Question
\[ \begin{array}{l} \text { 20) } 22-10 \div(5-3) \\ 22-10 \div 2 \end{array} \]
Ask by Pollard Lyons. in South Africa
Feb 26,2025
Upstudy AI Solution
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:
\[
\boxed{17}
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
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Beyond the Answer
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 \(17\).