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Hakim needs your help to simplify the expression using order of operations. (1.1−0.3)÷8+4×3Question
Hakim needs your help to simplify the expression using order of operations.
(1.1-0.3)÷ 8+4×3
(1.1-0.3)÷ 8+4×3
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Answered by
GPT-4o mini
To simplify the expression \((1.1 - 0.3) \div 8 + 4 \times 3\), 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**: First, we perform the operation inside the parentheses:
\[
1.1 - 0.3 = 0.8
\]
Now the expression is:
\[
(0.8) \div 8 + 4 \times 3
\]
2. **Division and Multiplication**: Next, we handle the division and multiplication from left to right.
- First, perform the division:
\[
0.8 \div 8 = 0.1
\]
- Next, perform the multiplication:
\[
4 \times 3 = 12
\]
Now the expression simplifies to:
\[
0.1 + 12
\]
3. **Addition**: Finally, we perform the addition:
\[
0.1 + 12 = 12.1
\]
Thus, the simplified expression is:
\[
\boxed{12.1}
\]
1. **Parentheses**: First, we perform the operation inside the parentheses:
\[
1.1 - 0.3 = 0.8
\]
Now the expression is:
\[
(0.8) \div 8 + 4 \times 3
\]
2. **Division and Multiplication**: Next, we handle the division and multiplication from left to right.
- First, perform the division:
\[
0.8 \div 8 = 0.1
\]
- Next, perform the multiplication:
\[
4 \times 3 = 12
\]
Now the expression simplifies to:
\[
0.1 + 12
\]
3. **Addition**: Finally, we perform the addition:
\[
0.1 + 12 = 12.1
\]
Thus, the simplified expression is:
\[
\boxed{12.1}
\]
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