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Solve the operations inside the innermost parenthesis.

Business/Management

ScanSolve AI Answer

Answer

70\text{70}

Step-by-step solution

4 steps

To find the value of the expression [21+14−7×(91÷7−12)+42][21 + 14 - 7 \times (91 \div 7 - 12) + 42], we follow the order of operations (BODMAS/PEMDAS): Brackets, Orders (powers/roots), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

  1. Solve the operations inside the innermost parenthesis.

    First, perform the division:

    91÷7=1391 \div 7 = 13

    Next, perform the subtraction within the parenthesis:

    13−12=113 - 12 = 1

    So, the expression inside the parenthesis (91÷7−12)(91 \div 7 - 12) simplifies to 1.

  2. Substitute this value back into the main expression.

    The expression becomes:

    [21+14−7×1+42][21 + 14 - 7 \times 1 + 42]
  3. Perform the multiplication.

    7×1=77 \times 1 = 7

    The expression now is:

    [21+14−7+42][21 + 14 - 7 + 42]
  4. Perform additions and subtractions from left to right.

    First, add 21 and 14:

    21+14=3521 + 14 = 35

    Next, subtract 7 from 35:

    35−7=2835 - 7 = 28

    Finally, add 42 to 28:

    28+42=7028 + 42 = 70

    Thus, the value of the expression is 70.

    Comparing this with the given options:

    1. 80
    2. 50
    3. 70
    4. 60

    The calculated value matches option 3.

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