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To solve this problem, we'll follow these steps:
Step 1: Properly align the two numbers 791 and 145 vertically by their place values.
Step 2: Add the digits column by column, starting from the rightmost column (units position).
Step 3: Apply carrying over when the sum of any column exceeds 9.
Now, let's work through each step:
Step 1: Arrange the numbers:
Notice the digits are aligned correctly according to their place value.
Step 2: Start adding from the rightmost column:
Units column: . Write 6 in the units place.
Tens column: . Write 3 in the tens place and carry over 1 to the hundreds place.
Hundreds column: , plus the carry over 1 gives . Write 9 in the hundreds place.
Step 3: The final result is:
Therefore, the sum of 791 and 145 is .
936
\( \begin{aligned} &90 \\ +& \\ &~~9\\ &\underline{\phantom{776}} & \\ \end{aligned} \)
When adding a column gives you more than 9, you write down the ones digit and 'carry' the tens digit to the next column. For example, , so write 3 and carry the 1.
Place value alignment is crucial! Units must line up with units, tens with tens, and hundreds with hundreds. This ensures you're adding the correct digits together.
You'll get the wrong answer! In this problem, if you forget to add the carried 1 to the hundreds column, you'd get 836 instead of 936. Always remember to include carried digits.
Use subtraction to verify: Take your answer and subtract one of the original numbers. You should get the other original number. For example: ✓
No problem! Just align them by place value. If adding a 2-digit and 3-digit number, the empty hundreds place in the 2-digit number is treated as zero.
It's much harder! Adding from right to left (ones, then tens, then hundreds) makes carrying easier to track and reduces mistakes. Stick with this method!
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