Asked by shhh
Hakim needs your help to simplify the expression using order of operations.
(1.9−0.3)÷8+4×3
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(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.
Answers
Answered by
GPT-4o mini
To simplify the expression (1.9−0.3)÷8+4×3 using the order of operations (also known as PEMDAS/BODMAS - Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)), we will follow these steps:
1. **Calculate inside the parentheses:**
\[
1.9 - 0.3 = 1.6
\]
2. **Rewrite the expression:**
\[
(1.9−0.3)÷8+4×3 \rightarrow 1.6 ÷ 8 + 4 × 3
\]
3. **Perform the division and multiplication from left to right:**
- First, calculate \(1.6 ÷ 8\):
\[
1.6 ÷ 8 = 0.2
\]
- Next, calculate \(4 × 3\):
\[
4 × 3 = 12
\]
4. **Rewrite the expression with the calculated values:**
\[
0.2 + 12
\]
5. **Perform the final addition:**
\[
0.2 + 12 = 12.2
\]
Thus, the simplified expression is:
\[
\boxed{12.2}
\]
1. **Calculate inside the parentheses:**
\[
1.9 - 0.3 = 1.6
\]
2. **Rewrite the expression:**
\[
(1.9−0.3)÷8+4×3 \rightarrow 1.6 ÷ 8 + 4 × 3
\]
3. **Perform the division and multiplication from left to right:**
- First, calculate \(1.6 ÷ 8\):
\[
1.6 ÷ 8 = 0.2
\]
- Next, calculate \(4 × 3\):
\[
4 × 3 = 12
\]
4. **Rewrite the expression with the calculated values:**
\[
0.2 + 12
\]
5. **Perform the final addition:**
\[
0.2 + 12 = 12.2
\]
Thus, the simplified expression is:
\[
\boxed{12.2}
\]
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