Homophone practice worksheets middle school HD phone wallpaper - Free Printable

Let's solve the "Decimal Operations: Follow the Path" worksheet step by step. We’ll follow the arrows from START to FINISH, performing each operation and writing the result in each circle.

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Step-by-step Solution

We begin at the START with:

> 1.38

---

#### 1. 1.38 + 6.84
```
1.38
+6.84
------
8.22
```
✔ First circle: 8.22

---

#### 2. 8.22 - 5.92
```
8.22
-5.92
-----
2.30
```
✔ Second circle: 2.30

---

#### 3. 2.30 × 6.5

Let’s compute:
```
2.30 × 6.5 = ?
```

First, ignore decimals:
```
230 × 65 = ?
```

Break it down:
```
230 × 60 = 13,800
230 × 5 = 1,150
Total = 13,800 + 1,150 = 14,950
```

Now count decimal places:
- 2.30 has 2 decimal places
- 6.5 has 1 decimal place
→ Total: 3 decimal places

So:
```
14,950 → 14.950 → 14.95
```

✔ Third circle (down): 14.95

---

#### 4. 14.95 + 13.7
```
14.95
+13.70
-------
28.65
```
✔ Fourth circle (right): 28.65

---

#### 5. 28.65 ÷ 2.5

Let’s divide:
```
28.65 ÷ 2.5
```

To make it easier, multiply numerator and denominator by 10:
```
286.5 ÷ 25
```

Now divide:
```
25 × 11 = 275
286.5 - 275 = 11.5
Bring down: 11.5 → 115 tenths
25 × 4 = 100 → 115 - 100 = 15
Next: 150 hundredths → 25 × 6 = 150
```

So:
```
11.46
```

✔ Fifth circle (down): 11.46

---

#### 6. 11.46 + 8.74
```
11.46
+8.74
------
20.20
```
✔ Sixth circle (left): 20.20

---

#### 7. 20.20 × 5.3

Compute:
```
20.20 × 5.3
```

Break it down:
```
20.20 × 5 = 101.00
20.20 × 0.3 = 6.06
Add: 101.00 + 6.06 = 107.06
```

✔ Seventh circle (left): 107.06

---

#### 8. 107.06 - 26.42
```
107.06
-26.42
-------
80.64
```
✔ Eighth circle (up): 80.64

---

#### 9. 80.64 + 3.2
```
80.64
+3.20
------
83.84
```
✔ Ninth circle (left): 83.84

---

#### 10. 83.84 × 8.6

Compute:
```
83.84 × 8.6
```

Break it down:
```
83.84 × 8 = 670.72
83.84 × 0.6 = 50.304
Add: 670.72 + 50.304 = 721.024
```

✔ Tenth circle (down): 721.024

---

#### 11. 721.024 + 8.28
```
721.024
+ 8.280
--------
729.304
```
✔ Eleventh circle (down): 729.304

---

#### 12. 729.304 + 1.5
```
729.304
+ 1.500
--------
730.804
```
✔ Twelfth circle (right): 730.804

---

#### 13. 730.804 - 51.83
```
730.804
-51.830
--------
678.974
```
✔ Final circle (FINISH): 678.974

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✔ Final Answer:

The number in the FINISH circle is 678.974

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📌 Summary of All Circles (Path):

1. Start: 1.38
2. → 8.22
3. → 2.30
4. ↓ 14.95
5. → 28.65
6. ↓ 11.46
7. ← 20.20
8. ← 107.06
9. ↑ 80.64
10. ← 83.84
11. ↓ 721.024
12. ↓ 729.304
13. → 730.804
14. → 678.974 ✔ FINISH

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✔ Answer: 678.974

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