform subtraction and addition from left to right:

    9−1=89 - 1 = 8 8+14=228 + 14 = 22

    So, the expression inside the bracket simplifies to 22.

  2. Substitute the simplified bracket value back into the main expression.

    22÷22+24 of 922 \div 22 + 24 \text{ of } 9
  3. Perform the "of" operation.

    "of" means multiplication.

    24 of 9=24×924 \text{ of } 9 = 24 \times 9 24×9=21624 \times 9 = 216
  4. Perform the division.

    22÷22=122 \div 22 = 1
  5. Perform the final addition.

    1+2161 + 216 1+216=2171 + 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.

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