Solve Vertical Addition: 689 + 317 Step-by-Step

Question

amp;689+amp;amp;317amp;776amp; \begin{aligned} &689 \\ +& \\ &317 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time we consider connecting 2 digits, and then we'll place
00:06 Let's start by combining ones with ones
00:09 Place the ones, add 1 to the tens
00:12 Combine tens with tens, remember to add 1 to the calculation
00:17 Place tens in tens, add 1 to hundreds
00:21 Combine hundreds with hundreds, remember to add 1
00:25 Place hundreds in hundreds, and add 1 to thousands
00:31 Place 0 in the missing digits
00:34 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 Solution

To solve this problem, we will perform vertical addition starting from the rightmost digit:

  • Step 1: Add the units digits.
    9+7=169 + 7 = 16. Write down 66 and carry over 11 to the tens place.
  • Step 2: Add the tens digits.
    8+1=98 + 1 = 9, now add the carry 11, so 9+1=109 + 1 = 10. Write down 00 and carry over 11 to the hundreds place.
  • Step 3: Add the hundreds digits.
    6+3=96 + 3 = 9, now add the carry 11, so 9+1=109 + 1 = 10. Write down 00 in the hundreds place and write down 11 in the thousands place (since it's the final column, the carry becomes a leading digit).

Therefore, the sum of 689689 and 317317 is 1006\mathbf{1006}.

Answer

1006