Let's break down each child's clue and match it with the numbers provided: 15,987, 15,813, 15,101, and 16,101.

1. Filip says, “My number rounds to 16,000 to the nearest thousand.”

   • The number closest to 16,000 when rounded to the nearest thousand is 15,813 because:
     • Rounding 15,813 to the nearest thousand gives us 16,000.
   • So, Filip’s number is 15,813.

2. Esther says, “My number has 1 hundred.”

   • The number that contains a 1 in the hundreds place is 16,101.
   • So, Esther’s number is 16,101.

3. Jack says, “My number is 15,990 when rounded to the nearest ten.”

   • The number that rounds to 15,990 when rounded to the nearest ten is 15,987, because:
     • Rounding 15,987 to the nearest ten gives 15,990.
   • So, Jack’s number is 15,987.

4. Dora says, “My number is 15,000 when rounded to the nearest thousand.”

   • The number that rounds to 15,000 when rounded to the nearest thousand is 15,101, because:
     • Rounding 15,101 to the nearest thousand gives us 15,000.
   • So, Dora’s number is 15,101.

Final matching:

• Filip: 15,813
• Esther: 16,101
• Jack: 15,987
• Dora: 15,101

Do you want further details or have any questions about rounding numbers?

Here are 5 related questions to explore:

1. How do you round numbers to the nearest ten?
2. Why is rounding to the nearest thousand useful in estimation?
3. What are other strategies for matching numbers based on clues?
4. Can you round decimals the same way as whole numbers?
5. How does rounding affect large datasets?

Tip: When rounding, if the digit immediately after the rounding place is 5 or higher, round up. If it's 4 or lower, round down.