Solve the Vertical Addition: 289 + 1 Step by Step

Question

amp;289+amp;amp;    1amp;776amp; \begin{aligned} &289 \\ +& \\ &~~~~1 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time consider combining 2 digits, and then place
00:06 Let's start by combining ones with ones
00:12 Place the ones in ones, add 1 to tens
00:16 Place 0 in the missing digits
00:19 Add the tens, remember to add 1, and place in tens
00:28 Place 0 in the missing digits
00:31 Add the hundreds, and place in hundreds
00:34 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll use vertical addition:

  • Step 1: Align the numbers vertically so that the digits of each place value line up:
    289+1776 \begin{array}{c} 289 \\ +1 \\ \underline{\phantom{776}} \\ \end{array}
  • Step 2: Start adding from the rightmost column, the units place:
    9+1=109 + 1 = 10. Write 00 in the units place and carry over 11 to the tens place.
  • Step 3: Move to the tens column, add the tens digits and the carry-over 11:
    8+0+1=98 + 0 + 1 = 9. Place 99 in the tens place.
  • Step 4: Move to the hundreds column, add the remaining numbers:
    2+0=22 + 0 = 2. Place 22 in the hundreds place.

The total sum reflects in the alignment:

289+1776290 \begin{array}{c} 289 \\ +1 \\ \underline{\phantom{776}} \\ 290 \end{array}

Therefore, the solution to the problem is 290290.

Answer

290