Place Value Chart: Finding Components of 813 Using Hundreds, Tens, and Units

Q: Why can't I just add the digits 8+1+3?

Because place value matters! The 8 is in the hundreds place, so it represents 800, not just 8. Each position has a different value: hundreds = ×100, tens = ×10, units = ×1.

Q: How do I remember which digit goes where?

Think from left to right: H-T-U (Hundreds-Tens-Units). The leftmost digit is always hundreds, middle is tens, rightmost is units.

Q: What if there's a zero in one of the places?

Zero means no value in that place! For example, in 805, the tens place is 0×10 = 0, so you get 800+0+5 = 805.

Q: Can I write the addition in a different order?

Yes! Addition is commutative, so 800+10+3, 10+800+3, or 3+10+800 all equal 813. But it's clearest to write largest to smallest.

Place Value Decomposition with Three-Digit Numbers

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

Step-by-step solution

To solve this problem, we need to convert the number expressed through its individual digits for hundreds, tens, and units into its complete form by following these steps:

Step 1: Identify the digits provided in the table: Hundreds $H = 8$ , Tens $T = 1$ , Units $U = 3$ .
Step 2: Recall the formula for constructing a number from its digit places: $H \times 100 + T \times 10 + U$ .
Step 3: Plug these values into the formula:
$8 \times 100 = 800$
$1 \times 10 = 10$
$3 \times 1 = 3$ .
Step 4: Add these values together to find the number:
$800 + 10 + 3\ = 813$ .

Therefore, the addition exercise that results in 813 is $800 + 10 + 3 = 813$ .

Final Answer

$800+10+3=813$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Each digit's position determines its value multiplier
Technique: Multiply 8×100, 1×10, 3×1 to get 800+10+3
Check: Add components back together: 800+10+3=813 ✓

Common Mistakes

Avoid these frequent errors

Confusing digit position with digit value
Don't write 8+1+3=12 using just the digits! This ignores place value completely and gives a wrong tiny answer. 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 8+1+3?

Because place value matters! The 8 is in the hundreds place, so it represents 800, not just 8. Each position has a different value: hundreds = ×100, tens = ×10, units = ×1.

How do I remember which digit goes where?

Think from left to right: H-T-U (Hundreds-Tens-Units). The leftmost digit is always hundreds, middle is tens, rightmost is units.

What if there's a zero in one of the places?

Zero means no value in that place! For example, in 805, the tens place is 0×10 = 0, so you get 800+0+5 = 805.

Can I write the addition in a different order?

Yes! Addition is commutative, so 800+10+3, 10+800+3, or 3+10+800 all equal 813. But it's clearest to write largest to smallest.

How do I check if my answer is right?

Add up your place value components: if 800+10+3 = 813, and 813 matches the original number in the chart, you're correct! Always verify your addition.

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