The image shows a set of
"Expanded Form Puzzles" designed to help students understand how numbers can be broken down into their place values (hundreds, tens, and ones). Each puzzle consists of a number written in standard form on one piece, and the corresponding expanded form split across other pieces.
Let’s go through each puzzle and verify or complete the expanded forms:
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🔹 Puzzle 1: 1,963
- Standard form:
1,963
- Expanded form:
- 1,000 + 900 + 60 + 3
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✔ This matches perfectly.
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🔹 Puzzle 2: 36
- Standard form:
36
- Expanded form:
- 30 + 6
-
✔ Correct.
---
🔹 Puzzle 3: 47
- Standard form:
47
- Expanded form:
- 40 + 7
-
✔ Correct.
---
🔹 Puzzle 4: 357
- Standard form:
357
- Expanded form:
- 300 + 50 + 7
-
✔ Correct.
---
🔹 Puzzle 5: 417
- Standard form:
417
- Expanded form:
- 400 + 10 + 7
-
✔ Correct.
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🔹 Puzzle 6: 125
- Standard form:
125
- Expanded form:
- 100 + 20 + 5
-
✔ Correct — even though one piece is slightly detached, it clearly shows the full expansion.
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✔ Summary:
All the puzzles correctly represent the
expanded form of the given numbers by breaking them down into their
place value components:
| Number | Expanded Form |
|--------|----------------|
| 1,963 | 1,000 + 900 + 60 + 3 |
| 36 | 30 + 6 |
| 47 | 40 + 7 |
| 357 | 300 + 50 + 7 |
| 417 | 400 + 10 + 7 |
| 125 | 100 + 20 + 5 |
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🧩 How These Puzzles Work:
These are educational tools where students match the
standard number with its
expanded form. The puzzle format makes learning interactive and fun.
For example:
- A student sees "36" and must find the two pieces that say "30 + 6".
- Or for "1,963", they match four pieces: "1,000 +", "900 +", "60 +", and "3".
This reinforces understanding of
place value, which is foundational in mathematics.
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✔ Conclusion: All puzzles are correctly solved and demonstrate the concept of
expanded form accurately. Great for classroom use or at-home practice!
Parent Tip: Review the logic above to help your child master the concept of expanded form games.