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Math worksheet for practicing column subtraction with five-digit numbers.

A math worksheet titled "Column Subtraction - 5 Digits Sheet 2" featuring 15 subtraction problems with five-digit numbers, designed for educational practice.

A math worksheet titled "Column Subtraction - 5 Digits Sheet 2" featuring 15 subtraction problems with five-digit numbers, designed for educational practice.

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Show Answer Key & Explanations Step-by-step solution for: Column Subtraction-5 Digits, Sheet 2 Worksheet for 3rd - 4th Grade ...
The image you uploaded contains a worksheet titled "COLUMN SUBTRACTION – 5 DIGITS SHEET 2". The task involves solving 15 subtraction problems, each involving the subtraction of two 5-digit numbers. Below is a detailed explanation of how to solve these problems using column subtraction.

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General Steps for Column Subtraction:


1. Align the numbers: Ensure both numbers are aligned by place value (ones, tens, hundreds, thousands, ten-thousands).
2. Start from the rightmost digit: Subtract the digits in the ones place first.
3. Borrow if necessary: If the top digit is smaller than the bottom digit in any column, borrow from the next higher place value.
4. Continue leftward: Move to the next column and repeat the process until all columns are subtracted.

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Example Problem:


Let's solve one of the problems as an example:
#### Problem 1:
$$
\begin{array}{r}
67478 \\
-25777 \\
\hline
\end{array}
$$

#### Step-by-Step Solution:
1. Align the numbers:
$$
\begin{array}{r}
67478 \\
-25777 \\
\hline
\end{array}
$$

2. Subtract the ones place:
- Top digit: 8, Bottom digit: 7
- $ 8 - 7 = 1 $
$$
\begin{array}{r}
67478 \\
-25777 \\
\hline
\phantom{000}1 \\
\end{array}
$$

3. Subtract the tens place:
- Top digit: 7, Bottom digit: 7
- $ 7 - 7 = 0 $
$$
\begin{array}{r}
67478 \\
-25777 \\
\hline
\phantom{00}01 \\
\end{array}
$$

4. Subtract the hundreds place:
- Top digit: 4, Bottom digit: 7
- Since 4 < 7, borrow 1 from the thousands place (6 becomes 5, and 4 becomes 14).
- $ 14 - 7 = 7 $
$$
\begin{array}{r}
67478 \\
-25777 \\
\hline
\phantom{0}701 \\
\end{array}
$$

5. Subtract the thousands place:
- After borrowing, the top digit is now 5 (from 6), and the bottom digit is 5.
- $ 5 - 5 = 0 $
$$
\begin{array}{r}
67478 \\
-25777 \\
\hline
\phantom{0}0701 \\
\end{array}
$$

6. Subtract the ten-thousands place:
- Top digit: 6, Bottom digit: 2
- $ 6 - 2 = 4 $
$$
\begin{array}{r}
67478 \\
-25777 \\
\hline
40701 \\
\end{array}
$$

#### Final Answer for Problem 1:
$$
\boxed{40701}
$$

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Solving All Problems:


Using the same method, we can solve all 15 problems. Here are the solutions:

1. $ 67478 - 25777 = 40701 $
2. $ 71893 - 2683 = 69210 $
3. $ 97056 - 12784 = 84272 $
4. $ 69822 - 32851 = 36971 $
5. $ 77306 - 9162 = 68144 $
6. $ 97925 - 975 = 96950 $
7. $ 47821 - 16996 = 30825 $
8. $ 97028 - 55265 = 41763 $
9. $ 97121 - 55867 = 41254 $
10. $ 73866 - 4928 = 68938 $
11. $ 61089 - 44736 = 16353 $
12. $ 85204 - 17596 = 67608 $
13. $ 38647 - 25918 = 12729 $
14. $ 70128 - 54386 = 15742 $
15. $ 64375 - 44719 = 19656 $

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Final Answers:


$$
\boxed{
\begin{array}{lll}
1. & 40701 & 2. & 69210 & 3. & 84272 \\
4. & 36971 & 5. & 68144 & 6. & 96950 \\
7. & 30825 & 8. & 41763 & 9. & 41254 \\
10. & 68938 & 11. & 16353 & 12. & 67608 \\
13. & 12729 & 14. & 15742 & 15. & 19656 \\
\end{array}
}
$$

---

This completes the solution. If you have any further questions, feel free to ask!
Parent Tip: Review the logic above to help your child master the concept of column subtraction worksheet.
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