Place Value Exercise: Write 423 as Hundreds + Tens + Units

Place Value Decomposition with Three-Digit Numbers

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

UnitsTensHundreds423

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Step-by-step written solution

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1

Understand the problem

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

UnitsTensHundreds423

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the number given, which is 423.
  • Step 2: Break down the number into its hundreds, tens, and units components.
  • Step 3: Verify the sum equals the original number.

Now, let's work through each step to solve the problem:

Step 1: The number provided is 423.

Step 2: Break down the number into hundreds, tens, and units:

  • The hundreds place is occupied by the digit 4, meaning 4×100=400 4 \times 100 = 400 .
  • The tens place is occupied by the digit 2, meaning 2×10=20 2 \times 10 = 20 .
  • The units place is occupied by the digit 3, meaning 3×1=3 3 \times 1 = 3 .

Step 3: Verify the result by calculating the sum 400+20+3=423 400 + 20 + 3 = 423 .

Therefore, the correct addition exercise to make the number 423 is 400+20+3=423 400 + 20 + 3 = 423 .

Examining the multiple-choice options, the correct one is option 2: 400+20+3=423 400 + 20 + 3 = 423 .

3

Final Answer

400+20+3=423 400+20+3=423

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Each digit's position determines its value in the number
  • Technique: Hundreds digit × 100, tens digit × 10, units digit × 1
  • Check: Add all parts together: 400 + 20 + 3 = 423 ✓

Common Mistakes

Avoid these frequent errors
  • Misreading place value positions
    Don't write 4 in hundreds as just 4 instead of 400 = wrong total! The digit's position changes its actual value completely. Always multiply each digit by its place value: hundreds × 100, tens × 10, units × 1.

Practice Quiz

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What number do the blue squares below represent?

FAQ

Everything you need to know about this question

Why do I need to write 400 instead of just 4?

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Because the digit 4 is in the hundreds place, which means it represents 4 groups of 100. Writing just '4' would mean 4 ones, which is completely different!

What if I mix up the order of hundreds, tens, and units?

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Always remember: hundreds are biggest, units are smallest. From left to right in any number, it goes hundreds → tens → units. Practice reading place value charts to memorize this!

How do I know which digit goes in which place?

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Count from the right side of the number! The rightmost digit is always units, middle digit is tens, and leftmost digit is hundreds in a 3-digit number.

Can I write the addition in a different order?

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Yes! 20+400+3 20 + 400 + 3 or 3+20+400 3 + 20 + 400 all equal 423. Addition is commutative, meaning order doesn't change the sum.

What if one of the digits is zero?

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If there's a 0 in any place, that part equals 0. For example, in 403: 400+0+3=403 400 + 0 + 3 = 403 . The zero tens means no tens to add!

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