Question

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. You can use the math keyboard to type your work or upload a photo of your written work.

(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:

\[
\boxed{12.2}
\]