Solve Vertical Addition: 999 + 185 Step-by-Step

Vertical Addition with Three-Digit Carrying

999+185776 \begin{aligned} &999 \\ +& \\ &185 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Each time consider combining 2 digits, and then place
00:06 Start by combining ones with ones
00:09 Place the ones, add 1 to the tens
00:14 Combine tens with tens, remember to add 1 to the calculation
00:19 Place tens in tens, add 1 to hundreds
00:22 Combine hundreds with hundreds, remember to add 1
00:26 Place hundreds in hundreds, and add 1 to thousands
00:30 Place 0 in the missing digits
00:35 Combine thousands with thousands, remember to add 1
00:38 Place in thousands
00:41 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

999+185776 \begin{aligned} &999 \\ +& \\ &185 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem, we'll perform vertical addition. Here are the steps:

  • Step 1: Write the numbers 999 and 185 vertically, aligning them by the rightmost digit.
  • Step 2: Begin adding from the rightmost column.

Let's start with the units column:

  • The unit digits are 9 (from 999) and 5 (from 185).
  • Add them: 9+5=149 + 5 = 14.
  • Write down 4 and carry over 1 to the next column (tens place).

Next, the tens column:

  • The tens digits are 9 (from 999) and 8 (from 185), plus the carry-over value 1.
  • Add them: 9+8+1=189 + 8 + 1 = 18.
  • Write down 8 and carry over 1 to the next column (hundreds place).

Finally, the hundreds column:

  • The hundreds digits are 9 (from 999) and 1 (from 185), plus the carry-over value 1.
  • Add them: 9+1+1=119 + 1 + 1 = 11.
  • Write down 1 and carry over the 1 to form a new thousands column.

Since there's nothing else to add in the thousands column, write down the carry-over as 1.

Therefore, the sum of 999 and 185 is 1184 \mathbf{1184} .

3

Final Answer

1184

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up digits by place value (ones, tens, hundreds)
  • Technique: Add column by column: 9 + 5 = 14, write 4 carry 1
  • Check: Verify with horizontal addition: 999 + 185 = 1184 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry over values
    Don't ignore carrying when sums exceed 9 = wrong final answer! When 9 + 5 = 14, you must write 4 and carry 1, not just write 14. Always carry the tens digit to the next column.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &90 \\ +& \\ &~~9\\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

What does 'carry over' mean in addition?

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When adding digits gives you a number 10 or greater, you write the ones digit and carry the tens digit to the next column. For example, when 9 + 5 = 14, write 4 and carry 1.

Why do I start adding from the right side?

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You start from the ones place (rightmost) because any carrying affects the next column to the left. This ensures you handle all carried values correctly as you move left.

What if I get confused about which numbers to add in each column?

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Look at each column vertically! In the tens column, you add the tens digit from each number plus any carried value. For 999 + 185: tens column = 9 + 8 + 1 (carried).

How can I check if my answer is correct?

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Try horizontal addition: 999 + 185. You can also add in a different order like 185 + 999. Both should give you 1184 1184 !

What happens when I need to carry multiple times?

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That's normal! In this problem, you carry from every column. Just remember to add the carried number to the next column's calculation.

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