Place Value Chart: Building the Number 134 Using Hundreds, Tens, and Units

Q: Why can't I just add 1+3+4 to get 134?

Because place value matters! The digit 1 is in the hundreds place, so it represents 100, not just 1. You must consider where each digit sits in the number.

Q: How do I remember which place is which?

Start from the right: units (ones), tens, hundreds. Each place is 10 times bigger than the one to its right. Use the phrase 'Every place grows by 10!'

Q: What if I get confused about multiplying by place values?

Think of it like money! If you have 1 hundred-dollar bill, 3 ten-dollar bills, and 4 one-dollar bills, you have $ 100 + 30 + 4 = 134 $ dollars total.

Q: Do I always need to write out the multiplication?

For learning, yes! Writing 1×100, 3×10, 4×1 helps you understand place value. Later, you can do this mentally, but the thinking process stays the same.

Q: What happens with larger numbers like 1,234?

Same rule! Break it down: 1×1000 + 2×100 + 3×10 + 4×1. Each new place to the left is 10 times bigger than the previous one.

Place Value Decomposition with Three-Digit Numbers

Choose the addition exercise using hundreds + tens + units that results in 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

Choose the addition exercise using hundreds + tens + units that results in the number shown below:

Step-by-step solution

To solve this problem, we'll carefully consider the place values in the number 134:

Step 1: Break down the number into its place values.
- The number $134$ has hundreds, tens, and units places as follows: - Hundreds: $1 \times 100 = 100$ - Tens: $3 \times 10 = 30$ - Units: $4 \times 1 = 4$
Step 2: Verify which given choice corresponds to this breakdown:

Upon examining the options:

Choice 1: $1+3+4=134$ Incorrect, as this does not consider place values.
Choice 2: $10+30+4=134$ Incorrect breakdown of the hundreds place.
Choice 3: $100+30+4=134$ This correctly follows the breakdown of hundreds, tens, and units.
Choice 4: $100+3+4=134$ Incorrect breakdown of the tens place.

Therefore, the solution to the problem is the option that aligns with the place value breakdown: $100+30+4=134$ .

Final Answer

$100+30+4=134$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Each digit represents value × its position power
Technique: Break 134 into 1×100 + 3×10 + 4×1 = 100+30+4
Check: Add expanded values: 100 + 30 + 4 = 134 ✓

Common Mistakes

Avoid these frequent errors

Adding digits without considering place values
Don't just add 1+3+4=8 thinking it equals 134! This ignores that each digit has a different place value. Always multiply each digit by its place value: hundreds (×100), tens (×10), units (×1).

Practice Quiz

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FAQ

Everything you need to know about this question

Why can't I just add 1+3+4 to get 134?

Because place value matters! The digit 1 is in the hundreds place, so it represents 100, not just 1. You must consider where each digit sits in the number.

How do I remember which place is which?

Start from the right: units (ones), tens, hundreds. Each place is 10 times bigger than the one to its right. Use the phrase 'Every place grows by 10!'

What if I get confused about multiplying by place values?

Think of it like money! If you have 1 hundred-dollar bill, 3 ten-dollar bills, and 4 one-dollar bills, you have $100 + 30 + 4 = 134$ dollars total.

Do I always need to write out the multiplication?

For learning, yes! Writing 1×100, 3×10, 4×1 helps you understand place value. Later, you can do this mentally, but the thinking process stays the same.

What happens with larger numbers like 1,234?

Same rule! Break it down: 1×1000 + 2×100 + 3×10 + 4×1. Each new place to the left is 10 times bigger than the previous one.

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