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.

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

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 am I?

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!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Natural Numbers around 100 questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime