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To solve this vertical addition problem, we need to add 945 and 55. Let's work through this step-by-step, adding from right to left (from the ones place to the hundreds place).
Step 1: Set up the problem with proper alignment
We align the numbers by place value:
Step 2: Add the ones column
In the ones place, we have .
Since 10 equals 1 ten and 0 ones, we write 0 in the ones place and carry 1 to the tens column.
Step 3: Add the tens column
In the tens place, we have , plus the carried 1, giving us .
Since 10 equals 1 hundred and 0 tens, we write 0 in the tens place and carry 1 to the hundreds column.
Step 4: Add the hundreds column
In the hundreds place, we have (since 55 has no hundreds digit), plus the carried 1, giving us .
Since 10 equals 1 thousand and 0 hundreds, we write 0 in the hundreds place and carry 1 to the thousands column.
Step 5: Write the thousands digit
The carried 1 becomes our thousands digit.
The complete addition looks like this:
Therefore, the sum of 945 and 55 is .
1000
\( \begin{aligned} &90 \\ +& \\ &~~9\\ &\underline{\phantom{776}} & \\ \end{aligned} \)
When two digits add up to 10 or more, you write the ones digit in that column and carry the tens digit to the next column on the left. For example, 5+5=10, so write 0 and carry 1.
Lining up by place value ensures you're adding units to units, tens to tens, etc. If numbers aren't aligned properly, you'll add the wrong digits together and get an incorrect answer.
That's normal! In this problem, 45 has no hundreds digit, so we treat it as 045. The missing digits are essentially zeros, so 9+0=9 in the hundreds column.
Try these methods:
Write the carried digit small and above the next column so you don't forget it! Also, practice saying out loud: '5 plus 5 equals 10, write 0 carry 1' to reinforce the process.
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