Place Value Practice: Converting 4 Hundreds, 6 Tens, 5 Ones to Standard Form

Q: Why can't I just write the digits 4, 6, 5 in order?

Because place value matters! The problem tells you how many of each place value, not the order of digits. 4 hundreds means the 4 goes in the hundreds place, making it 465, not 456.

Q: What if I get confused about which digit goes where?

Use the multiplication method: 4 hundreds = 4×100 = 400, 6 tens = 6×10 = 60, 5 ones = 5×1 = 5. Then add: 400 + 60 + 5 = 465.

Q: How do I remember the order of place values?

Think left to right: hundreds, tens, ones. The biggest place value is always on the left! You can also remember it as 100, 10, 1.

Q: Is there a quick way to check my answer?

Yes! Break your answer back down: 465 has 4 in hundreds place (4 hundreds ✓), 6 in tens place (6 tens ✓), and 5 in ones place (5 ones ✓).

Place Value Construction with Three-Digit Numbers

Number of ones: 5

Number of tens: 6

Number of hundreds: 4

Determine the correct number according to the above place values:

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Step-by-step video solution

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00:00 Find the number

00:03 Place the digits in the appropriate position according to the given data

00:06 And this is the solution to the question

Step-by-step written solution

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Understand the problem

Number of ones: 5

Number of tens: 6

Number of hundreds: 4

Determine the correct number according to the above place values:

Step-by-step solution

To solve this problem, we need to apply the place value system to construct the number correctly:

Step 1: Calculate the contribution of the hundreds place.
Given: 4 hundreds, which contributes $4 \times 100 = 400$ .
Step 2: Calculate the contribution of the tens place.
Given: 6 tens, which contributes $6 \times 10 = 60$ .
Step 3: Calculate the contribution of the ones place.
Given: 5 ones, which contributes $5 \times 1 = 5$ .
Step 4: Sum up all the contributions to find the required number:
$400 + 60 + 5 = 465$

Therefore, the number formed according to the given place values is $465$ .

Final Answer

465

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Each digit's position determines its value contribution
Technique: Calculate 4×100 + 6×10 + 5×1 = 465
Check: Count digits left to right: hundreds, tens, ones = 4, 6, 5 ✓

Common Mistakes

Avoid these frequent errors

Writing digits in the wrong order
Don't just write 4, 6, 5 as 456 without considering place value! This puts the wrong digit in each position. Always multiply each digit by its place value (100s, 10s, 1s) then add the results.

Practice Quiz

Test your knowledge with interactive questions

Determine the number of tenths in the following number:

1.3

FAQ

Everything you need to know about this question

Why can't I just write the digits 4, 6, 5 in order?

Because place value matters! The problem tells you how many of each place value, not the order of digits. 4 hundreds means the 4 goes in the hundreds place, making it 465, not 456.

What if I get confused about which digit goes where?

Use the multiplication method: 4 hundreds = 4×100 = 400, 6 tens = 6×10 = 60, 5 ones = 5×1 = 5. Then add: 400 + 60 + 5 = 465.

How do I remember the order of place values?

Think left to right: hundreds, tens, ones. The biggest place value is always on the left! You can also remember it as 100, 10, 1.

What if there were 0 in one of the place values?

Zero still takes up that place! For example, 3 hundreds, 0 tens, 7 ones = 307. The zero holds the tens place so the 7 stays in the ones place.

Is there a quick way to check my answer?

Yes! Break your answer back down: 465 has 4 in hundreds place (4 hundreds ✓), 6 in tens place (6 tens ✓), and 5 in ones place (5 ones ✓).

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