Solve 828 + 4985 Using Place Value Table Method

Q: Why do I need to use a place value table for this problem?

The place value table helps you organize digits correctly and track carrying systematically. It prevents confusion when adding larger numbers with different digit counts.

Q: What does 'carry over' actually mean?

When two digits add up to 10 or more, you write down the ones digit and 'carry' the tens digit to the next column on the left. For example, $ 8 + 5 = 13 $ means write 3 and carry 1.

Q: How do I handle carrying through multiple columns?

Work from right to left (ones to thousands). Add the carried amount to the next column's sum. In this problem: ones (carry 1) → tens (carry 1) → hundreds (carry 1) → thousands.

Q: What if I forget to carry a number?

Your final answer will be wrong! Always double-check each column to see if the sum is 10 or greater. Practice writing small carry numbers above each column.

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

Try these methods: Add in reverse order: 4985 + 828Use estimation: 800 + 5000 ≈ 5800 (close to 5813)Subtract to check: 5813 - 828 = 4985 ✓

Place Value Addition with Carrying Method

Solve the following equation using the table below:

$828+4985=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following equation using the table below:

$828+4985=$

Step-by-step solution

To solve this problem, we'll use addition with attention to place values:

Step 1: Add the ones digit - $8 + 5 = 13$ . Write down 3 and carry over 1.
Step 2: Add the tens digit - $2 + 8 = 10$ , plus carry 1 gives 11. Write down 1 and carry over 1.
Step 3: Add the hundreds digit - $8 + 9 = 17$ , plus carry 1 gives 18. Write down 8 and carry over 1.
Step 4: Add the thousands digit - $4 + 0 = 4$ , plus carry 1 gives 5.

Thus, the final result is written as 5813.

Therefore, the solution to the problem is $5813$ , which matches choice 4.

Final Answer

$5813$

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up digits by place value columns correctly
Carrying: When sum exceeds 9, write ones digit and carry tens
Check: Verify by adding in reverse order: 4985 + 828 = 5813 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when sums exceed 9
Don't write down 13 in the ones place when 8 + 5 = 13! This creates wrong place values and incorrect final answers. Always write the ones digit (3) and carry the tens digit (1) to the next column.

Practice Quiz

Test your knowledge with interactive questions

Choose the correct answer:

$693+705=\text{ ?}$

FAQ

Everything you need to know about this question

Why do I need to use a place value table for this problem?

The place value table helps you organize digits correctly and track carrying systematically. It prevents confusion when adding larger numbers with different digit counts.

What does 'carry over' actually mean?

When two digits add up to 10 or more, you write down the ones digit and 'carry' the tens digit to the next column on the left. For example, $8 + 5 = 13$ means write 3 and carry 1.

How do I handle carrying through multiple columns?

Work from right to left (ones to thousands). Add the carried amount to the next column's sum. In this problem: ones (carry 1) → tens (carry 1) → hundreds (carry 1) → thousands.

What if I forget to carry a number?

Your final answer will be wrong! Always double-check each column to see if the sum is 10 or greater. Practice writing small carry numbers above each column.

How can I check if my answer is correct?

Try these methods:

Add in reverse order: 4985 + 828
Use estimation: 800 + 5000 ≈ 5800 (close to 5813)
Subtract to check: 5813 - 828 = 4985 ✓

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