Place Value Problem: Construct Number from 9 Hundreds, 5 Tens, and 6 Ones

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

Place value has fixed positions! The hundreds digit must go in the leftmost spot, tens in the middle, and ones on the right. The order they're mentioned doesn't matter - only their place value positions do.

Q: How do I remember which digit goes where?

Think of it like addresses: hundreds live on the left, tens in the middle, ones on the right. No matter what order someone tells you the house numbers, each goes to its correct street!

Q: What if there are 0 tens or 0 hundreds?

You still need to show the placeholder zero! For example, 7 hundreds, 0 tens, 3 ones becomes 703. The zero holds the tens place so 7 stays in hundreds position.

Q: Why is 965 wrong if it has the same digits?

Because place value matters more than having the right digits! 965 means 9 hundreds, 6 tens, 5 ones - but we need 9 hundreds, 5 tens, 6 ones. Same digits, wrong positions!

Place Value Construction with Three-Digit Numbers

Number of ones: 6

Number of tens: 5

Number of hundreds: 9

Determine the correct number according to the above place values:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

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

Follow each step carefully to understand the complete solution

Understand the problem

Number of ones: 6

Number of tens: 5

Number of hundreds: 9

Determine the correct number according to the above place values:

Step-by-step solution

To solve this problem, we need to apply an understanding of place values in constructing a number. Let's go through the steps:

Step 1: Identify the hundreds digit. According to the problem, there are 9 hundreds.
Step 2: Identify the tens digit. The problem states there are 5 tens.
Step 3: Identify the ones digit. The problem indicates there are 6 ones.
Step 4: Assemble the number. The hundreds digit (9) is placed at the leftmost position, followed by the tens digit (5), and finally the ones digit (6) in the rightmost position.

Assembling these digits gives us the number 956, which matches the option identified as correct in the multiple-choice list.

Therefore, the solution to the problem is $956$ .

Final Answer

956

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Hundreds go left, tens middle, ones right position
Construction Technique: Arrange digits 9-5-6 as 956 following place positions
Verification Check: Count each place value: 9 hundreds + 5 tens + 6 ones = 956 ✓

Common Mistakes

Avoid these frequent errors

Writing digits in the order given instead of place value positions
Don't write 9 hundreds, 5 tens, 6 ones as 956 by just listing them = wrong number formation! This ignores that place value determines digit position, not the order mentioned. Always place hundreds digit leftmost, tens in middle, ones rightmost regardless of given order.

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 numbers in the order they're given?

Place value has fixed positions! The hundreds digit must go in the leftmost spot, tens in the middle, and ones on the right. The order they're mentioned doesn't matter - only their place value positions do.

How do I remember which digit goes where?

Think of it like addresses: hundreds live on the left, tens in the middle, ones on the right. No matter what order someone tells you the house numbers, each goes to its correct street!

What if there are 0 tens or 0 hundreds?

You still need to show the placeholder zero! For example, 7 hundreds, 0 tens, 3 ones becomes 703. The zero holds the tens place so 7 stays in hundreds position.

Can I check my answer by breaking it down again?

Absolutely! Take your final number like 956 and count:

9 is in hundreds place = 9 hundreds ✓
5 is in tens place = 5 tens ✓
6 is in ones place = 6 ones ✓

Why is 965 wrong if it has the same digits?

Because place value matters more than having the right digits! 965 means 9 hundreds, 6 tens, 5 ones - but we need 9 hundreds, 5 tens, 6 ones. Same digits, wrong positions!

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