Place Value Exercise: Writing 437 as Hundreds + Tens + Units

Q: What does it mean when a place value is empty?

An empty place value means there's no digit there, so it contributes zero to the total. In 407, the tens place is empty, so we have 0 tens.

Q: Why isn't the answer 40 + 7?

Because the 4 is in the hundreds place, not the tens place! Look at the column headers - the 4 sits under 'Hundreds', making it worth 400, not 40.

Q: Do I always need to write the zero?

In the final addition, you can skip writing $ +0 $ since it doesn't change the sum. So 400 + 7 is the simplified form of 400 + 0 + 7.

Q: How do I know which place value each digit belongs to?

Read the column headers in the diagram! Each digit sits directly under its place value label: Hundreds, Tens, or Units.

Place Value Representation with Missing Tens Place

Write an addition exercise in the format of hundreds + tens + units to make the number shown below:

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write an addition exercise in the format of hundreds + tens + units to make the number shown below:

Step-by-step solution

To solve the problem of representing the number using hundreds, tens, and units, follow these steps:

Step 1: Identify the digit in the Hundreds place.

The hundreds digit is 4, which represents $4 \times 100 = 400$ .

Step 2: Identify the digit in the Tens place.

There is no digit shown for the tens place, which means it is 0, representing $0 \times 10 = 0$ .

Step 3: Identify the digit in the Units place.

The units digit is 7, which represents $7 \times 1 = 7$ .

Adding these together, we have:

$400 + 0 + 7 = 407$ .

Therefore, the number 407 can be represented as the sum $400 + 7$ , since the tens place contributes nothing.

The correct choice that matches this representation is:

$400+7=407$

Final Answer

$400+7=407$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Each position represents a power of ten value
Technique: 4 in hundreds = 400, 0 in tens = 0, 7 in units = 7
Check: Verify sum equals original: 400 + 0 + 7 = 407 ✓

Common Mistakes

Avoid these frequent errors

Including tens place when it's empty
Don't add 30 or 70 when there's no digit in tens place = wrong total like 470! The empty tens place means zero contribution. Always recognize that missing digits represent zero in that place value.

Practice Quiz

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FAQ

Everything you need to know about this question

What does it mean when a place value is empty?

An empty place value means there's no digit there, so it contributes zero to the total. In 407, the tens place is empty, so we have 0 tens.

Why isn't the answer 40 + 7?

Because the 4 is in the hundreds place, not the tens place! Look at the column headers - the 4 sits under 'Hundreds', making it worth 400, not 40.

Do I always need to write the zero?

In the final addition, you can skip writing $+0$ since it doesn't change the sum. So 400 + 7 is the simplified form of 400 + 0 + 7.

How do I know which place value each digit belongs to?

Read the column headers in the diagram! Each digit sits directly under its place value label: Hundreds, Tens, or Units.

What if there were digits in all three places?

Then you'd add all three values! For example, if you had 4 in hundreds, 3 in tens, and 7 in units, it would be $400 + 30 + 7 = 437$ .

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