Question

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

(1.1−0.3)÷8+4×3

Answer 1

To simplify the expression \( (1.1 - 0.3) \div 8 + 4 \times 3 \), we 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**: First, we simplify the expression inside the parentheses:
\[
1.1 - 0.3 = 0.8
\]
So the expression now looks like:
\[
0.8 \div 8 + 4 \times 3
\]

2. **Multiplication and Division**: Next, we perform the division and multiplication from left to right:
- First, the division:
\[
0.8 \div 8 = 0.1
\]
- Next, the multiplication:
\[
4 \times 3 = 12
\]
Now our expression looks like:
\[
0.1 + 12
\]

3. **Addition**: Finally, we perform the addition:
\[
0.1 + 12 = 12.1
\]

Therefore, the simplified expression is \(\boxed{12.1}\).