https://file.aiquickdraw.com/mathbot/file/17277519452378pwu8sei.jpg

Let's break down the clues provided in the image to solve the 3-digit mystery number:

1. **Clue #1:** The number is greater than 400.
   - This means the number is between 401 and 999.

2. **Clue #2:** The hundreds digit is odd.
   - Possible odd digits for the hundreds place are 5, 7, and 9. 

3. **Clue #3:** You use a total of 16 base ten blocks to show this number, and 4 of the blocks are tens blocks.
   - This means the total number of blocks is 16, where 4 are tens blocks. This tells us there are 40 units contributed by the tens place (because \(4 \times 10 = 40\)).

4. **Clue #4:** There is 1 more ones block than tens blocks.
   - Since there are 4 tens blocks, there must be \(4 + 1 = 5\) ones blocks.

Now, let's put these clues together:

- The number of ones blocks is 5, so the ones digit is 5.
- The tens digit is 4 (since there are 4 tens blocks).
- The hundreds digit must be one of the odd numbers (from Clue #2), and based on the base ten blocks, the total number of blocks is 16. We already have 4 tens blocks and 5 ones blocks, which leaves \(16 - 4 - 5 = 7\) hundreds blocks. So, the hundreds digit is 7.

Thus, the 3-digit mystery number is **745**.

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Do you want more details on any part of the explanation or have any questions?

Here are 5 questions related to this topic:
1. How would the answer change if there were only 3 tens blocks?
2. What other mystery numbers fit if we change Clue #4?
3. How would this problem change if we were working with a 4-digit number?
4. Could we use base 5 blocks to solve this instead of base 10?
5. What if the number had to be even—what would the possibilities be?

**Tip:** When working with base ten blocks, always count the number of hundreds, tens, and ones separately to build the number step by step.

Use the following clues to find the 3-digit mystery number:
Clue #1: It is greater than 400.
Clue #2: The hundreds digit is odd.
Clue #3: You use a total of 16 base ten blocks to show this number. 4 of the blocks are tens blocks.
Clue #4: There is 1 more ones block than tens blocks.

Learn how to solve a mystery number greater than 400 with base ten blocks and logical reasoning. Clues include tens and ones block count, and the mystery number is revealed to be 745. Suitable for Grades 4-6.

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