Place Value Problem: Converting 3 Hundreds, 4 Tens, and 1 One to a Number

Q: How do I remember which digit goes where?

Remember H-T-O (Hundreds-Tens-Ones) from left to right! Just like reading, we start with the biggest place value on the left. So 3 hundreds, 4 tens, 1 one becomes 3-4-1.

Q: What if I get confused by the wording?

Focus on the place value names, not the order listed. Circle each number with its place value: 3 hundreds, 4 tens, 1 one. Then arrange by position: hundreds first, tens second, ones last.

Q: How can I check if my answer is right?

Break your number back into place values! For 341: 3 is in hundreds place (3×100=300), 4 is in tens place (4×10=40), 1 is in ones place (1×1=1). Does this match what was given?

Q: What's the difference between 341 and 143?

341 means: 3 hundreds + 4 tens + 1 one = 300 + 40 + 1143 means: 1 hundred + 4 tens + 3 ones = 100 + 40 + 3Completely different values because digits are in different positions!

Place Value Construction with Three-Digit Numbers

Number of ones: 1

Number of tens: 4

Number of hundreds: 3

Determine the correct number according to the given place values:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:09 Let's find the number. First, we need to understand what we're looking for.

00:14 Now, place the digits in their correct positions based on the information we have.

00:20 And there you have it! That's how we solve the problem. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Number of ones: 1

Number of tens: 4

Number of hundreds: 3

Determine the correct number according to the given place values:

Step-by-step solution

To solve this problem, we need to construct a number using the given place values:

Step 1: Calculate the hundreds place contribution: $3 \times 100 = 300$ .
Step 2: Calculate the tens place contribution: $4 \times 10 = 40$ .
Step 3: Calculate the ones place contribution: $1 \times 1 = 1$ .
Step 4: Sum these contributions to get the final number: $300 + 40 + 1 = 341$ .

Therefore, the correct number according to the given place values is $341$ .

Final Answer

341

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Each digit's position determines its actual value contribution
Construction Method: Multiply each digit by its place value: $3 \times 100 + 4 \times 10 + 1 \times 1$
Verification: Check that 341 has 3 hundreds, 4 tens, and 1 one ✓

Common Mistakes

Avoid these frequent errors

Writing digits in order given instead of proper place value positions
Don't write 341 as 143 just because ones (1) was listed first! This ignores place value positions and creates wrong numbers. Always place hundreds digit first, tens digit second, and ones digit last regardless of the order given.

Practice Quiz

Test your knowledge with interactive questions

Determine the numerical value of the shaded area:

FAQ

Everything you need to know about this question

Why can't I just write the numbers in the order they're given?

Place value position matters more than the order listed! The hundreds digit always goes first, tens digit second, and ones digit last. Think of it like addresses - the house number position is fixed regardless of how someone tells you the address.

How do I remember which digit goes where?

Remember H-T-O (Hundreds-Tens-Ones) from left to right! Just like reading, we start with the biggest place value on the left. So 3 hundreds, 4 tens, 1 one becomes 3-4-1.

What if I get confused by the wording?

Focus on the place value names, not the order listed. Circle each number with its place value: 3 hundreds, 4 tens, 1 one. Then arrange by position: hundreds first, tens second, ones last.

How can I check if my answer is right?

Break your number back into place values! For 341: 3 is in hundreds place (3×100=300), 4 is in tens place (4×10=40), 1 is in ones place (1×1=1). Does this match what was given?

What's the difference between 341 and 143?

341 means: 3 hundreds + 4 tens + 1 one = 300 + 40 + 1
143 means: 1 hundred + 4 tens + 3 ones = 100 + 40 + 3
Completely different values because digits are in different positions!

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