Place Value Challenge: Finding Numbers with Equal Hundreds and Units Digits

Q: What if a number has only two digits like 22?

Two-digit numbers don't have a hundreds place! They only have tens and units digits. For this problem, you need at least a three-digit number to have both hundreds and units digits.

Q: Does 101 work since both end digits are the same?

Yes! In $ 101 $, the hundreds digit is 1 and the units digit is 1. Since 1 = 1, this number fits the requirement perfectly.

Q: Can the tens digit be anything?

Absolutely! The tens digit (middle digit) can be any number from 0-9. Only the hundreds and units digits need to match for this problem.

Q: What about numbers like 202 or 404?

These work great! In $ 202 $, hundreds = 2 and units = 2. In $ 404 $, hundreds = 4 and units = 4. Both satisfy the condition.

Q: How do I remember which digit is which?

Use the memory trick: H-T-U from left to right means Hundreds-Tens-Units. The hundreds place is always the leftmost digit in a three-digit number!

Place Value Identification with Three-Digit Numbers

Choose a number whose hundreds is equal to its units digit.

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Choose a number whose hundreds is equal to its units digit.

Step-by-step solution

To solve this problem of choosing a number whose hundreds digit equals its units digit, we should analyze each given option:

Option 1: $550$
- Hundreds digit: $5$
- Units digit: $0$
Option 2: $353$
- Hundreds digit: $3$
- Units digit: $3$
Option 3: $22$
- This is a two-digit number and not applicable.
Option 4: $112$
- Hundreds digit: $1$
- Units digit: $2$

Analyzing these options, only option 2, $353$ , has equal hundreds and units digits.

Thus, the solution to the problem is $353$ .

Final Answer

$353$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Hundreds digit is leftmost, units digit is rightmost
Technique: In 353, hundreds is 3, tens is 5, units is 3
Check: Compare first and last digits: 353 has 3 = 3 ✓

Common Mistakes

Avoid these frequent errors

Confusing tens and hundreds digits in three-digit numbers
Don't identify the middle digit as the hundreds place = wrong answer! The middle digit is always the tens place. Always remember: left-to-right order is hundreds, tens, units.

Practice Quiz

Test your knowledge with interactive questions

What number do the blue squares below represent?

FAQ

Everything you need to know about this question

What if a number has only two digits like 22?

Two-digit numbers don't have a hundreds place! They only have tens and units digits. For this problem, you need at least a three-digit number to have both hundreds and units digits.

Does 101 work since both end digits are the same?

Yes! In $101$ , the hundreds digit is 1 and the units digit is 1. Since 1 = 1, this number fits the requirement perfectly.

Can the tens digit be anything?

Absolutely! The tens digit (middle digit) can be any number from 0-9. Only the hundreds and units digits need to match for this problem.

What about numbers like 202 or 404?

These work great! In $202$ , hundreds = 2 and units = 2. In $404$ , hundreds = 4 and units = 4. Both satisfy the condition.

How do I remember which digit is which?

Use the memory trick: H-T-U from left to right means Hundreds-Tens-Units. The hundreds place is always the leftmost digit in a three-digit number!

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