Simplify: $24 \div 4 \times 2 + 8 - 4 = ?$
- 1
- 7
- 16
- 56
The Correct Option is C
Approach Solution - 1
To simplify the expression \(24 \div 4 \times 2 + 8 - 4\), 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. First, we perform the division \(24 \div 4\).
\(24 \div 4 = 6\)
The expression now is \(6 \times 2 + 8 - 4\).
2. Next, we perform the multiplication \(6 \times 2\).
\(6 \times 2 = 12\)
The expression now is \(12 + 8 - 4\).
3. Then, we perform the addition \(12 + 8\).
\(12 + 8 = 20\)
The expression now is \(20 - 4\).
4. Finally, we perform the subtraction \(20 - 4\).
\(20 - 4 = 16\)
Thus, the simplified result of the expression is 16.
Approach Solution -2
We need to simplify the expression: \(24 \div 4 \times 2 + 8 - 4\).
According to the order of operations (PEMDAS/BODMAS), we perform division and multiplication from left to right before addition and subtraction.
- \(24 \div 4 = 6\)
- \(6 \times 2 = 12\)
- \(12 + 8 = 20\)
- \(20 - 4 = 16\)
Therefore, the simplified expression is 16.
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