Place Value Problem: Find the Number with Digits 8, 3, and 1

Q: What's the difference between hundreds, tens, and units digits?

The hundreds digit is the leftmost position (worth 100s), tens digit is the middle (worth 10s), and units digit is rightmost (worth 1s). Think of it like building from biggest to smallest value!

Q: How do I remember which position is which?

Use the phrase "Big to Small" - start from the left with the biggest place value (hundreds) and move right to smaller ones. Or think: H-T-U from left to right!

Q: What if I get confused about left and right positions?

Try writing the place values above empty spaces: H _ T _ U _. Then fill in your digits below each letter. This visual guide prevents mix-ups!

Q: Why can't 381 be correct if it has all the right digits?

Having the right digits isn't enough - they must be in the correct positions! In 381, the 3 is in hundreds place, but the problem says 3 is the tens digit.

Place Value Identification with Three-Digit Numbers

My tens digit is 3, my hundreds digit is 8, and my units digit is 1 - What number am I?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

My tens digit is 3, my hundreds digit is 8, and my units digit is 1 - What number am I?

Step-by-step solution

To solve this problem, we'll create a number using the given digit positions:

Step 1: Identify the hundreds digit. The hundreds digit is 8, so this becomes the leading digit of our number.
Step 2: Identify the tens digit. The tens digit is 3, placing this second in the number.
Step 3: Identify the units digit. The units digit is 1, placing this at the end of the number.
Step 4: Concatenate these digits to form the full number.

Following these steps:
- The hundreds digit is 8, so the number starts with 8.
- The tens digit is 3, making the next digit 3.
- The units digit is 1, so the final digit is 1.
By combining these, we obtain the number 831.

Therefore, the solution to the problem is $831$ , which corresponds to choice 2.

Final Answer

$831$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Hundreds, tens, units positions determine digit placement
Construction Method: Arrange digits left-to-right: 8 (hundreds), 3 (tens), 1 (units)
Verification: Read final number aloud to confirm correct digit positions ✓

Common Mistakes

Avoid these frequent errors

Confusing digit positions when building the number
Don't mix up which digit goes where or arrange them randomly = wrong number like 381 or 318! This happens when you don't follow the hundreds-tens-units order from left to right. Always place the hundreds digit first (leftmost), tens digit in middle, units digit last (rightmost).

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's the difference between hundreds, tens, and units digits?

The hundreds digit is the leftmost position (worth 100s), tens digit is the middle (worth 10s), and units digit is rightmost (worth 1s). Think of it like building from biggest to smallest value!

How do I remember which position is which?

Use the phrase "Big to Small" - start from the left with the biggest place value (hundreds) and move right to smaller ones. Or think: H-T-U from left to right!

What if I get confused about left and right positions?

Try writing the place values above empty spaces: H _ T _ U _. Then fill in your digits below each letter. This visual guide prevents mix-ups!

Why can't 381 be correct if it has all the right digits?

Having the right digits isn't enough - they must be in the correct positions! In 381, the 3 is in hundreds place, but the problem says 3 is the tens digit.

How can I double-check my answer?

Read your number from left to right and identify each digit's position: "The hundreds digit is _, the tens digit is _, the units digit is _." Compare this to what the problem asked for.

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