Solve the Addition Problem: 977 + 23 in Vertical Format

Video Solution

Solution Steps

00:00 Solve

00:03 Each time consider combining 2 digits, and then place

00:06 Let's start by multiplying ones with ones

00:09 Place the ones in ones position, and add 1 to tens

00:12 Multiply tens with tens, remember to add 1 to the calculation

00:18 Place tens in tens position, and add 1 to hundreds

00:22 Place 0 in the missing digits

00:26 Multiply hundreds with hundreds, remember to add 1 to the calculation

00:30 Place hundreds in hundreds position, and add 1 to thousands

00:33 Place 0 in the missing digits

00:36 Multiply thousands with thousands, remember to add 1 to the calculation

00:40 And this is the solution to the question

Step-by-Step Solution

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

Step 1: Align the numbers for vertical addition:
$\ \ \ 977$
$+ 23$
Step 2: Start by adding the units digits.
The units digit of $977$ is $7$ and the units digit of $23$ is $3$ .
$7 + 3 = 10$ . Write $0$ in the units place and carry over $1$ to the tens place.
Step 3: Add the tens digits including the carryover.
The tens digit of $977$ is $7$ and the tens digit of $23$ is $2$ .
Including the carryover $1$ :
$7 + 2 + 1 = 10$ . Write $0$ in the tens place and carry over $1$ to the hundreds place.
Step 4: Add the hundreds digits including the carryover.
The hundreds digit of $977$ is $9$ . There are no hundreds in $23$ , so only the carryover $1$ is added:
$9 + 1 = 10$ . Write $0$ in the hundreds place and carry over $1$ to the thousands place.
Step 5: Since $23$ does not have a thousands place digit, just write the $1$ from the previous carryover in the thousands place.

After completing all these steps, the final sum is $1000$ .