Place Value Chart: Writing 200 in Hundreds, Tens, and Ones

Q: Why does 200 have zeros in the tens and ones places?

Because 200 means exactly 2 hundreds with no extra tens or ones. The zeros show that these place values are empty - there are no additional tens or ones beyond the 2 hundreds.

Q: How do I know which digit goes in which column?

Start from the rightmost position (ones) and work left. For 200: the rightmost 0 goes in ones, middle 0 in tens, and leftmost 2 in hundreds.

Q: What if I mix up the order of the columns?

Remember the pattern: Hundreds, Tens, Ones from left to right. You can also think of it as largest to smallest place values.

Q: Can I double-check my place value chart?

Yes! Multiply each digit by its place value: $ 2 \times 100 + 0 \times 10 + 0 \times 1 = 200 $. If you get the original number, you're correct!

Q: Why is place value important to understand?

Place value is the foundation of our number system! It helps you understand larger numbers, decimals, and arithmetic operations like addition and subtraction.

Place Value Representation with Three-Digit Numbers

Write the number two hundred in the decimal place value chart below:

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Step-by-step written solution

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Understand the problem

Write the number two hundred in the decimal place value chart below:

Step-by-step solution

The goal is to illustrate the place value of the number two hundred in a chart with Hundreds, Tens, and Ones columns.

We need to identify the place values of the digits in the number 200:
The digit 2 is in the Hundreds place because 200 is made up of two hundred units.
The digit 0 is in the Tens place, meaning there are no tens in 200.
The digit 0 is in the Ones place, indicating there are no ones.

By assigning the digits according to their place values, we fill in the chart as follows:

Hundreds column: 2
Tens column: 0
Ones column: 0

Thus, the number two hundred in decimal notation is represented as $2, 0, 0$ in the place value chart.

Checking the multiple-choice options, option 1 corresponds to our determined configuration, confirming it is the correct choice.

Thus, the number two hundred is represented in decimal place value notation as $\mathbf{2, 0, 0}$ .

Final Answer

$2,0,0$

Key Points to Remember

Essential concepts to master this topic

Rule: Each digit position represents a specific place value power
Technique: 200 = 2 hundreds + 0 tens + 0 ones
Check: Verify by calculating: 2×100 + 0×10 + 0×1 = 200 ✓

Common Mistakes

Avoid these frequent errors

Placing digits in wrong columns based on visual order
Don't write 200 as (0,0,2) by reading left to right = places the 2 in ones instead of hundreds! This shows 2 ones, not 200. Always identify which digit represents hundreds, tens, and ones based on the number's value, not its written position.

Practice Quiz

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What number do the blue squares below represent?

FAQ

Everything you need to know about this question

Why does 200 have zeros in the tens and ones places?

Because 200 means exactly 2 hundreds with no extra tens or ones. The zeros show that these place values are empty - there are no additional tens or ones beyond the 2 hundreds.

How do I know which digit goes in which column?

Start from the rightmost position (ones) and work left. For 200: the rightmost 0 goes in ones, middle 0 in tens, and leftmost 2 in hundreds.

What if I mix up the order of the columns?

Remember the pattern: Hundreds, Tens, Ones from left to right. You can also think of it as largest to smallest place values.

Can I double-check my place value chart?

Yes! Multiply each digit by its place value: $2 \times 100 + 0 \times 10 + 0 \times 1 = 200$ . If you get the original number, you're correct!

Why is place value important to understand?

Place value is the foundation of our number system! It helps you understand larger numbers, decimals, and arithmetic operations like addition and subtraction.

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