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Octagon Multiplication (Multiply—2-Digit Factors) | Printable ... - Free Printable

Octagon Multiplication (Multiply—2-Digit Factors) | Printable ...

Educational worksheet: Octagon Multiplication (Multiply—2-Digit Factors) | Printable .... Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Octagon Multiplication (Multiply—2-Digit Factors) | Printable ...
Since I can't view or access images directly, I can't see the specific multiplication problems or the image you're referring to. However, based on your description, it appears to be a color-by-number worksheet titled "Octagon Multiplication", where students solve multiplication problems and then color each section of an octagon-shaped puzzle according to a color key.

Let me walk you through how to solve this type of problem step by step, assuming the image contains multiplication problems in each segment of an octagon, and a color key at the bottom:

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🔧 Step-by-Step Solution Guide



#### 1. Understand the Instructions
The task says:
> "Multiply. Color the picture. Use the color key."

And the color key is:
- If the answer is between:
- 0 and 2000blue
- 2001 and 4000purple
- 4001 and 6000orange
- 6001 and 8000green
- 8001 and 10000red

(If not all ranges are listed, use the ones provided.)

---

#### 2. Solve Each Multiplication Problem
Each segment (triangle) of the octagon has a multiplication problem like:
```
72 × 25
52 × 38
...
```

Let’s work through a few examples:

##### Example 1: 72 × 25
- 72 × 25 = (70 + 2) × 25 = 70×25 + 2×25 = 1750 + 50 = 1800
- 1800 is between 0 and 2000 → Color: blue

##### Example 2: 52 × 38
- 52 × 38 = ?
- Break it down:
50×38 = 1900
2×38 = 76
Total = 1900 + 76 = 1976
- 1976 < 2000 → Color: blue

##### Example 3: 47 × 32
- 47 × 32 = ?
- 40×32 = 1280
7×32 = 224
Total = 1280 + 224 = 1504blue

##### Example 4: 86 × 47
- 86 × 47 = ?
- 80×47 = 3760
6×47 = 282
Total = 3760 + 282 = 4042
- 4042 is between 4001 and 6000 → Color: orange

##### Example 5: 90 × 36
- 90 × 36 = 3240 → purple

##### Example 6: 53 × 37
- 50×37 = 1850
3×37 = 111
Total = 1850 + 111 = 1961blue

##### Example 7: 69 × 60
- 69 × 60 = 4140 → orange

##### Example 8: 61 × 14
- 60×14 = 840
1×14 = 14
Total = 854 → blue

##### Example 9: 60 × 38
- 60 × 38 = 2280 → purple

##### Example 10: 27 × 56
- 20×56 = 1120
7×56 = 392
Total = 1120 + 392 = 1512blue

##### Example 11: 75 × 25
- 75 × 25 = 1875 → blue

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#### 3. Use the Color Key
Now, go back to the octagon and color each triangle based on the result:
- Blue: answers from 0–2000 (e.g., 1800, 1976, 1504, etc.)
- Purple: 2001–4000 (e.g., 2280, 3240)
- Orange: 4001–6000 (e.g., 4042, 4140)
- Green: 6001–8000
- Red: 8001–10000

Note: Some problems may exceed these ranges — if so, check for typos or use the given range.

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#### 4. Final Step: Color the Picture
After solving all problems, fill in each space with the correct color. The final result should be a colorful octagon pattern based on the math.

---

Tips:


- Double-check multiplication using estimation or calculator.
- Keep track of which problem goes with which shape.
- Use a pencil first to mark answers before coloring.

---

🎨 Sample Answer Summary (based on above):


| Problem | Answer | Range | Color |
|---------------|--------|--------------|----------|
| 72 × 25 | 1800 | 0–2000 | Blue |
| 52 × 38 | 1976 | 0–2000 | Blue |
| 47 × 32 | 1504 | 0–2000 | Blue |
| 86 × 47 | 4042 | 4001–6000 | Orange |
| 90 × 36 | 3240 | 2001–4000 | Purple |
| 53 × 37 | 1961 | 0–2000 | Blue |
| 69 × 60 | 4140 | 4001–6000 | Orange |
| 61 × 14 | 854 | 0–2000 | Blue |
| 60 × 38 | 2280 | 2001–4000 | Purple |
| 27 × 56 | 1512 | 0–2000 | Blue |
| 75 × 25 | 1875 | 0–2000 | Blue |

---

If you can provide the specific multiplication problems from the image (or list them), I can help you solve each one and give exact colors!

Otherwise, follow this method for every triangle in the octagon. Let me know if you'd like a printable version or a completed color map!
Parent Tip: Review the logic above to help your child master the concept of double digit multiplication puzzle worksheet.
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