Decimal Subtraction Worksheets - Free Printable
Educational worksheet: Decimal Subtraction Worksheets. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: Decimal Subtraction Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Decimal Subtraction Worksheets
Problem: Solve the column subtraction problems involving decimals.
#### Solution:
We will solve each subtraction problem step by step, aligning the decimal points and performing the subtraction carefully.
---
Problem 1:
$$
6.928 - 2.365
$$
- Align the decimal points:
$$
\begin{array}{r}
6.928 \\
- 2.365 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Thousandths place: \(8 - 5 = 3\)
- Hundredths place: \(2 - 6\) (borrow 1 from the tenths place): \(12 - 6 = 6\)
- Tenths place: \(8 - 3 - 1 = 4\) (after borrowing)
- Ones place: \(6 - 2 = 4\)
$$
\begin{array}{r}
6.928 \\
- 2.365 \\
\hline
4.563 \\
\end{array}
$$
Answer: \(4.563\)
---
Problem 2:
$$
78.07 - 43.55
$$
- Align the decimal points:
$$
\begin{array}{r}
78.07 \\
- 43.55 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Hundredths place: \(7 - 5 = 2\)
- Tenths place: \(0 - 5\) (borrow 1 from the ones place): \(10 - 5 = 5\)
- Ones place: \(7 - 3 - 1 = 3\) (after borrowing)
- Tens place: \(7 - 4 = 3\)
$$
\begin{array}{r}
78.07 \\
- 43.55 \\
\hline
34.52 \\
\end{array}
$$
Answer: \(34.52\)
---
Problem 3:
$$
91.24 - 85.76
$$
- Align the decimal points:
$$
\begin{array}{r}
91.24 \\
- 85.76 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Hundredths place: \(4 - 6\) (borrow 1 from the tenths place): \(14 - 6 = 8\)
- Tenths place: \(1 - 7\) (borrow 1 from the ones place): \(11 - 7 = 4\)
- Ones place: \(0 - 5 - 1 = 4\) (after borrowing)
- Tens place: \(8 - 8 = 0\)
$$
\begin{array}{r}
91.24 \\
- 85.76 \\
\hline
5.48 \\
\end{array}
$$
Answer: \(5.48\)
---
Problem 4:
$$
670.2 - 158.8
$$
- Align the decimal points:
$$
\begin{array}{r}
670.2 \\
- 158.8 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Tenths place: \(2 - 8\) (borrow 1 from the ones place): \(12 - 8 = 4\)
- Ones place: \(0 - 8 - 1 = 1\) (after borrowing)
- Tens place: \(6 - 5 - 1 = 0\) (after borrowing)
- Hundreds place: \(6 - 1 = 5\)
$$
\begin{array}{r}
670.2 \\
- 158.8 \\
\hline
511.4 \\
\end{array}
$$
Answer: \(511.4\)
---
Problem 5:
$$
5.037 - 2.475
$$
- Align the decimal points:
$$
\begin{array}{r}
5.037 \\
- 2.475 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Thousandths place: \(7 - 5 = 2\)
- Hundredths place: \(3 - 7\) (borrow 1 from the tenths place): \(13 - 7 = 6\)
- Tenths place: \(0 - 4 - 1 = 5\) (after borrowing)
- Ones place: \(4 - 2 = 2\)
$$
\begin{array}{r}
5.037 \\
- 2.475 \\
\hline
2.562 \\
\end{array}
$$
Answer: \(2.562\)
---
Problem 6:
$$
71.25 - 67.89
$$
- Align the decimal points:
$$
\begin{array}{r}
71.25 \\
- 67.89 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Hundredths place: \(5 - 9\) (borrow 1 from the tenths place): \(15 - 9 = 6\)
- Tenths place: \(1 - 8\) (borrow 1 from the ones place): \(11 - 8 = 3\)
- Ones place: \(0 - 7 - 1 = 2\) (after borrowing)
- Tens place: \(6 - 6 = 0\)
$$
\begin{array}{r}
71.25 \\
- 67.89 \\
\hline
3.36 \\
\end{array}
$$
Answer: \(3.36\)
---
Problem 7:
$$
30.37 - 9.75
$$
- Align the decimal points:
$$
\begin{array}{r}
30.37 \\
- 9.75 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Hundredths place: \(7 - 5 = 2\)
- Tenths place: \(3 - 7\) (borrow 1 from the ones place): \(13 - 7 = 6\)
- Ones place: \(0 - 9 - 1 = 0\) (after borrowing)
- Tens place: \(2 - 0 = 2\)
$$
\begin{array}{r}
30.37 \\
- 9.75 \\
\hline
20.62 \\
\end{array}
$$
Answer: \(20.62\)
---
Problem 8:
$$
67.2 - 38.45
$$
- Align the decimal points:
$$
\begin{array}{r}
67.20 \\
- 38.45 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Hundredths place: \(0 - 5\) (borrow 1 from the tenths place): \(10 - 5 = 5\)
- Tenths place: \(1 - 4\) (borrow 1 from the ones place): \(11 - 4 = 7\)
- Ones place: \(1 - 8 - 1 = 2\) (after borrowing)
- Tens place: \(5 - 3 = 2\)
$$
\begin{array}{r}
67.20 \\
- 38.45 \\
\hline
28.75 \\
\end{array}
$$
Answer: \(28.75\)
---
Problem 9:
$$
4.172 - 0.684
$$
- Align the decimal points:
$$
\begin{array}{r}
4.172 \\
- 0.684 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Thousandths place: \(2 - 4\) (borrow 1 from the hundredths place): \(12 - 4 = 8\)
- Hundredths place: \(6 - 8\) (borrow 1 from the tenths place): \(16 - 8 = 8\)
- Tenths place: \(0 - 6 - 1 = 3\) (after borrowing)
- Ones place: \(3 - 0 = 3\)
$$
\begin{array}{r}
4.172 \\
- 0.684 \\
\hline
3.488 \\
\end{array}
$$
Answer: \(3.488\)
---
Problem 10:
$$
62.90 - 37.67
$$
- Align the decimal points:
$$
\begin{array}{r}
62.90 \\
- 37.67 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Hundredths place: \(0 - 7\) (borrow 1 from the tenths place): \(10 - 7 = 3\)
- Tenths place: \(8 - 6\) (after borrowing) = \(2\)
- Ones place: \(1 - 7\) (borrow 1 from the tens place): \(11 - 7 = 4\)
- Tens place: \(5 - 3 = 2\) (after borrowing)
$$
\begin{array}{r}
62.90 \\
- 37.67 \\
\hline
25.23 \\
\end{array}
$$
Answer: \(25.23\)
---
Problem 11:
$$
8.730 - 2.266
$$
- Align the decimal points:
$$
\begin{array}{r}
8.730 \\
- 2.266 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Thousandths place: \(0 - 6\) (borrow 1 from the hundredths place): \(10 - 6 = 4\)
- Hundredths place: \(2 - 6\) (borrow 1 from the tenths place): \(12 - 6 = 6\)
- Tenths place: \(6 - 2 - 1 = 3\) (after borrowing)
- Ones place: \(7 - 2 = 5\)
$$
\begin{array}{r}
8.730 \\
- 2.266 \\
\hline
6.464 \\
\end{array}
$$
Answer: \(6.464\)
---
Problem 12:
$$
651.6 - 281.3
$$
- Align the decimal points:
$$
\begin{array}{r}
651.6 \\
- 281.3 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Tenths place: \(6 - 3 = 3\)
- Ones place: \(1 - 1 = 0\)
- Tens place: \(4 - 8\) (borrow 1 from the hundreds place): \(14 - 8 = 6\)
- Hundreds place: \(5 - 2 - 1 = 2\) (after borrowing)
$$
\begin{array}{r}
651.6 \\
- 281.3 \\
\hline
370.3 \\
\end{array}
$$
Answer: \(370.3\)
---
Problem 13:
$$
8.403 - 1.675
$$
- Align the decimal points:
$$
\begin{array}{r}
8.403 \\
- 1.675 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Thousandths place: \(3 - 5\) (borrow 1 from the hundredths place): \(13 - 5 = 8\)
- Hundredths place: \(0 - 7\) (borrow 1 from the tenths place): \(10 - 7 = 3\)
- Tenths place: \(3 - 6 - 1 = 6\) (after borrowing)
- Ones place: \(7 - 1 = 6\)
$$
\begin{array}{r}
8.403 \\
- 1.675 \\
\hline
6.728 \\
\end{array}
$$
Answer: \(6.728\)
---
Problem 14:
$$
572.1 - 485.3
$$
- Align the decimal points:
$$
\begin{array}{r}
572.1 \\
- 485.3 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Tenths place: \(1 - 3\) (borrow 1 from the ones place): \(11 - 3 = 8\)
- Ones place: \(1 - 5 - 1 = 5\) (after borrowing)
- Tens place: \(6 - 8\) (borrow 1 from the hundreds place): \(16 - 8 = 8\)
- Hundreds place: \(4 - 4 - 1 = 0\) (after borrowing)
$$
\begin{array}{r}
572.1 \\
- 485.3 \\
\hline
86.8 \\
\end{array}
$$
Answer: \(86.8\)
---
Problem 15:
$$
79.83 - 54.61
$$
- Align the decimal points:
$$
\begin{array}{r}
79.83 \\
- 54.61 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Hundredths place: \(3 - 1 = 2\)
- Tenths place: \(8 - 6 = 2\)
- Ones place: \(9 - 4 = 5\)
- Tens place: \(7 - 5 = 2\)
$$
\begin{array}{r}
79.83 \\
- 54.61 \\
\hline
25.22 \\
\end{array}
$$
Answer: \(25.22\)
---
Problem 16:
$$
972.8 - 565.4
$$
- Align the decimal points:
$$
\begin{array}{r}
972.8 \\
- 565.4 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Tenths place: \(8 - 4 = 4\)
- Ones place: \(2 - 5\) (borrow 1 from the tens place): \(12 - 5 = 7\)
- Tens place: \(6 - 6 - 1 = 0\) (after borrowing)
- Hundreds place: \(8 - 5 = 3\)
$$
\begin{array}{r}
972.8 \\
- 565.4 \\
\hline
407.4 \\
\end{array}
$$
Answer: \(407.4\)
---
Problem 17:
$$
7.021 - 4.968
$$
- Align the decimal points:
$$
\begin{array}{r}
7.021 \\
- 4.968 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Thousandths place: \(1 - 8\) (borrow 1 from the hundredths place): \(11 - 8 = 3\)
- Hundredths place: \(1 - 6\) (borrow 1 from the tenths place): \(11 - 6 = 5\)
- Tenths place: \(0 - 9 - 1 = 0\) (after borrowing)
- Ones place: \(6 - 4 = 2\)
$$
\begin{array}{r}
7.021 \\
- 4.968 \\
\hline
2.053 \\
\end{array}
$$
Answer: \(2.053\)
---
Problem 18:
$$
8.38 - 3.725
$$
- Align the decimal points:
$$
\begin{array}{r}
8.380 \\
- 3.725 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Thousandths place: \(0 - 5\) (borrow 1 from the hundredths place): \(10 - 5 = 5\)
- Hundredths place: \(7 - 2\) (after borrowing) = \(5\)
- Tenths place: \(2 - 7\) (borrow 1 from the ones place): \(12 - 7 = 5\)
- Ones place: \(7 - 3 = 4\) (after borrowing)
$$
\begin{array}{r}
8.380 \\
- 3.725 \\
\hline
4.655 \\
\end{array}
$$
Answer: \(4.655\)
---
Problem 19:
$$
40.08 - 28.76
$$
- Align the decimal points:
$$
\begin{array}{r}
40.08 \\
- 28.76 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Hundredths place: \(8 - 6 = 2\)
- Tenths place: \(0 - 7\) (borrow 1 from the ones place): \(10 - 7 = 3\)
- Ones place: \(9 - 8 - 1 = 0\) (after borrowing)
- Tens place: \(3 - 2 = 1\)
$$
\begin{array}{r}
40.08 \\
- 28.76 \\
\hline
11.32 \\
\end{array}
$$
Answer: \(11.32\)
---
Problem 20:
$$
6.731 - 3.482
$$
- Align the decimal points:
$$
\begin{array}{r}
6.731 \\
- 3.482 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Thousandths place: \(1 - 2\) (borrow 1 from the hundredths place): \(11 - 2 = 9\)
- Hundredths place: \(2 - 8\) (borrow 1 from the tenths place): \(12 - 8 = 4\)
- Tenths place: \(6 - 4 - 1 = 1\) (after borrowing)
- Ones place: \(5 - 3 = 2\)
$$
\begin{array}{r}
6.731 \\
- 3.482 \\
\hline
3.249 \\
\end{array}
$$
Answer: \(3.249\)
---
Problem 21:
$$
4.506 - 2.758
$$
- Align the decimal points:
$$
\begin{array}{r}
4.506 \\
- 2.758 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Thousandths place: \(6 - 8\) (borrow 1 from the hundredths place): \(16 - 8 = 8\)
- Hundredths place: \(0 - 5\) (borrow 1 from the tenths place): \(10 - 5 = 5\)
- Tenths place: \(4 - 7 - 1 = 6\) (after borrowing)
- Ones place: \(3 - 2 = 1\)
$$
\begin{array}{r}
4.506 \\
- 2.758 \\
\hline
1.748 \\
\end{array}
$$
Answer: \(1.748\)
---
Problem 22:
$$
92.7 - 16.49
$$
- Align the decimal points:
$$
\begin{array}{r}
92.70 \\
- 16.49 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Hundredths place: \(0 - 9\) (borrow 1 from the tenths place): \(10 - 9 = 1\)
- Tenths place: \(6 - 4\) (after borrowing) = \(2\)
- Ones place: \(1 - 6\) (borrow 1 from the tens place): \(11 - 6 = 5\)
- Tens place: \(8 - 1 = 7\) (after borrowing)
$$
\begin{array}{r}
92.70 \\
- 16.49 \\
\hline
76.21 \\
\end{array}
$$
Answer: \(76.21\)
---
Problem 23:
$$
80.02 - 36.8
$$
- Align the decimal points:
$$
\begin{array}{r}
80.02 \\
- 36.80 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Hundredths place: \(2 - 0 = 2\)
- Tenths place: \(0 - 8\) (borrow 1 from the ones place): \(10 - 8 = 2\)
- Ones place: \(9 - 6 - 1 = 2\) (after borrowing)
- Tens place: \(7 - 3 = 4\)
$$
\begin{array}{r}
80.02 \\
- 36.80 \\
\hline
43.22 \\
\end{array}
$$
Answer: \(43.22\)
---
Problem 24:
$$
7.206 - 4.564
$$
- Align the decimal points:
$$
\begin{array}{r}
7.206 \\
- 4.564 \\
\hline
\end{array}
$$
- Subtract digit by digit from right to left:
- Thousandths place: \(6 - 4 = 2\)
- Hundredths place: \(0 - 6\) (borrow 1 from the tenths place): \(10 - 6 = 4\)
- Tenths place: \(1 - 5 - 1 = 5\) (after borrowing)
- Ones place: \(6 - 4 = 2\)
$$
\begin{array}{r}
7.206 \\
- 4.564 \\
\hline
2.642 \\
\end{array}
$$
Answer: \(2.642\)
---
Final Answers:
$$
\boxed{
\begin{array}{ll}
1) & 4.563 \\
2) & 34.52 \\
3) & 5.48 \\
4) & 511.4 \\
5) & 2.562 \\
6) & 3.36 \\
7) & 20.62 \\
8) & 28.75 \\
9) & 3.488 \\
10) & 25.23 \\
11) & 6.464 \\
12) & 370.3 \\
13) & 6.728 \\
14) & 86.8 \\
15) & 25.22 \\
16) & 407.4 \\
17) & 2.053 \\
18) & 4.655 \\
19) & 11.32 \\
20) & 3.249 \\
21) & 1.748 \\
22) & 76.21 \\
23) & 43.22 \\
24) & 2.642 \\
\end{array}
}
$$
Parent Tip: Review the logic above to help your child master the concept of subtracting decimals.