Add 945 and 45: Vertical Addition Practice

Question

amp;945+amp;amp;  45amp;776amp; \begin{aligned} &945 \\ +& \\ &~~45 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:02 Each time we consider joining 2 digits, and then we'll place
00:05 Let's start by combining ones with ones
00:08 We'll place the ones, add 1 to the tens
00:12 We'll combine tens with tens, remember to add 1 to the calculation
00:17 We'll place tens in tens, add 1 to hundreds
00:21 We'll place 0 in the missing digits
00:24 We'll combine hundreds with hundreds, remember to add 1
00:27 We'll place the hundreds in hundreds, add 1 to thousands
00:32 We'll place 0 in the missing digits
00:35 We'll combine thousands with thousands, and place in thousands
00:38 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we need to add 945 and 45 using vertical addition. We'll do this step by step:

Step 1: Write both numbers vertically, aligning them by place value:

945+45000 \begin{array}{c} 945 \\ +45 \\ \underline{\phantom{000}} \end{array}

Step 2: Start adding from the rightmost column (the units):

  • Add the units place: 5+5=105 + 5 = 10. Write 0 in the units place and carry over 1 to the next tens place.

1945+45000 \begin{array}{c} &1 \\ 945 \\ +45 \\ \underline{\phantom{00}0} \end{array}

Step 3: Move to the tens place and add, including the carryover:

  • Add tens place: 4+4+1=94 + 4 + 1 = 9. Write 9 in the tens place.

945+45090 \begin{array}{c} 945 \\ +45 \\ \underline{\phantom{0}90} \end{array}

Step 4: Finally, add the hundreds place:

  • Add hundreds place: Since there is no carryover, 9+0=99 + 0 = 9.

945+45990 \begin{array}{c} 945 \\ +45 \\ \underline{990} \end{array}

Therefore, the sum of 945 and 45 is 990 990 .

Answer

990