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.

Answer 1

To simplify the expression \((1.9 - 0.3) \div 8 + 4 \times 3\), we will 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)).

Step 1: Simplify inside the parentheses

First, we need to calculate \(1.9 - 0.3\): \[ 1.9 - 0.3 = 1.6 \]

Step 2: Rewrite the expression

After solving the parentheses, we can rewrite the expression: \[ (1.6) \div 8 + 4 \times 3 \]

Step 3: Perform the division

Next, we perform the division: \[ 1.6 \div 8 = 0.2 \]

Step 4: Rewrite the expression again

Now our expression looks like this: \[ 0.2 + 4 \times 3 \]

Step 5: Perform the multiplication

Now, we will perform the multiplication: \[ 4 \times 3 = 12 \]

Step 6: Rewrite the final expression

Now we can rewrite the expression again: \[ 0.2 + 12 \]

Step 7: Perform the addition

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

Final Result

Thus, the simplified result of the expression \((1.9 - 0.3) \div 8 + 4 \times 3\) is: \[ \boxed{12.2} \]