To understand multi-digit addition using underscores (_), let's break down the process step by step.
Example Problem
Let's add the numbers 256 and 738.
Step-by-Step Process
-
Align the Numbers Write the numbers vertically, aligning them by place value (ones, tens, hundreds).
256 + 738
-
Add the Ones Column Start by adding the digits in the ones column (rightmost column).
- 6 (from 256) + 8 (from 738) = 14
- Write down 4 and carry over 1.
256 + 738 ------ 4 (write 4, carry 1)
-
Add the Tens Column Next, move to the tens column. Add the digits plus any carry from the previous column.
- 5 (from 256) + 3 (from 738) + 1 (carry) = 9
256 + 738 ------ 94 (write 9 below, no carry)
-
Add the Hundreds Column Finally, add the hundreds column.
- 2 (from 256) + 7 (from 738) = 9
256 + 738 ------ 994 (write 9 below)
Final Result
Combine all the digits you've written down:
256
+ 738
-----
994
Thus, 256 + 738 = 994.
Summary
To perform multi-digit addition:
- Align the numbers by place value.
- Add starting from the rightmost column to the left, carrying over as necessary.
- Write down each answer as you go.
This method ensures accuracy and helps in visualizing the addition process.