Question
12. \( \begin{array}{r}8,109 \\ -\quad 3,825 \\ \hline\end{array} \)
Ask by Ruiz Johnston. in the United States
Feb 26,2025
Upstudy AI Solution
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Answer
The result of \( 8,109 - 3,825 \) is \( 4,284 \).
Solution
To solve the subtraction problem \( 8,109 - 3,825 \), we will perform the calculation step by step.
1. **Align the numbers**: Write the numbers one under the other, aligning them by their place values (units, tens, hundreds, thousands).
```
8109
- 3825
```
2. **Subtract from right to left**:
- **Units place**: \( 9 - 5 = 4 \)
- **Tens place**: \( 0 - 2 \) (we need to borrow 1 from the hundreds place, making it \( 10 - 2 = 8 \))
- **Hundreds place**: After borrowing, we have \( 0 - 8 \) (which is now \( 10 - 8 = 2 \))
- **Thousands place**: \( 7 - 3 = 4 \) (after borrowing, the 8 becomes 7)
3. **Write down the result**:
- Combining all the results from each place value, we get:
```
8109
- 3825
------
4284
```
Thus, the result of \( 8,109 - 3,825 \) is \( 4,284 \).
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Simplify this solution Extra Insights
To solve \( 8,109 - 3,825 \), let's line up the numbers vertically and subtract each column starting from the right: ``` 8,109 - 3,825 _______ ``` Starting from the right: 1. In the ones place: \( 9 - 5 = 4 \) 2. In the tens place: \( 0 - 2 \) requires borrowing; so we take 1 from the hundreds place: \( 10 - 2 = 8 \) 3. In the hundreds place: After borrowing, \( 0 - 7 \) also requires a borrow; taking 1 from the thousands gives us \( 10 - 7 = 3 \) 4. In the thousands place: After borrowing 1 previously, \( 8 - 3 = 5 \) So, we conclude with the answer: ``` 8,109 - 3,825 _______ 4,284 ``` Therefore, \( 8,109 - 3,825 = 4,284 \).
