Add Five-Digit Numbers: 81541 + 17759 Addition Problem

Question

amp;81541+amp;amp;17759amp;776amp; \begin{aligned} &81541\\ +& \\ &17759 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:08 Let's solve this step by step.
00:11 First, we combine each pair of digits.
00:15 Starting with the ones. Combine ones with ones.
00:19 Place the result in the ones column. If there's a carry over, add it to the tens.
00:25 Next, combine tens with tens.
00:31 Put the tens result in the tens place. Add any carry to the hundreds.
00:37 Now, combine hundreds with hundreds.
00:41 Place in the hundreds column and add any carry to the thousands.
00:46 Then, combine thousands with thousands. Include the carry.
00:52 Place the result in the thousands.
00:56 Finally, combine tens of thousands with tens of thousands.
01:01 And that's how we solve this problem!

Step-by-Step Solution

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

  • Step 1: Arrange the numbers vertically and align by the rightmost digit.
  • Step 2: Add digits starting from the right (units place) and move left.
  • Step 3: Carry over any value over 9 to the next set of digits.

Now, let's work through each step:

Step 1: Arrange the numbers:

+81541++17759 \begin{aligned} &\phantom{+}81541 \\ + &\phantom{+}17759 \\ \end{aligned}

Step 2: Add digits starting from the rightmost digit:

  1. Units place: 1+9=101 + 9 = 10. Write down 0 and carry over 1.
  2. Tens place: 4+5=94 + 5 = 9. Add the carried 1: 9+1=109 + 1 = 10. Write down 0 and carry over 1.
  3. Hundreds place: 5+7=125 + 7 = 12. Add the carried 1: 12+1=1312 + 1 = 13. Write down 3 and carry over 1.
  4. Thousands place: 1+7=81 + 7 = 8. Add the carried 1: 8+1=98 + 1 = 9. Write down 9.
  5. Ten-thousands place: 8+1=98 + 1 = 9. Write down 9.

The addition will look like this:

881541+817759899300 \begin{aligned} &\phantom{8}81541 \\ + &\phantom{8}17759 \\ \hline &\phantom{8}99300 \\ \end{aligned}

Therefore, the addition of these two numbers results in 9930099300.

Answer

99300