Adding decimals in columns worksheet for Grade 5 students, designed for practicing decimal addition.

Problem: Adding decimals in columns

The task is to add the given decimal numbers in each column. Here's how we solve each problem step by step.

---

#### Step-by-Step Solution:

1. Problem 1:
$$
\begin{array}{r}
6.048 \\
+ 8.554 \\
\hline
\end{array}
$$
- Align the decimal points.
- Add column by column from right to left:
- Thousandths place: \(8 + 4 = 12\) → Write 2, carry 1.
- Hundredths place: \(4 + 5 + 1 = 10\) → Write 0, carry 1.
- Tenths place: \(0 + 5 + 1 = 6\).
- Ones place: \(6 + 8 = 14\) → Write 4, carry 1.
- Tens place: Carry 1.
- Result: \(14.602\).

$$
\boxed{14.602}
$$

2. Problem 2:
$$
\begin{array}{r}
35.38 \\
+ 59.94 \\
\hline
\end{array}
$$
- Align the decimal points.
- Add column by column:
- Hundredths place: \(8 + 4 = 12\) → Write 2, carry 1.
- Tenths place: \(3 + 9 + 1 = 13\) → Write 3, carry 1.
- Ones place: \(5 + 9 + 1 = 15\) → Write 5, carry 1.
- Tens place: \(3 + 5 + 1 = 9\).
- Result: \(95.32\).

$$
\boxed{95.32}
$$

3. Problem 3:
$$
\begin{array}{r}
81.88 \\
+ 81.66 \\
\hline
\end{array}
$$
- Align the decimal points.
- Add column by column:
- Hundredths place: \(8 + 6 = 14\) → Write 4, carry 1.
- Tenths place: \(8 + 6 + 1 = 15\) → Write 5, carry 1.
- Ones place: \(1 + 1 + 1 = 3\).
- Tens place: \(8 + 8 = 16\) → Write 6, carry 1.
- Hundreds place: Carry 1.
- Result: \(163.54\).

$$
\boxed{163.54}
$$

4. Problem 4:
$$
\begin{array}{r}
31.01 \\
+ 48.60 \\
\hline
\end{array}
$$
- Align the decimal points.
- Add column by column:
- Hundredths place: \(1 + 0 = 1\).
- Tenths place: \(0 + 6 = 6\).
- Ones place: \(1 + 8 = 9\).
- Tens place: \(3 + 4 = 7\).
- Result: \(79.61\).

$$
\boxed{79.61}
$$

5. Problem 5:
$$
\begin{array}{r}
32.91 \\
+ 34.08 \\
\hline
\end{array}
$$
- Align the decimal points.
- Add column by column:
- Hundredths place: \(1 + 8 = 9\).
- Tenths place: \(9 + 0 = 9\).
- Ones place: \(2 + 4 = 6\).
- Tens place: \(3 + 3 = 6\).
- Result: \(66.99\).

$$
\boxed{66.99}
$$

6. Problem 6:
$$
\begin{array}{r}
14.40 \\
+ 82.25 \\
\hline
\end{array}
$$
- Align the decimal points.
- Add column by column:
- Hundredths place: \(0 + 5 = 5\).
- Tenths place: \(4 + 2 = 6\).
- Ones place: \(4 + 2 = 6\).
- Tens place: \(1 + 8 = 9\).
- Result: \(96.65\).

$$
\boxed{96.65}
$$

7. Problem 7:
$$
\begin{array}{r}
66.00 \\
+ 11.86 \\
\hline
\end{array}
$$
- Align the decimal points.
- Add column by column:
- Hundredths place: \(0 + 6 = 6\).
- Tenths place: \(0 + 8 = 8\).
- Ones place: \(6 + 1 = 7\).
- Tens place: \(6 + 1 = 7\).
- Result: \(77.86\).

$$
\boxed{77.86}
$$

8. Problem 8:
$$
\begin{array}{r}
1.040 \\
+ 2.465 \\
\hline
\end{array}
$$
- Align the decimal points.
- Add column by column:
- Thousandths place: \(0 + 5 = 5\).
- Hundredths place: \(4 + 6 = 10\) → Write 0, carry 1.
- Tenths place: \(0 + 4 + 1 = 5\).
- Ones place: \(1 + 2 = 3\).
- Result: \(3.505\).

$$
\boxed{3.505}
$$

9. Problem 9:
$$
\begin{array}{r}
61.29 \\
+ 71.24 \\
\hline
\end{array}
$$
- Align the decimal points.
- Add column by column:
- Hundredths place: \(9 + 4 = 13\) → Write 3, carry 1.
- Tenths place: \(2 + 2 + 1 = 5\).
- Ones place: \(1 + 1 = 2\).
- Tens place: \(6 + 7 = 13\) → Write 3, carry 1.
- Hundreds place: Carry 1.
- Result: \(132.53\).

$$
\boxed{132.53}
$$

10. Problem 10:
$$
\begin{array}{r}
4.461 \\
+ 2.311 \\
\hline
\end{array}
$$
- Align the decimal points.
- Add column by column:
- Thousandths place: \(1 + 1 = 2\).
- Hundredths place: \(6 + 1 = 7\).
- Tenths place: \(4 + 3 = 7\).
- Ones place: \(4 + 2 = 6\).
- Result: \(6.772\).

$$
\boxed{6.772}
$$

11. Problem 11:
$$
\begin{array}{r}
93.88 \\
+ 77.49 \\
\hline
\end{array}
$$
- Align the decimal points.
- Add column by column:
- Hundredths place: \(8 + 9 = 17\) → Write 7, carry 1.
- Tenths place: \(8 + 4 + 1 = 13\) → Write 3, carry 1.
- Ones place: \(3 + 7 + 1 = 11\) → Write 1, carry 1.
- Tens place: \(9 + 7 + 1 = 17\) → Write 7, carry 1.
- Hundreds place: Carry 1.
- Result: \(171.37\).

$$
\boxed{171.37}
$$

12. Problem 12:
$$
\begin{array}{r}
8.763 \\
+ 2.832 \\
\hline
\end{array}
$$
- Align the decimal points.
- Add column by column:
- Thousandths place: \(3 + 2 = 5\).
- Hundredths place: \(6 + 3 = 9\).
- Tenths place: \(7 + 8 = 15\) → Write 5, carry 1.
- Ones place: \(8 + 2 + 1 = 11\) → Write 1, carry 1.
- Tens place: Carry 1.
- Result: \(11.595\).

$$
\boxed{11.595}
$$

13. Problem 13:
$$
\begin{array}{r}
2.902 \\
+ 4.633 \\
\hline
\end{array}
$$
- Align the decimal points.
- Add column by column:
- Thousandths place: \(2 + 3 = 5\).
- Hundredths place: \(0 + 3 = 3\).
- Tenths place: \(9 + 6 = 15\) → Write 5, carry 1.
- Ones place: \(2 + 4 + 1 = 7\).
- Result: \(7.535\).

$$
\boxed{7.535}
$$

14. Problem 14:
$$
\begin{array}{r}
2.400 \\
+ 8.391 \\
\hline
\end{array}
$$
- Align the decimal points.
- Add column by column:
- Thousandths place: \(0 + 1 = 1\).
- Hundredths place: \(0 + 9 = 9\).
- Tenths place: \(4 + 3 = 7\).
- Ones place: \(2 + 8 = 10\) → Write 0, carry 1.
- Tens place: Carry 1.
- Result: \(10.791\).

$$
\boxed{10.791}
$$

15. Problem 15:
$$
\begin{array}{r}
7.518 \\
+ 6.213 \\
\hline
\end{array}
$$
- Align the decimal points.
- Add column by column:
- Thousandths place: \(8 + 3 = 11\) → Write 1, carry 1.
- Hundredths place: \(1 + 1 + 1 = 3\).
- Tenths place: \(5 + 2 = 7\).
- Ones place: \(7 + 6 = 13\) → Write 3, carry 1.
- Tens place: Carry 1.
- Result: \(13.731\).

$$
\boxed{13.731}
$$

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Final Answers:

$$
\boxed{
\begin{array}{ccc}
1. & 14.602 & 2. & 95.32 & 3. & 163.54 \\
4. & 79.61 & 5. & 66.99 & 6. & 96.65 \\
7. & 77.86 & 8. & 3.505 & 9. & 132.53 \\
10. & 6.772 & 11. & 171.37 & 12. & 11.595 \\
13. & 7.535 & 14. & 10.791 & 15. & 13.731 \\
\end{array}
}
$$