6th Grade Math Worksheet: Adding Decimals - Practice problems for students to improve decimal addition skills.

Problem: Adding Decimals

The task is to solve the addition problems involving decimals. Here are the steps and solutions for each problem:

---

#### 1. \( 0.625 + 0.789 \)
- Align the decimal points:
```
0.625
+ 0.789
_______
```
- Add column by column from right to left:
- Thousandths place: \( 5 + 9 = 14 \) → Write 4, carry 1.
- Hundredths place: \( 2 + 8 + 1 = 11 \) → Write 1, carry 1.
- Tenths place: \( 6 + 7 + 1 = 14 \) → Write 4, carry 1.
- Ones place: \( 0 + 0 + 1 = 1 \).
- Result: \( 1.414 \)

Answer: \( 1.414 \)

---

#### 2. \( 1.324 + 0.864 \)
- Align the decimal points:
```
1.324
+ 0.864
_______
```
- Add column by column from right to left:
- Thousandths place: \( 4 + 4 = 8 \).
- Hundredths place: \( 2 + 6 = 8 \).
- Tenths place: \( 3 + 8 = 11 \) → Write 1, carry 1.
- Ones place: \( 1 + 0 + 1 = 2 \).
- Result: \( 2.188 \)

Answer: \( 2.188 \)

---

#### 3. \( 1.249 + 0.89 \)
- Align the decimal points (note that 0.89 has fewer decimal places, so add a zero):
```
1.249
+ 0.890
_______
```
- Add column by column from right to left:
- Thousandths place: \( 9 + 0 = 9 \).
- Hundredths place: \( 4 + 9 = 13 \) → Write 3, carry 1.
- Tenths place: \( 2 + 8 + 1 = 11 \) → Write 1, carry 1.
- Ones place: \( 1 + 0 + 1 = 2 \).
- Result: \( 2.139 \)

Answer: \( 2.139 \)

---

#### 4. \( 9.378 + 0.24 \)
- Align the decimal points (note that 0.24 has fewer decimal places, so add zeros):
```
9.378
+ 0.240
_______
```
- Add column by column from right to left:
- Thousandths place: \( 8 + 0 = 8 \).
- Hundredths place: \( 7 + 4 = 11 \) → Write 1, carry 1.
- Tenths place: \( 3 + 2 + 1 = 6 \).
- Ones place: \( 9 + 0 = 9 \).
- Result: \( 9.618 \)

Answer: \( 9.618 \)

---

#### 5. \( 9.267 + 0.85 \)
- Align the decimal points (note that 0.85 has fewer decimal places, so add a zero):
```
9.267
+ 0.850
_______
```
- Add column by column from right to left:
- Thousandths place: \( 7 + 0 = 7 \).
- Hundredths place: \( 6 + 5 = 11 \) → Write 1, carry 1.
- Tenths place: \( 2 + 8 + 1 = 11 \) → Write 1, carry 1.
- Ones place: \( 9 + 0 + 1 = 10 \).
- Result: \( 10.117 \)

Answer: \( 10.117 \)

---

#### 6. \( 2.341 + 9 \)
- Align the decimal points (note that 9 has no decimal places, so add a decimal point and zeros):
```
2.341
+ 9.000
_______
```
- Add column by column from right to left:
- Thousandths place: \( 1 + 0 = 1 \).
- Hundredths place: \( 4 + 0 = 4 \).
- Tenths place: \( 3 + 0 = 3 \).
- Ones place: \( 2 + 9 = 11 \) → Write 1, carry 1.
- Tens place: \( 0 + 1 = 1 \).
- Result: \( 11.341 \)

Answer: \( 11.341 \)

---

#### 7. \( 1.426 + 0.679 \)
- Align the decimal points:
```
1.426
+ 0.679
_______
```
- Add column by column from right to left:
- Thousandths place: \( 6 + 9 = 15 \) → Write 5, carry 1.
- Hundredths place: \( 2 + 7 + 1 = 10 \) → Write 0, carry 1.
- Tenths place: \( 4 + 6 + 1 = 11 \) → Write 1, carry 1.
- Ones place: \( 1 + 0 + 1 = 2 \).
- Result: \( 2.105 \)

Answer: \( 2.105 \)

---

#### 8. \( 4.561 + 0.956 \)
- Align the decimal points:
```
4.561
+ 0.956
_______
```
- Add column by column from right to left:
- Thousandths place: \( 1 + 6 = 7 \).
- Hundredths place: \( 6 + 5 = 11 \) → Write 1, carry 1.
- Tenths place: \( 5 + 9 + 1 = 15 \) → Write 5, carry 1.
- Ones place: \( 4 + 0 + 1 = 5 \).
- Result: \( 5.517 \)

Answer: \( 5.517 \)

---

#### 9. \( 3.45 + 9.65 \)
- Align the decimal points:
```
3.45
+ 9.65
_______
```
- Add column by column from right to left:
- Hundredths place: \( 5 + 5 = 10 \) → Write 0, carry 1.
- Tenths place: \( 4 + 6 + 1 = 11 \) → Write 1, carry 1.
- Ones place: \( 3 + 9 + 1 = 13 \) → Write 3, carry 1.
- Tens place: \( 0 + 1 = 1 \).
- Result: \( 13.10 \) (or simply \( 13.1 \))

Answer: \( 13.1 \)

---

#### 10. \( 3.14 + 6.46 \)
- Align the decimal points:
```
3.14
+ 6.46
_______
```
- Add column by column from right to left:
- Hundredths place: \( 4 + 6 = 10 \) → Write 0, carry 1.
- Tenths place: \( 1 + 4 + 1 = 6 \).
- Ones place: \( 3 + 6 = 9 \).
- Result: \( 9.60 \) (or simply \( 9.6 \))

Answer: \( 9.6 \)

---

#### 11. \( 0.469 + 8 \)
- Align the decimal points (note that 8 has no decimal places, so add a decimal point and zeros):
```
0.469
+ 8.000
_______
```
- Add column by column from right to left:
- Thousandths place: \( 9 + 0 = 9 \).
- Hundredths place: \( 6 + 0 = 6 \).
- Tenths place: \( 4 + 0 = 4 \).
- Ones place: \( 0 + 8 = 8 \).
- Result: \( 8.469 \)

Answer: \( 8.469 \)

---

#### 12. \( 0.687 + 8 \)
- Align the decimal points (note that 8 has no decimal places, so add a decimal point and zeros):
```
0.687
+ 8.000
_______
```
- Add column by column from right to left:
- Thousandths place: \( 7 + 0 = 7 \).
- Hundredths place: \( 8 + 0 = 8 \).
- Tenths place: \( 6 + 0 = 6 \).
- Ones place: \( 0 + 8 = 8 \).
- Result: \( 8.687 \)

Answer: \( 8.687 \)

---

Final Answers:

\[
\boxed{
\begin{aligned}
&1. 1.414 \\
&2. 2.188 \\
&3. 2.139 \\
&4. 9.618 \\
&5. 10.117 \\
&6. 11.341 \\
&7. 2.105 \\
&8. 5.517 \\
&9. 13.1 \\
&10. 9.6 \\
&11. 8.469 \\
&12. 8.687
\end{aligned}
}
\]