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

00:00 Solve
00:03 Each time we consider combining 2 digits, and then we place
00:06 Let's start by combining ones with ones
00:09 We'll place the ones in ones, and add 1 to tens
00:17 Let's combine tens with tens
00:23 We'll place tens in tens, and add 1 to hundreds
00:26 Let's combine hundreds with hundreds
00:33 We'll place hundreds in hundreds, and add 1 to thousands
00:37 Let's combine thousands with thousands, remember to add 1 to the calculation
00:42 We'll place in thousands
00:48 Let's combine tens of thousands with tens of thousands, and place
00:53 And this is the solution to the question

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