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

Question

(1.9−0.3)÷8+4×3

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(3 points)

Answer 1

To simplify the expression \( (1.9 - 0.3) \div 8 + 4 \times 3 \), we will follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). The acronym PEMDAS can help us remember this.

Step 1: Simplify inside the parentheses

First, we evaluate the expression inside the parentheses:

\[ 1.9 - 0.3 = 1.6 \]

Step 2: Rewrite the expression

Substituting back into the expression, we have:

\[ 1.6 \div 8 + 4 \times 3 \]

Step 3: Perform division and multiplication from left to right

First, we do the division:

\[ 1.6 \div 8 = 0.2 \]

Next, we calculate the multiplication:

\[ 4 \times 3 = 12 \]

Now, our expression looks like this:

\[ 0.2 + 12 \]

Step 4: Perform addition

Now, we add:

\[ 0.2 + 12 = 12.2 \]

Final Answer

Thus, the simplified value of the expression \( (1.9 - 0.3) \div 8 + 4 \times 3 \) is:

\[ \boxed{12.2} \]