Place Value Problem: Finding 289 Using Digit Positions

Q: How do I remember which place is which?

Think of it like reading from left to right: hundreds come first, then tens, then ones. It's the same order we use when counting: 100, 10, 1.

Q: Can I work backwards to check my answer?

Yes! Take your answer $ 289 $ and identify each digit: What's in the ones place? 9 ✓ Tens place? 8 ✓ Hundreds place? 2 ✓

Q: Why does the position of digits matter so much?

Because each position represents a different value. The digit 2 means 200 in the hundreds place, but only 20 in the tens place. Position determines the actual value!

Q: What's the easiest way to build the number?

Start with the hundreds place and work right: write 2__, then add the tens digit for 28_, then finish with the ones digit for 289.

Place Value Identification with Three-Digit Numbers

My ones digit is 9, my hundreds digit is 2, and my tens digit is 8 - who am I?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

My ones digit is 9, my hundreds digit is 2, and my tens digit is 8 - who am I?

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the given digit values for each place (hundreds, tens, and ones).
Step 2: Construct the number using the given digit values in the correct positions.
Step 3: Compare the constructed number with given choices to confirm correctness.

Now, let's work through each step:
Step 1: The hundreds digit is 2, the tens digit is 8, and the ones digit is 9.
Step 2: Construct the number by arranging the digits according to place values:
- Hundreds place: 2
- Tens place: 8
- Ones place: 9

Thus, the number is $289$ .

Step 3: Among the given choices, the number $289$ matches precisely our constructed number.

Therefore, the solution to the problem is $289$ .

Final Answer

$289$

Key Points to Remember

Essential concepts to master this topic

Rule: Each digit position has a specific place value
Technique: Arrange digits by position: hundreds-tens-ones like 2-8-9
Check: Read your number aloud to verify correct digit placement ✓

Common Mistakes

Avoid these frequent errors

Mixing up the order of place values
Don't arrange digits randomly like putting 8 in hundreds place = 892 instead of 289! This confuses the positional system and creates wrong numbers. Always follow the order: hundreds, tens, ones from left to right.

Practice Quiz

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What number do the blue squares below represent?

FAQ

Everything you need to know about this question

How do I remember which place is which?

Think of it like reading from left to right: hundreds come first, then tens, then ones. It's the same order we use when counting: 100, 10, 1.

What if I put the digits in the wrong order?

You'll get a completely different number! For example, if you put 9 in the hundreds place instead of ones, you'd get $928$ instead of $289$ . Always double-check your digit placement.

Can I work backwards to check my answer?

Yes! Take your answer $289$ and identify each digit: What's in the ones place? 9 ✓ Tens place? 8 ✓ Hundreds place? 2 ✓

Why does the position of digits matter so much?

Because each position represents a different value. The digit 2 means 200 in the hundreds place, but only 20 in the tens place. Position determines the actual value!

What's the easiest way to build the number?

Start with the hundreds place and work right: write 2__, then add the tens digit for 28_, then finish with the ones digit for 289.

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