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

Question

(1.9−0.3)÷8+4×3

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Answer 1

To simplify the expression (1.9−0.3)÷8+4×3 using the order of operations (also known as PEMDAS/BODMAS - Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)), we will follow these steps:

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

2. Rewrite the expression: \[ (1.9−0.3)÷8+4×3 \rightarrow 1.6 ÷ 8 + 4 × 3 \]

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

   • First, calculate \(1.6 ÷ 8\): \[ 1.6 ÷ 8 = 0.2 \]

   • Next, calculate \(4 × 3\): \[ 4 × 3 = 12 \]

4. Rewrite the expression with the calculated values: \[ 0.2 + 12 \]

5. Perform the final addition: \[ 0.2 + 12 = 12.2 \]

Thus, the simplified expression is: \[ \boxed{12.2} \]