Octagon Multiplication (Multiply—2-Digit Factors) | Printable ... - Free Printable
Educational worksheet: Octagon Multiplication (Multiply—2-Digit Factors) | Printable .... Download and print for classroom or home learning activities.
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Step-by-step solution for: Octagon Multiplication (Multiply—2-Digit Factors) | Printable ...
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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:
---
#### 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 2000 → blue
- 2001 and 4000 → purple
- 4001 and 6000 → orange
- 6001 and 8000 → green
- 8001 and 10000 → red
(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 = 1504 → blue
##### 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 = 1961 → blue
##### 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 = 1512 → blue
##### Example 11: 75 × 25
- 75 × 25 = 1875 → blue
---
#### 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.
---
#### 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.
---
- 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.
---
| 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!
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:
---
🔧 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 2000 → blue
- 2001 and 4000 → purple
- 4001 and 6000 → orange
- 6001 and 8000 → green
- 8001 and 10000 → red
(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 = 1504 → blue
##### 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 = 1961 → blue
##### 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 = 1512 → blue
##### Example 11: 75 × 25
- 75 × 25 = 1875 → blue
---
#### 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.
---
#### 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.