Questions: Sara used the standard algorithm to solve the subtraction problem below. What number should be placed in the box to accurately represent the problem she solved?
41,18
-26,069
15,449
Transcript text: Sara used the standard algorithm to solve the subtraction problem below. What number should be placed in the box to accurately represent the problem she solved?
\[
\begin{array}{r}
41,18 \\
-26,069 \\
\hline 15,449
\end{array}
\]
Solution
Solution Steps
Step 1: Identify the Given Values
We are given the subtraction problem:
\[
\begin{array}{r}
41,18 \\
-26,069 \\
\hline 15,449
\end{array}
\]
From this, we identify:
Result: \( 15,449 \)
Subtracted number: \( 26,069 \)
Step 2: Calculate the Original Number
To find the original number that was subtracted from \( 41,18 \), we can use the equation:
\[
\text{Original Number} = \text{Result} + \text{Subtracted Number}
\]
Substituting the values:
\[
\text{Original Number} = 15,449 + 26,069 = 41,518
\]
Final Answer
The number that should be placed in the box to accurately represent the problem she solved is \\(\boxed{41518}\\).