Place Value Problem: Find the Number with Digits 9, 6, and 1

Q: Which digit goes where if I know the place values?

Think of a three-digit number as having three boxes: [hundreds][tens][units]. Put each digit in its named position: hundreds digit in the left box, tens in middle, units on the right.

Q: What's the difference between digit value and place value?

The digit value is the number itself (like 6), but place value tells you its position and worth. The digit 6 in the tens place is worth 60, not just 6!

Q: How do I remember which place is which?

Start from the right and count: units (ones), tens, hundreds. The units place is always the rightmost digit in any whole number.

Q: Can a three-digit number start with zero?

No! If the hundreds digit is 0, it's actually a two-digit number. For example, 061 is really just 61. Three-digit numbers always have digits 1-9 in the hundreds place.

Place Value Construction with Three-Digit Numbers

My tens digit is 6, my hundreds digit is 9, and my units digit is 1 - Which number am I?

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Step-by-step written solution

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Understand the problem

My tens digit is 6, my hundreds digit is 9, and my units digit is 1 - Which number am I?

Step-by-step solution

To determine the three-digit number, we need to construct it based on given digit positions:

Step 1: Start with the hundreds digit, which is 9.
Step 2: The tens digit is 6, so write 6 in the tens place.
Step 3: Finally, the units digit is 1, placing 1 in the units place.

Aligning these digits correctly forms the number:

$961$

Therefore, the number is $961$ .

Final Answer

$961$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Hundreds-tens-units position determines each digit's value
Construction Method: Write 9 in hundreds, 6 in tens, 1 in units place
Verification: Count positions from right: units-tens-hundreds gives 961 ✓

Common Mistakes

Avoid these frequent errors

Reading place values from left to right
Don't think hundreds digit comes first when reading the clues = you'll write 169 instead of 961! Place value positions are named from right to left, not left to right. Always identify the hundreds place (leftmost), tens place (middle), and units place (rightmost) correctly.

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 goes where if I know the place values?

Think of a three-digit number as having three boxes: [hundreds][tens][units]. Put each digit in its named position: hundreds digit in the left box, tens in middle, units on the right.

What's the difference between digit value and place value?

The digit value is the number itself (like 6), but place value tells you its position and worth. The digit 6 in the tens place is worth 60, not just 6!

How do I remember which place is which?

Start from the right and count: units (ones), tens, hundreds. The units place is always the rightmost digit in any whole number.

Can a three-digit number start with zero?

No! If the hundreds digit is 0, it's actually a two-digit number. For example, 061 is really just 61. Three-digit numbers always have digits 1-9 in the hundreds place.

What if I mix up the tens and units places?

You'll get a completely different number! For this problem, mixing them up would give you 916 instead of 961. Always double-check by reading your answer aloud: 'nine hundred sixty-one.'

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