If Rebecca knows her number is greater than 15,724 by looking at the digits in the tens place, it means that the tens digit must be higher than the tens digit in 15,724, which is 2.

Here’s how we can break it down:

• 15,724 has the digit 2 in the tens place.
• For the number to be greater, the tens digit must be larger than 2.
• Therefore, Rebecca’s number must have a tens digit of 3 or more.

Let’s form possible numbers based on that:

1. 15,730 is the smallest number where the tens digit is 3 (greater than 2).
2. Rebecca’s number can be anything greater than or equal to 15,730.

Thus, Rebecca’s number could be 15,730 or any number larger than 15,730.

Would you like further clarification or details?

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Here are some related questions to expand your understanding:

1. How would the number change if the hundreds place had to be higher than in 15,724?
2. What happens if Rebecca's number must be less than 15,724?
3. What if the requirement was for the units place to be higher instead of the tens?
4. How many numbers can Rebecca choose from if her number is a five-digit number and greater than 15,724?
5. How would the problem change if Rebecca's number had to be an even number?

Tip: Pay attention to the place values (tens, hundreds, etc.) when comparing numbers!