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Hakim needs your help to simplify the expression using order of operations.

(1.9−0.3)÷8+4×3

NOTE: You must show all work on this question to receive credit.

1 answer

To simplify the expression \((1.9 - 0.3) \div 8 + 4 \times 3\), we'll follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

  1. Calculate the expression inside the parentheses: \[ 1.9 - 0.3 = 1.6 \]

  2. Rewrite the expression: Now we rewrite the expression using the result from the parentheses. \[ 1.6 \div 8 + 4 \times 3 \]

  3. Perform the division and multiplication from left to right:

    • Divide \(1.6\) by \(8\): \[ 1.6 \div 8 = 0.2 \]
    • Multiply \(4\) by \(3\): \[ 4 \times 3 = 12 \]

  4. Now rewrite the expression again: \[ 0.2 + 12 \]

  5. Finally, perform the addition: \[ 0.2 + 12 = 12.2 \]

Therefore, the simplified expression is \(\boxed{12.2}\).