Number Pattern Problem: Matching First and Last Digits in Three-Digit Numbers

Q: Which digit is the hundreds place in a three-digit number?

The hundreds digit is always the leftmost digit in a three-digit number. In $ 858 $, the hundreds digit is 8.

Q: What's the difference between units digit and ones digit?

They're the same thing! Units digit and ones digit both refer to the rightmost digit in any number. Some textbooks use different terms but they mean exactly the same position.

Q: Can the tens digit ever be part of this comparison?

No! This problem only asks about hundreds and units digits. The tens digit (middle digit) is not involved in the comparison at all.

Q: What if two options both have matching first and last digits?

Choose any one that works! The question asks you to "choose a number" that meets the condition, so any correct option is a valid answer.

Q: How do I remember which is hundreds and which is units?

Think left to right: hundreds, tens, units. Or use place value: the hundreds place is worth 100s, so it's the biggest and comes first (leftmost).

Place Value with Digit Matching

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

Step-by-step solution

To determine the correct number, check the digits of each option to see if the hundreds digit equals the units digit:

Option 1: $644$ - hundreds digit is $6$ , units digit is $4$ (they are not equal).
Option 2: $858$ - hundreds digit is $8$ , units digit is $8$ (they are equal).
Option 3: $677$ - hundreds digit is $6$ , units digit is $7$ (they are not equal).
Option 4: $550$ - hundreds digit is $5$ , units digit is $0$ (they are not equal).

Therefore, the number that meets the condition where the hundreds digit equals the units digit is $\textbf{858}$ .

Final Answer

$858$

Key Points to Remember

Essential concepts to master this topic

Place Value: Hundreds digit is leftmost, units digit is rightmost
Technique: Compare first and last digits: $858$ has 8 and 8
Check: Write out positions: hundreds=8, tens=5, units=8 → 8=8 ✓

Common Mistakes

Avoid these frequent errors

Confusing units digit with tens digit
Don't identify the tens digit (middle) as the units digit = wrong comparison! The units digit is always the rightmost digit in any number. Always look at the first digit (hundreds) and last digit (units) only.

Practice Quiz

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What number do the blue squares below represent?

FAQ

Everything you need to know about this question

Which digit is the hundreds place in a three-digit number?

The hundreds digit is always the leftmost digit in a three-digit number. In $858$ , the hundreds digit is 8.

What's the difference between units digit and ones digit?

They're the same thing! Units digit and ones digit both refer to the rightmost digit in any number. Some textbooks use different terms but they mean exactly the same position.

Can the tens digit ever be part of this comparison?

No! This problem only asks about hundreds and units digits. The tens digit (middle digit) is not involved in the comparison at all.

What if two options both have matching first and last digits?

Choose any one that works! The question asks you to "choose a number" that meets the condition, so any correct option is a valid answer.

How do I remember which is hundreds and which is units?

Think left to right: hundreds, tens, units. Or use place value: the hundreds place is worth 100s, so it's the biggest and comes first (leftmost).

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