Solve Vertical Addition: 56 + 44 Step-by-Step

Vertical Addition with Two-Digit Numbers

56+44776 \begin{aligned} &56 \\ +& \\ &44 \\ &\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 consider combining 2 digits, and then write down
00:06 Let's start by adding ones with ones
00:09 Write down the ones, and remember to carry 1 up
00:12 Add tens with tens, remember to add 1 to the calculation
00:19 Write down the tens in the tens place, and carry 1 to hundreds
00:23 Write 0 in the missing digits
00:29 Add hundreds with hundreds, and write in the appropriate position
00:33 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

56+44776 \begin{aligned} &56 \\ +& \\ &44 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem using vertical addition, follow these steps:

  • Step 1: Write the numbers vertically, ensuring the digits are aligned by place value:
  • 56+44776 \begin{array}{c} 56 \\ + 44 \\ \underline{\phantom{776}} \\ \end{array}

  • Step 2: Add the units digits (rightmost column). The units digit of 56 is 6, and for 44, it is 4.
  • Sum: 6+4=106 + 4 = 10.

  • Step 3: Write down the 0 from the sum (10) in the units place and carry over the 1 to the tens place.
  • Step 4: Add the tens digits (next column to the left). The tens digit of 56 is 5, and for 44, it is 4. Add these along with the carried-over 1.
  • Sum: 5+4+1=105 + 4 + 1 = 10.

  • Step 5: Write down the full result (100) below the line.

Therefore, the sum of 56 and 44 is 100\textbf{100}.

This corresponds to answer choice 1.

3

Final Answer

100

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Stack numbers vertically with ones and tens places aligned
  • Technique: Add from right to left: 6 + 4 = 10, carry the 1
  • Check: Verify by adding horizontally: 56 + 44 = 100 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry over when sum exceeds 9
    Don't just write down 10 in the ones place = wrong answer like 1010! When digits add to 10 or more, you must write the ones digit and carry the tens digit to the next column. Always carry over when your column sum is 10 or greater.

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

What does 'carry over' actually mean?

+

When you add digits and get 10 or more, you write the ones digit below the line and 'carry' the tens digit to the next column. It's like exchanging 10 ones for 1 ten!

Why do I need to line up the numbers vertically?

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Place value alignment is crucial! Ones must be under ones, tens under tens. If misaligned, you'll add wrong digits together and get an incorrect answer.

Can I add from left to right instead?

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It's much harder! Adding from right to left (ones first, then tens) makes carrying easier to track. Try both ways with this problem and see the difference!

What if I get confused about which number goes on top?

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It doesn't matter which number goes on top in addition! 56 + 44 gives the same result as 44 + 56. Pick whichever feels more comfortable.

How can I double-check my vertical addition?

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Try these methods:

  • Add the numbers horizontally: 56 + 44
  • Reverse the order: 44 + 56
  • Break it down: 50 + 40 + 6 + 4 = 100

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