Addition Problem: Solve 545 + 45 Using Vertical Format

Question

amp;545+amp;amp;  45amp;776amp; \begin{aligned} &545 \\ +& \\ &~~45 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time consider combining 2 digits, and then place
00:06 Let's start by adding ones with ones
00:09 Place the ones, and add 1 to the tens
00:12 Add tens with tens, remember to add 1 to the calculation
00:15 Place in the tens position
00:19 Place 0 in the missing digits
00:22 Add hundreds with hundreds, place in hundreds position
00:25 And this is the solution to the question

Step-by-Step Solution

To solve the problem, we will perform vertical addition of the numbers 545 545 and 45 45 , as follows:

Step 1: Align the numbers correctly, placing the digits in each number in their appropriate columns:

1545+450999 \begin{array}{c} \phantom{1}545 \\ \phantom{+}45\phantom{0} \\ \underline{\phantom{999}} \end{array}

Step 2: Perform the addition column by column, starting from the rightmost column (the units place):

  • Units place: 5+5=10 5 + 5 = 10 . Write down 0 0 and carry over 1 1 to the tens column.
  • Tens place: 4+4=8 4 + 4 = 8 , plus the carry-over 1 1 gives 9 9 . Write 9 9 in the tens column.
  • Hundreds place: The only digit is 5 5 . So, write 5 5 in the hundreds column.

Step 3: Write down the complete sum:

1545+45099999590 \begin{array}{c} \phantom{1}545 \\ \phantom{+}45\phantom{0} \\ \underline{\phantom{999}} \\ \phantom{99}590 \end{array}

Therefore, the sum of 545 545 and 45 45 is 590 590 .

Answer

590