Solve Vertical Addition: 978 + 53 Step-by-Step

978+  53776 \begin{aligned} &978 \\ +& \\ &~~53 \\ &\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 we'll place
00:06 Let's start by combining ones with ones
00:09 Place the ones, add 1 to the tens
00:12 Combine tens with tens, remember to add 1 to the calculation
00:20 Place tens in tens, add 1 to hundreds
00:23 Place 0 in the missing digits
00:27 Combine hundreds with hundreds, remember to add 1
00:32 Place the hundreds in hundreds, add 1 to thousands
00:35 Place 0 in the missing digits
00:38 Combine thousands with thousands, and place in thousands
00:41 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

978+  53776 \begin{aligned} &978 \\ +& \\ &~~53 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

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

  • Step 1: Align the numbers 978 and 53 by their place value, where 53 is written below 978, making sure that the rightmost digits are in the same column. This means placing 978 over 53.

Align the numbers:
978+ 53 \begin{array}{c} 978 \\ + \\ \underline{~53} \\ \end{array}

  • Step 2: Add the units place. Add 8 (from 978) and 3 (from 53). The sum is 8 + 3 = 11. Write 1 in the units place of the answer and carry over 1 to the tens place.

  • Step 3: Add the tens place. Add 7 (from 978) and 5 (from 53), also add the carryover of 1 from the previous step. The sum is 7 + 5 + 1 = 13. Write 3 in the tens place of the answer and carry over 1 to the hundreds place.

  • Step 4: Add the hundreds place. Add 9 (from 978) and the carryover 1 (from the tens calculation). The sum is 9 + 1 = 10. Write 0 in the hundreds place of the answer and carry over 1 to the thousands place.

  • Step 5: Since we have a carryover for the thousands place, write 1.

Thus, the complete sum is 1031 1031 .

The solution to the problem is 1031 1031 , which matches choice 2.

3

Final Answer

1031

Practice Quiz

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\( \begin{aligned} &83 \\ +& \\ &~~6 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)

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