Math Problem Statement
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 22 base ten blocks to show this number. 9 of the blocks are tens blocks. Clue #4: There are 3 more tens blocks than ones blocks.
Solution
Let's break down the clues one by one to find the 3-digit mystery number.
Clues:
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It is greater than 400.
- This means the number is at least 401 or higher.
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The hundreds digit is odd.
- Possible hundreds digits: 4 does not work, so the hundreds digit could be 5, 7, or 9.
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You use a total of 22 base ten blocks to show this number. Nine of the blocks are tens blocks.
- In a base ten representation:
- Each hundred uses 10 blocks.
- Each ten uses 1 block.
- Each one uses 1 block.
- So far, 9 of the blocks are tens blocks, meaning the tens digit is 9 (since 9 tens blocks means a value of 90).
- In a base ten representation:
-
There are 3 more tens blocks than ones blocks.
- Since there are 9 tens blocks, there must be 6 ones blocks (because 9 - 6 = 3).
Solving the problem:
- The number is greater than 400.
- The hundreds digit is odd.
- Tens digit = 9.
- Ones digit = 6.
The possible number is 596.
Would you like more details, or do you have any questions?
Here are some relative questions:
- What other 3-digit numbers could fit these clues if the number was less than 400?
- How many base ten blocks are needed for a number like 700?
- What if the tens digit was even—how would that change the problem?
- Can the number be smaller than 500 and still fit these clues?
- How do base ten blocks help in understanding place value?
Tip: When solving riddles with clues, eliminate impossible options step by step to narrow down the solution efficiently.
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Math Problem Analysis
Mathematical Concepts
Place Value
Base 10 System
Number Representation
Formulas
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Theorems
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Suitable Grade Level
Grades 4-6