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

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00:00 Find the number
00:03 Place the digits in the appropriate position according to the given data,
00:07 and this is the solution to the question

Step-by-step written solution

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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

Determine the numerical value of the shaded area:

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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