What number am I?

Clues

I have six digits.

The value of my tens is 6 x 10.

I have fewer than 5 hundreds but more than 2 hundreds

I have 3 more ten thousands than I have tens

The digit in my hundred thousands place is 3 times the digit in my hundreds place.

The value of my thousands is 10 times as much as the value of my hundreds.

My ones digit can be represented by a single ones block.

Let's break down the clues step by step to determine the number.

### Clue 1: I have six digits.
- The number is six digits long, so it is in the form: \[ \_ \_ \_ \_ \_ \_ \].

### Clue 2: The value of my tens is 6 x 10.
- This means the value in the tens place is 60, so the digit in the tens place is 6.

\[\_ \_ \_ \_ 6 \_\]

### Clue 3: I have fewer than 5 hundreds but more than 2 hundreds.
- The hundreds digit is between 3 and 4 (inclusive). So the digit in the hundreds place is either 3 or 4.

\[\_ \_ \_ 3/4 6 \_\]

### Clue 4: I have 3 more ten thousands than I have tens.
- The tens digit is 6 (from Clue 2). So the ten thousands digit must be 6 + 3 = 9.

\[\_ 9 \_ 3/4 6 \_\]

### Clue 5: The digit in my hundred thousands place is 3 times the digit in my hundreds place.
- If the hundreds digit is 3, then the hundred thousands digit must be 3 × 3 = 9.
- If the hundreds digit is 4, then the hundred thousands digit must be 3 × 4 = 12, but this is impossible since a digit must be between 0 and 9.
- Therefore, the hundreds digit must be 3, and the hundred thousands digit is 9.

\[
9 9 \_ 3 6 \_\]

### Clue 6: The value of my thousands is 10 times as much as the value of my hundreds.
- The value in the hundreds place is 3, so the value in the thousands place must be 30, meaning the thousands digit is 0.

\[
9 9 0 3 6 \_\]

### Clue 7: My ones digit can be represented by a single ones block.
- This means the ones digit is 1.

\[
9 9 0 3 6 1
\]

### Final Answer:
The number is **990361**.

Would you like further details or have any questions?

Here are 5 related questions:
1. How would the problem change if the tens digit were different?
2. What would happen if the thousands digit had a different relation to the hundreds?
3. Can a similar puzzle be made with a five-digit number?
4. What role does place value play in constructing such problems?
5. How would this puzzle change if it had a seven-digit number?

**Tip:** Always start by solving constraints that provide direct values first, like specific digits mentioned.

What number am I?

Clues:
1. I have six digits.
2. The value of my tens is 6 x 10.
3. I have fewer than 5 hundreds but more than 2 hundreds.
4. I have 3 more ten thousands than I have tens.
5. The digit in my hundred thousands place is 3 times the digit in my hundreds place.
6. The value of my thousands is 10 times as much as the value of my hundreds.
7. My ones digit can be represented by a single ones block.

Solve this place value puzzle to find a six-digit number. The clues involve reasoning through digit values in different positions, comparing hundreds, tens, and thousands places, and using logical deduction. Suitable for Grades 5-7 students learning about place value and number properties.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation