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To solve this problem, we need to add 945 and 45 using vertical addition. We'll do this step by step:
Step 1: Write both numbers vertically, aligning them by place value:
Step 2: Start adding from the rightmost column (the units):
Step 3: Move to the tens place and add, including the carryover:
Step 4: Finally, add the hundreds place:
Therefore, the sum of 945 and 45 is .
990
\( \begin{aligned} &90 \\ +& \\ &~~9\\ &\underline{\phantom{776}} & \\ \end{aligned} \)
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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