Solve the Addition: 693 + 705 Three-Digit Sum Calculation

Three-Digit Addition with Carrying

Choose the correct answer:

693+705= ? 693+705=\text{ ?}

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Choose the correct answer:

693+705= ? 693+705=\text{ ?}

2

Step-by-step solution

Let's solve the problem by performing the addition step-by-step:

We are given the numbers 693 693 and 705 705 . Our goal is to add these two numbers together.

Step-by-step Addition:

  • Step 1: Align the numbers by place value:
    • 693 693
    • +  705 \, 705
    • ────────
  • Step 2: Add the units column (rightmost digits): 3+5=83 + 5 = 8.
  • Step 3: Add the tens column: 9+0=99 + 0 = 9.
  • Step 4: Add the hundreds column: 6+7=136 + 7 = 13. Since we have a two-digit result here, we place the 33 in the hundreds column and carry over the 11 to the next leftmost position, which would be the thousands column in this case

After carrying over the addition results, our final number will be:

  • 693 693
  • +  705 \, 705
  • ────────
  • 13981398

Therefore, the sum of 693 693 and 705 705 is 1398 1398 .

3

Final Answer

1398 1398

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Stack numbers vertically by place value columns
  • Technique: Add column by column from right to left: 3+5=8 3+5=8
  • Check: Verify by adding in reverse order: 705+693=1398 705+693=1398 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry over when column sum exceeds 9
    Don't just write down large sums like 13 in one column = wrong place values! When 6+7=13 6+7=13 , you get an impossible hundreds digit. Always carry the tens digit (1) to the next column and keep only the units digit (3).

Practice Quiz

Test your knowledge with interactive questions

Choose the correct answer:

\( 693+705=\text{ ?} \)

FAQ

Everything you need to know about this question

What does 'carrying' mean in addition?

+

Carrying means moving the tens digit to the next column when a sum is 10 or more. For example, when 6+7=13 6+7=13 , write down 3 and carry the 1 to the thousands place.

Why do I need to align the numbers vertically?

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Place value alignment is crucial! Units must line up with units, tens with tens, etc. If you don't align properly, you'll add wrong digits together and get the wrong answer.

Should I always start adding from the right side?

+

Yes! Always start with the units column (rightmost) because you might need to carry over to the next column. Adding left to right makes carrying much more complicated.

How can I check if my answer is correct?

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Try these methods:

  • Add the numbers in reverse order
  • Use estimation: 700+700=1400 700+700=1400 (close to 1398)
  • Add each column again carefully

What if there's no carrying needed?

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That's even easier! Just add each column normally. But always check each column to see if the sum is 10 or more, just in case you need to carry.

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