Question
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\[ \begin{array}{l} \text { 20) } 22-10 \div(5-3) \\ 22-10 \div 2 \end{array} \]

Ask by Pollard Lyons. in South Africa
Feb 26,2025

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Tutor-Verified Answer

Answer

The final answer is 17.

Solution

To solve the expression \( 22 - 10 \div (5 - 3) \), 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)). ### Step 1: Solve the parentheses First, we calculate the expression inside the parentheses: \[ 5 - 3 = 2 \] ### Step 2: Substitute back into the expression Now we substitute this back into the original expression: \[ 22 - 10 \div 2 \] ### Step 3: Perform the division Next, we perform the division: \[ 10 \div 2 = 5 \] ### Step 4: Substitute back into the expression Now we substitute this result back into the expression: \[ 22 - 5 \] ### Step 5: Perform the subtraction Finally, we perform the subtraction: \[ 22 - 5 = 17 \] Thus, the final answer is: \[ \boxed{17} \]

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To solve the expression step-by-step, we first handle the division as per the order of operations (PEMDAS/BODMAS). So, we calculate \(10 \div 2\) which equals \(5\). Then, we substitute that back into the expression: \[ 22 - 5 \] Finally, we subtract \(5\) from \(22\) which gives us: \[ 22 - 5 = 17 \] So, the result of the original expression is \(17\).

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