Solve Vertical Addition: 2789 + 456 Step by Step

Question

amp;2789+amp;amp;  456amp;776amp; \begin{aligned} &2789 \\ +& \\ &~~456 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time consider combining 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 tens
00:12 Combine tens with tens, remember to add 1 to the calculation
00:19 Place tens in tens, add 1 to hundreds
00:23 Combine hundreds with hundreds, remember to add 1
00:29 Place hundreds in hundreds, and add 1 to thousands
00:33 Place 0 in the missing digits
00:37 Combine thousands with thousands, remember to add 1
00:41 Place in thousands
00:43 And this is the solution to the question

Step-by-Step Solution

To solve the addition of 2789+4562789 + 456, we'll proceed with vertical addition:

  • Step 1: Align the numbers by their digits:
    02789+04560000 \begin{array}{c} \phantom{0}2789 \\ +\phantom{0}456 \\ \underline{\phantom{0000}} \\ \end{array}
  • Step 2: Start adding from the rightmost column (ones place):
    9+6=159 + 6 = 15. Write down 55 and carry over 11 to the tens place.
  • Step 3: Add the tens place:
    8+5=138 + 5 = 13, and add the carry over 11, getting 1414. Write down 44 and carry over 11 to the hundreds place.
  • Step 4: Add the hundreds place:
    7+4=117 + 4 = 11, and add the carry over 11, getting 1212. Write down 22 and carry over 11 to the thousands place.
  • Step 5: Add the thousands place:
    Since we only have 22 and a carry of 11, the result is 33.
  • Step 6: Compile the result across all columns:
    3245 3245

Therefore, the solution to the addition problem is 32453245.

Answer

3245