Place Value Puzzle: Finding Numbers with Units Digit = Hundredths + 3

Q: Which digit is the hundredths digit in a whole number like 508?

In whole numbers, the hundredths digit is actually the hundreds place - the leftmost digit! So in 508, the hundreds digit is 5, tens is 0, and units is 8.

Q: How do I remember which digit is which?

Think left to right: hundreds, tens, units. Or remember big to small - hundreds are bigger than tens, tens are bigger than units!

Q: What if the difference isn't exactly 3?

Then that number doesn't work! The units digit must be exactly 3 more than the hundreds digit. Like in 125: $ 5 - 1 = 4 $, not 3, so it's wrong.

Q: Can the hundreds digit be larger than the units digit?

Yes! Like in 623: hundreds digit is 6, units is 3. But $ 3 - 6 = -3 $, which means the units digit is smaller by 3, not larger by 3.

Q: What happens if I get confused about place values?

Write the number clearly and label each digit: 508 becomes H=5, T=0, U=8. Then check: is U exactly 3 more than H? $ 8 - 5 = 3 $ ✓

Place Value Comparison with Multi-Digit Numbers

Choose a number whose units digit is larger by 3 than its hundredths 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 units digit is larger by 3 than its hundredths digit.

Step-by-step solution

To solve this problem, we need to evaluate each given number to ensure the units digit is 3 more than the hundredths digit:

Let's analyze the possible answer choices:

508:

- Hundredths digit: $5$
- Units digit: $8$

Check condition: $8$ (units) is indeed 3 more than $5$ (hundredths). This option satisfies the condition.

333:

- Hundredths digit: $3$
- Units digit: $3$

Check condition: $3$ is not 3 more than $3$ . This option does not satisfy the condition.

623:

- Hundredths digit: $6$
- Units digit: $3$

Check condition: $3$ (units) is not 3 more than $6$ (hundredths). This option does not satisfy the condition.

125:

- Hundredths digit: $1$
- Units digit: $5$

Check condition: $5$ (units) is 4 more than $1$ (hundredths), not 3. This option does not satisfy the condition.

Therefore, the solution to the problem is $508$ .

Final Answer

$508$

Key Points to Remember

Essential concepts to master this topic

Place Value: Identify hundreds, tens, and units digits correctly
Technique: Units digit minus hundredths digit must equal 3
Check: Verify 8 - 5 = 3 for answer 508 ✓

Common Mistakes

Avoid these frequent errors

Confusing digit positions in three-digit numbers
Don't mix up hundreds and units positions = wrong digit identification! Students often reverse the positions or count from the wrong direction. Always identify: leftmost digit is hundreds, middle is tens, rightmost is units.

Practice Quiz

Test your knowledge with interactive questions

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FAQ

Everything you need to know about this question

Which digit is the hundredths digit in a whole number like 508?

In whole numbers, the hundredths digit is actually the hundreds place - the leftmost digit! So in 508, the hundreds digit is 5, tens is 0, and units is 8.

How do I remember which digit is which?

Think left to right: hundreds, tens, units. Or remember big to small - hundreds are bigger than tens, tens are bigger than units!

What if the difference isn't exactly 3?

Then that number doesn't work! The units digit must be exactly 3 more than the hundreds digit. Like in 125: $5 - 1 = 4$ , not 3, so it's wrong.

Can the hundreds digit be larger than the units digit?

Yes! Like in 623: hundreds digit is 6, units is 3. But $3 - 6 = -3$ , which means the units digit is smaller by 3, not larger by 3.

What happens if I get confused about place values?

Write the number clearly and label each digit: 508 becomes H=5, T=0, U=8. Then check: is U exactly 3 more than H? $8 - 5 = 3$ ✓

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