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

Video Solution

Solution Steps

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 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:
$\begin{array}{c} 978 \\ + \\ \underline{~53} \\ \end{array}$

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 $1031$ .

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