Place Value Exercise: Write 987 as Hundreds + Tens + Units

Q: Why can't I just add the digits 9+8+7?

Because each digit has a different place value! The 9 is in the hundreds place (worth 900), the 8 is in the tens place (worth 80), and the 7 is in the units place (worth 7). You must account for these different values.

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

Read from right to left: the rightmost digit is units (ones), the middle digit is tens, and the leftmost digit is hundreds. So in 987, the 7 is units, 8 is tens, and 9 is hundreds.

Q: What does it mean to multiply by place value?

Place value tells you how much each position is worth:Units place: multiply by 1Tens place: multiply by 10Hundreds place: multiply by 100

Q: Is there a pattern to place values?

Yes! Each place value is 10 times larger than the place to its right. So hundreds (100) is 10 times tens (10), and tens (10) is 10 times units (1).

Q: How can I check if my decomposition is correct?

Add up all your place value parts! If $ 900 + 80 + 7 = 987 $, then your decomposition matches the original number and you're correct.

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 construct the number from the given digits, we'll express the number in terms of its place values: hundreds, tens, and units.

Step 1: The hundreds digit is 9, so its value is $9 \times 100 = 900$ .
Step 2: The tens digit is 8, so its value is $8 \times 10 = 80$ .
Step 3: The units digit is 7, so its value is $7 \times 1 = 7$ .

Step 4: Add these values together: $900 + 80 + 7 = 987$ .

Therefore, the addition exercise in hundreds, tens, and units that results in the number 987 is $900 + 80 + 7 = 987$ .

Final Answer

$900+80+7=987$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Each digit's value equals digit times its place value
Technique: Multiply by position: 9×100=900, 8×10=80, 7×1=7
Check: Add decomposed values: 900+80+7=987 matches original number ✓

Common Mistakes

Avoid these frequent errors

Adding digits without considering place value
Don't just add 9+8+7=24! This ignores place values and gives completely wrong results. The 9 represents 900 (nine hundreds), not just 9 units. Always multiply each digit by its place value first.

Practice Quiz

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What number do the blue squares below represent?

FAQ

Everything you need to know about this question

Why can't I just add the digits 9+8+7?

Because each digit has a different place value! The 9 is in the hundreds place (worth 900), the 8 is in the tens place (worth 80), and the 7 is in the units place (worth 7). You must account for these different values.

How do I know which digit goes in which place?

Read from right to left: the rightmost digit is units (ones), the middle digit is tens, and the leftmost digit is hundreds. So in 987, the 7 is units, 8 is tens, and 9 is hundreds.

What does it mean to multiply by place value?

Place value tells you how much each position is worth:

Units place: multiply by 1
Tens place: multiply by 10
Hundreds place: multiply by 100

Is there a pattern to place values?

Yes! Each place value is 10 times larger than the place to its right. So hundreds (100) is 10 times tens (10), and tens (10) is 10 times units (1).

How can I check if my decomposition is correct?

Add up all your place value parts! If $900 + 80 + 7 = 987$ , then your decomposition matches the original number and you're correct.

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