Solve Vertical Addition: 456 + 4 Step-by-Step

Question

amp;456+amp;amp;    4amp;776amp; \begin{aligned} &456 \\ +& \\ &~~~~4 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:05 Let's solve this problem together!
00:08 We'll combine two digits at a time. Ready?
00:11 First, combine the ones places.
00:14 Place the sum in the ones column. Carry over one to the tens.
00:19 Put zero in any empty spots.
00:23 Now, combine the tens. Don't forget to add the one you carried over.
00:28 Place any zeros where needed.
00:30 Finally, combine the hundreds and place the result in the hundreds column.
00:37 Great job! That's how we solve this problem.

Step-by-Step Solution

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

  • Step 1: Align the numbers vertically based on their place values:
         456456
    +   004004
    457 \underline{\phantom{457}}

  • Step 2: Start adding from the rightmost column (units place):
            6 (from 456) + 4 = 10.
    The result is 10, so we place 0 in the units place under the line, and carry over 1 to the next column (tens place).

  • Step 3: Move to the tens place, including the carry over:
            5 (from 456) + 0 (from 004) + 1 (carry over) = 6.
    Place 6 in the tens place under the line.

  • Step 4: Move to the hundreds place:
            4 (from 456) + 0 = 4.
    Place 4 in the hundreds place under the line.

The complete sum would look like this:
        456456
+    004004
460460 \phantom{460} \underline{460}

Therefore, the solution to the problem is 460460, which corresponds to choice 4.

Answer

460