Place Value Problem: Find the Number 3-5-7 in Expanded Form

Q: Why can't I just write the digits 3-5-7 in that order?

You need to put each digit in its correct place value position! The problem tells you which place each digit belongs in, not the order to write them.

Q: What's the difference between hundreds digit and tens digit?

Hundreds digit is the leftmost digit (worth 100s), tens digit is the middle digit (worth 10s), and units digit is the rightmost digit (worth 1s).

Q: How do I remember which place value is which?

Think from right to left: ones place (units), tens place, hundreds place. The rightmost position is always the ones place!

Q: What if I get confused about the order?

Write out the place values first: _ _ _ (hundreds, tens, ones). Then fill in each digit where it belongs according to the problem.

Place Value Construction with Three-Digit Numbers

My hundreds digit is 3, my tens digit is 5, and my units digit is 7.

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 hundreds digit is 3, my tens digit is 5, and my units digit is 7.

What number am I?

Step-by-step solution

To solve this problem, we will construct the number using the given digits:

Step 1: Calculate the contribution of the hundreds digit.
The hundreds digit is 3, so it contributes $3 \times 100 = 300$ .
Step 2: Calculate the contribution of the tens digit.
The tens digit is 5, so it contributes $5 \times 10 = 50$ .
Step 3: Calculate the contribution of the units digit.
The units digit is 7, so it contributes $7 \times 1 = 7$ .
Step 4: Sum up all these contributions to get the final number.
Therefore, the number is $300 + 50 + 7 = 357$ .

Thus, the number that satisfies the given conditions is $\mathbf{357}$ .

Final Answer

$357$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Each digit's value equals digit times place value
Technique: Calculate $3 \times 100 + 5 \times 10 + 7 \times 1 = 357$
Check: Read final number digit by digit: 3 hundreds, 5 tens, 7 ones ✓

Common Mistakes

Avoid these frequent errors

Writing digits in wrong order based on how they're listed
Don't write 357 as 753 just because you see the digits 3-5-7 listed = wrong place values! This puts 7 in hundreds place instead of ones. Always identify which digit goes in which place value position first.

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

Why can't I just write the digits 3-5-7 in that order?

You need to put each digit in its correct place value position! The problem tells you which place each digit belongs in, not the order to write them.

What's the difference between hundreds digit and tens digit?

Hundreds digit is the leftmost digit (worth 100s), tens digit is the middle digit (worth 10s), and units digit is the rightmost digit (worth 1s).

How do I remember which place value is which?

Think from right to left: ones place (units), tens place, hundreds place. The rightmost position is always the ones place!

What if I get confused about the order?

Write out the place values first: _ _ _ (hundreds, tens, ones). Then fill in each digit where it belongs according to the problem.

Can the same digit appear in different place values?

Yes! A digit like 5 can be in any place value position. What matters is where you put it - that determines its actual value in the number.

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