Question
Simplify and show your work
(1.9 - 0.3) ÷ 8 + 4 x 3
(1.9 - 0.3) ÷ 8 + 4 x 3
Answers
GPT-4o mini
To simplify the expression \( (1.9 - 0.3) \div 8 + 4 \times 3 \), we need to 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)).
Let's break it down step by step:
1. **Calculate the expression inside the parentheses:**
\[
1.9 - 0.3 = 1.6
\]
2. **Now our expression looks like this:**
\[
(1.6) \div 8 + 4 \times 3
\]
3. **Next, perform the division:**
\[
1.6 \div 8 = 0.2
\]
4. **Now the expression is:**
\[
0.2 + 4 \times 3
\]
5. **Next, perform the multiplication:**
\[
4 \times 3 = 12
\]
6. **Now the expression is:**
\[
0.2 + 12
\]
7. **Finally, perform the addition:**
\[
0.2 + 12 = 12.2
\]
Thus, the simplified expression is \( \boxed{12.2} \).
Let's break it down step by step:
1. **Calculate the expression inside the parentheses:**
\[
1.9 - 0.3 = 1.6
\]
2. **Now our expression looks like this:**
\[
(1.6) \div 8 + 4 \times 3
\]
3. **Next, perform the division:**
\[
1.6 \div 8 = 0.2
\]
4. **Now the expression is:**
\[
0.2 + 4 \times 3
\]
5. **Next, perform the multiplication:**
\[
4 \times 3 = 12
\]
6. **Now the expression is:**
\[
0.2 + 12
\]
7. **Finally, perform the addition:**
\[
0.2 + 12 = 12.2
\]
Thus, the simplified expression is \( \boxed{12.2} \).