Place Value Table: Writing 406 in Hundreds, Tens, and Ones

Q: Why is there a 0 in the tens place for 406?

The zero holds the place to show there are no tens! Without it, 46 would be a different number entirely. Zero is important - it keeps each digit in its correct position.

Q: How do I remember which column is which?

Think of it like money: hundreds are like $100 bills (biggest), tens are like $10 bills (medium), and ones are like $1 bills (smallest). Always start from the left!

Q: Can I skip writing the zero?

Never skip the zero! In place value tables, every position must be filled. The zero shows that the tens place is empty, which is crucial information.

Q: How can I check if I filled the table correctly?

Add up the place values: $ 4 \times 100 + 0 \times 10 + 6 \times 1 = 400 + 0 + 6 = 406 $. If you get the original number, you're right!

Place Value Decomposition with Three-Digit Numbers

Write the number 406 in the decimal place value table below:

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Step-by-step written solution

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Understand the problem

Write the number 406 in the decimal place value table below:

Step-by-step solution

To correctly place the number 406 into the decimal place value table, follow these steps:

Step 1: Identify the hundreds digit. In the number 406, the hundreds digit is 4.
Step 2: Identify the tens digit. In 406, the tens digit is 0.
Step 3: Identify the ones digit. In 406, the ones digit is 6.

Thus, the number 406 can be decomposed as follows:
Hundreds place: 4
Tens place: 0
Ones place: 6

Therefore, the correct placement in the table is $4,0,6$ , which matches Choice 1.

Final Answer

$4,0,6$

Key Points to Remember

Essential concepts to master this topic

Rule: Read digits from left to right: hundreds, tens, ones
Technique: In 406, identify 4 (hundreds), 0 (tens), 6 (ones)
Check: Verify by adding: 400 + 0 + 6 = 406 ✓

Common Mistakes

Avoid these frequent errors

Reading digits in reverse order
Don't read 406 as 6 (hundreds), 0 (tens), 4 (ones) = wrong place value assignment! This confuses the actual value of each digit. Always read from left to right: hundreds first, then tens, then ones.

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FAQ

Everything you need to know about this question

Why is there a 0 in the tens place for 406?

The zero holds the place to show there are no tens! Without it, 46 would be a different number entirely. Zero is important - it keeps each digit in its correct position.

How do I remember which column is which?

Think of it like money: hundreds are like $100 bills (biggest), tens are like $10 bills (medium), and ones are like $1 bills (smallest). Always start from the left!

What if I mix up the order of the digits?

You'll get a completely different number! For example, writing $6,0,4$ gives you 604, not 406. Always double-check by reading left to right: hundreds, tens, ones.

Can I skip writing the zero?

Never skip the zero! In place value tables, every position must be filled. The zero shows that the tens place is empty, which is crucial information.

How can I check if I filled the table correctly?

Add up the place values: $4 \times 100 + 0 \times 10 + 6 \times 1 = 400 + 0 + 6 = 406$ . If you get the original number, you're right!

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