Solve the Addition Equation: 8446 + 19

Addition Problems with Multi-Digit Numbers

Solve the equation:

8446+19= 8446+19=

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the equation:

8446+19= 8446+19=

2

Step-by-step solution

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

  • Step 1: Identify the numbers to be added: 8446 and 19.
  • Step 2: Use direct addition:
    First, add 10 to 8446:
    8446 + 10 = 8456.
    Next, add the remaining 9:
    8456 + 9 = 8465.

Therefore, the solution to the problem is 8465 8465 .

3

Final Answer

8465 8465

Key Points to Remember

Essential concepts to master this topic
  • Rule: Add numbers by aligning place values correctly
  • Technique: Break down 19 as 10 + 9: 8446 + 10 = 8456, then 8456 + 9 = 8465
  • Check: Verify by adding in reverse order: 19 + 8446 = 8465 ✓

Common Mistakes

Avoid these frequent errors
  • Adding digits without considering place values
    Don't just add 6+9=15 and 4+1=5 separately = wrong answer like 8515! This ignores place value positions and creates incorrect results. Always align numbers by place value and add column by column from right to left.

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 should I break down 19 into 10 + 9?

+

Breaking down numbers makes addition easier and less error-prone! Adding 10 first gives you 8456, then adding 9 gives the final answer. This method helps you avoid mistakes with carrying.

Can I add these numbers in a different order?

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Yes! Addition is commutative, meaning 8446 + 19 = 19 + 8446. The order doesn't matter - you'll get the same answer either way.

What if I get confused with the place values?

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Write the numbers vertically with ones under ones, tens under tens, etc. This helps you see each column clearly:
8446
+ 19
------

How do I know if I need to carry when adding?

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Look at each column from right to left. If the sum in any column is 10 or greater, you need to carry 1 to the next column. In this problem, 6+9=15, so carry the 1.

Is there a faster way to check my answer?

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Use estimation! Round 8446 to 8450 and 19 to 20. Then 8450 + 20 = 8470. Your exact answer of 8465 should be close to this estimate.

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