Write Place Value Addition: Creating 781 Using Hundreds, Tens, and Units

Q: Why can't I just add the digits 7 + 8 + 1?

Because each digit has a different place value! The 7 is in the hundreds place (worth 700), the 8 is in the tens place (worth 80), and only the 1 is worth its face value.

Q: How do I know which digit goes with which place value?

Read from right to left: the rightmost digit is always units (ones), the middle digit is tens, and the leftmost digit is hundreds in a 3-digit number.

Q: What if I see a zero in one of the places?

A zero means that place value contributes nothing to the sum. For example, in 705, you'd write $ 700 + 0 + 5 = 705 $ or simply $ 700 + 5 = 705 $.

Q: Do I always need to show the addition equation?

Yes! Writing $ 700 + 80 + 1 = 781 $ shows you understand place value. It proves you know the 7 represents 700, not just 7.

Q: How can I remember the place values?

Think H-T-U (Hundreds-Tens-Units) from left to right. Or remember: hundreds are worth 100 times their digit, tens are worth 10 times their digit.

Place Value Decomposition with Three-Digit Numbers

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 express the number as an addition exercise of hundreds, tens, and units, follow these steps:

Identify the hundreds digit, which is $7$ . This gives us $700$ .
Identify the tens digit, which is $8$ . This gives us $80$ .
Identify the units digit, which is $1$ . This gives us $1$ .

Combine these place values into a sum: $700 + 80 + 1$ .

Thus, the number can be written as $700 + 80 + 1 = 781$ .

The correct multiple-choice answer, based on this decomposition, is choice 1: $700+80+1=781$ .

Final Answer

$700+80+1=781$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Each digit represents its value times its position power
Technique: Convert 7 in hundreds place to $7 \times 100 = 700$
Check: Add all place values: $700 + 80 + 1 = 781$ matches original ✓

Common Mistakes

Avoid these frequent errors

Using digits without place value conversion
Don't write $7 + 8 + 1 = 16$ ! This ignores place values and gives a completely wrong sum. Always multiply each digit by its place value: hundreds digit × 100, tens digit × 10, units digit × 1.

Practice Quiz

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FAQ

Everything you need to know about this question

Why can't I just add the digits 7 + 8 + 1?

Because each digit has a different place value! The 7 is in the hundreds place (worth 700), the 8 is in the tens place (worth 80), and only the 1 is worth its face value.

How do I know which digit goes with which place value?

Read from right to left: the rightmost digit is always units (ones), the middle digit is tens, and the leftmost digit is hundreds in a 3-digit number.

What if I see a zero in one of the places?

A zero means that place value contributes nothing to the sum. For example, in 705, you'd write $700 + 0 + 5 = 705$ or simply $700 + 5 = 705$ .

Do I always need to show the addition equation?

Yes! Writing $700 + 80 + 1 = 781$ shows you understand place value. It proves you know the 7 represents 700, not just 7.

How can I remember the place values?

Think H-T-U (Hundreds-Tens-Units) from left to right. Or remember: hundreds are worth 100 times their digit, tens are worth 10 times their digit.

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