Vertical Addition: Solving 44 + 4 Step by Step

Place Value Addition with Single-Digit Second Addend

44+  4776 \begin{aligned} &44 \\ +& \\ &~~4 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Each time we calculate the sum of 2 digits, and then we substitute
00:06 We'll start by adding ones with ones, substitute the solution
00:09 Put 0 where there is no digit
00:12 Add tens with tens, substitute the solution
00:15 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

44+  4776 \begin{aligned} &44 \\ +& \\ &~~4 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

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

  • Step 1: Align the numbers 4444 and 44 such that digits of the same place value (units) are below one another.
  • Step 2: Add the digits in the units column. This means summing 44 and 44 to get 88.
  • Step 3: Check for carry over, if any, and add digits in the next column (tens column). In this case, there's no carry over needed, so just add the digit 44 from 4444 with the implied 00 from 44 (tens place) to get 44.
  • Step 4: Combine the results. The tens place gives 44 and the units place gives 88, forming the number 4848.

Now, let's work through each step:
Step 1: Vertical alignment:
44+04\begin{array}{c} 44 \\ + 04 \\ \hline \end{array}
Step 2: Units column 4+4=84 + 4 = 8 (no carry over).
Step 3: Tens column 4+0=44 + 0 = 4.
Step 4: Combining the tens and units results: the number is 4848.

Therefore, the sum of 4444 and 44 is 4848. The correct choice from the provided options is choice 33.

3

Final Answer

48

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up ones column directly below ones column
  • Technique: Add ones first: 4+4=84 + 4 = 8, then tens: 4+0=44 + 0 = 4
  • Check: Count up from 44: 45, 46, 47, 48 equals our answer ✓

Common Mistakes

Avoid these frequent errors
  • Misaligning place values when writing vertically
    Don't put the 4 under the first 4 in 44 = gives 48 in wrong positions! This creates confusion about which digits represent tens vs ones. Always align the single digit 4 under the ones place (rightmost digit) of 44.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &90 \\ +& \\ &~~9\\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

Why does 4 become 04 when I write it under 44?

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The single digit 4 actually represents 4 ones and 0 tens. Writing it as 04 helps you see that the tens place is empty, making alignment clearer for vertical addition.

How do I know which column to add first?

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Always start with the rightmost column (ones place) and work left. This is important because if you need to carry over, it affects the next column to the left.

What if I get confused about place values?

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Remember: the rightmost digit is always ones, the next left is tens, then hundreds. Use place value charts or grid paper to help keep columns straight!

Do I need to carry over in this problem?

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No carrying needed here! Since 4+4=84 + 4 = 8 in the ones column, and 8 is less than 10, we simply write 8 and move to the tens column.

How can I double-check my vertical addition?

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  • Method 1: Add horizontally: 44+4=4844 + 4 = 48
  • Method 2: Count up from 44 four times
  • Method 3: Use the inverse: 484=4448 - 4 = 44

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