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Evaluate: 100 - [60 - 30 + (20 - 10 - 2)]

Mathematics

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Answer

85

Step-by-step solution

4 steps
  1. Evaluate the innermost parentheses.

    According to BODMAS, we start with the operations inside the innermost brackets.
    The innermost bracket is (20−10÷2)(20 - 10 \div 2). Inside this, division takes precedence over subtraction.

    10÷2=510 \div 2 = 5

    So, the expression inside the parentheses becomes:

    20−5=1520 - 5 = 15

    The original expression now simplifies to:

    100−[60−{30+15}]100 - [60 - \{30 + 15\}]
  2. Evaluate the curly braces.

    Next, we evaluate the expression inside the curly braces: {30+15}\{30 + 15\}.

    30+15=4530 + 15 = 45

    The expression now simplifies to:

    100−[60−45]100 - [60 - 45]
  3. Evaluate the square brackets.

    Now, we evaluate the expression inside the square brackets: [60−45][60 - 45].

    60−45=1560 - 45 = 15

    The expression now simplifies to:

    100−15100 - 15
  4. Perform the final subtraction.

    100−15=85100 - 15 = 85

    The evaluated expression is ∗85∗*85*.

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