Solve Three-Digit Addition: 685 + 315 in Vertical Format

Question

amp;685+amp;amp;315amp;776amp; \begin{aligned} &685 \\ +& \\ &315 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time combine 2 digits, and then place
00:06 Let's start by adding units with units
00:09 Place the units, add 1 to tens
00:12 Add tens with tens, remember to add 1 to the calculation
00:16 Place tens in tens, add 1 to hundreds
00:20 Add hundreds with hundreds, remember to add 1
00:24 Place hundreds in hundreds, and add 1 to thousands
00:28 Place 0 in the missing digits
00:32 Add thousands with thousands, remember to add 1
00:35 Place in thousands
00:38 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Add the units column
  • Step 2: Add the tens column, including any carry from the units
  • Step 3: Add the hundreds column, including any carry from the tens

Now, let's work through each step:

Step 1: Add the units column.

The units are 55 (from 685685) and 55 (from 315315).
5+5=105 + 5 = 10. Write 00 in the units place and carry over 11 to the tens place.

Step 2: Add the tens column, including any carry from the units.

The tens are 88 (from 685685) and 11 (from 315315), plus the 11 carried over.
8+1+1=108 + 1 + 1 = 10. Write 00 in the tens place and carry over 11 to the hundreds place.

Step 3: Add the hundreds column, including any carry from the tens.

The hundreds are 66 (from 685685) and 33 (from 315315), plus the 11 carried over.
6+3+1=106 + 3 + 1 = 10. Write 00 in the hundreds place and 11 in the thousands place.

Therefore, the solution to the problem is 10001000.

Answer

1000