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Simplify the expression: 1-6.2*4-2)+10.8-4.

Mathematics

ScanSolve AI Answer

Answer

78

Step-by-step solution

4 steps

To simplify the expression, we follow the order of operations (PEMDAS/BODMAS): Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). The term "of" indicates multiplication.

The expression is 7 of (6×8÷4−2)+10−8÷47 \text{ of } (6 \times 8 \div 4 - 2) + 10 - 8 \div 4.

  1. Simplify the expression inside the parentheses.

    First, perform multiplication and division from left to right within the parentheses:

    6×8=486 \times 8 = 48 48÷4=1248 \div 4 = 12

    Now, perform the subtraction within the parentheses:

    12−2=1012 - 2 = 10

    The expression becomes: 7 of 10+10−8÷47 \text{ of } 10 + 10 - 8 \div 4.

  2. Evaluate "of".

    "Of" means multiplication.

    7 of 10=7×10=707 \text{ of } 10 = 7 \times 10 = 70

    The expression becomes: 70+10−8÷470 + 10 - 8 \div 4.

  3. Perform any remaining multiplication or division from left to right.

    8÷4=28 \div 4 = 2

    The expression becomes: 70+10−270 + 10 - 2.

  4. Perform addition and subtraction from left to right.

    70+10=8070 + 10 = 80 80−2=7880 - 2 = 78

    The simplified expression is:

    7878
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