Place Value Challenge: Converting 9 Hundreds, 3 Tens, 6 Ones to Standard Form

Place Value Assembly with Three-Digit Numbers

Number of ones: 6

Number of tens: 3

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
00:09 Let's find the missing number.
00:12 Place each digit in the right position, based on the information given.
00:17 And there you go, that's how we solve the question!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Number of ones: 6

Number of tens: 3

Number of hundreds: 9

Determine the correct number according to the above place values:

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Understand place values: Hundreds, Tens, and Ones.
  • Step 2: Assign given numbers to the respective place values.
  • Step 3: Construct the number using the assigned values.

Let's break it down:

Step 1: Recognize the place values:

  • Hundreds place: Any digit here is multiplied by 100.
  • Tens place: Any digit here is multiplied by 10.
  • Ones place: Any digit here is multiplied by 1.

Step 2: Assign the numbers:

  • The number of ones is given as 6. This means the ones place is 6.
  • The number of tens is 3. This means the tens place is 3.
  • The number of hundreds is 9. This means the hundreds place is 9.

Step 3: Construct the number:

Using the place values, compile the number as follows:

  • The hundreds place contributes 9×100=9009 \times 100 = 900.
  • The tens place contributes 3×10=303 \times 10 = 30.
  • The ones place contributes 6×1=66 \times 1 = 6.

Adding these values together gives:

900+30+6=936 900 + 30 + 6 = 936

Thus, the correct number according to the place values provided is 936 936 .

Comparing with the choices provided, the correct choice is Choice 4: 936 936 .

3

Final Answer

936

Key Points to Remember

Essential concepts to master this topic
  • Place Value Order: Hundreds-Tens-Ones from left to right
  • Calculation Method: 9×100+3×10+6×1=936 9 \times 100 + 3 \times 10 + 6 \times 1 = 936
  • Check: Count digits from right: 6 ones, 3 tens, 9 hundreds ✓

Common Mistakes

Avoid these frequent errors
  • Writing digits in the wrong order
    Don't write 369 by reading left to right from the given values! This puts 9 in the ones place instead of hundreds. Always remember place value positions: hundreds-tens-ones from left to right in the final number.

Practice Quiz

Test your knowledge with interactive questions

Which figure represents 0.1?

FAQ

Everything you need to know about this question

Why isn't the answer 936 written as 963?

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The place value position matters! 9 hundreds means 9 goes in the hundreds place (leftmost), not that we write 9 first. Think of it like building: 9 in hundreds place, 3 in tens place, 6 in ones place.

How do I remember which place is which?

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Use the phrase 'Hundreds, Tens, Ones' from left to right. You can also think of it as big to small: the biggest values go on the left, smallest on the right.

What if I get confused about the order?

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Try this trick: multiply each digit by its place value, then add them up. 9×100+3×10+6×1=900+30+6=936 9 \times 100 + 3 \times 10 + 6 \times 1 = 900 + 30 + 6 = 936 .

Can I check my answer another way?

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Yes! Read your final number digit by digit from right to left: 936 has 6 ones, 3 tens, and 9 hundreds. This should match what the problem gave you.

What happens if there are zeros in some places?

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If any place value is 0, you still write it! For example, 5 hundreds, 0 tens, 2 ones becomes 502, not 52. The zero holds the place.

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