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.

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)).

1. **Parentheses**: Simplify the expression inside the parentheses first.

\[
1.9 - 0.3 = 1.6
\]

The expression now looks like this:

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

2. **Division and Multiplication**: Next, perform the division and multiplication from left to right.

- First, handle the division:

\[
1.6 \div 8 = 0.2
\]

- Now, handle the multiplication:

\[
4 \times 3 = 12
\]

The expression now simplifies to:

\[
0.2 + 12
\]

3. **Addition**: Finally, perform the addition.

\[
0.2 + 12 = 12.2
\]

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

\[
\boxed{12.2}
\]