Solve Vertical Addition: 921 + 79 Step-by-Step

Question

amp;921+amp;amp;  79amp;776amp; \begin{aligned} &921 \\ +& \\ &~~79 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:02 Each time consider combining 2 digits, and then place
00:05 Let's start by multiplying ones with ones
00:08 Place the ones, add 1 to tens
00:12 Multiply tens with tens, remember to add 1 to the calculation
00:18 Place tens in tens, add 1 to hundreds
00:21 Place 0 in the missing digits
00:24 Multiply hundreds with hundreds, remember to add 1
00:27 Place the hundreds in hundreds, add 1 to thousands
00:30 Place 0 in the missing digits
00:33 Multiply thousands with thousands, and place in thousands
00:36 And this is the solution to the question

Step-by-Step Solution

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

  • Step 1: Align the numbers vertically by place value.
  • Step 2: Add digits in each column starting from the right (units) to the left (hundreds), carrying over if necessary.
  • Step 3: Write the final sum at the bottom.

Let's work through the solution:

Step 1: We have the numbers aligned as:

921+  79 \begin{aligned} &921 \\ +& \\ &~~79 \\ \end{aligned}

Step 2: Start adding from the units column:

  • Units: 1+9=101 + 9 = 10. Write 0 and carry over 1 to the tens column.
  • Tens: 2+7+1 (carry over)=102 + 7 + 1 \text{ (carry over)} = 10. Write 0 and carry over 1 to the hundreds column.
  • Hundreds: 9+1 (carry over)=109 + 1 \text{ (carry over)} = 10. Write 0 and carry over 1 to a new thousands column.
  • Thousands: No additional digits to add, so just write 1.

Step 3: Combine the results to obtain the final sum:

The sum is 10001000.

Therefore, the solution to the problem is 1000 1000 .

Answer

1000