制作图片中的数学解题过程视频---**Question Stem:**
在下面算式的空格中,各填入一个合适的数字,使算式成立。
**Mathematical Problem:**
This is a vertical addition problem with missing digits. The blank spaces are represented by empty squares in the image.
The problem can be represented as:
```
_ 8 _
+ _ 6 _ 3
----------
_ _ 128
```
Let's break down the numbers vertically based on their place values:
* **Top Number (first addend):** Hundreds digit is blank, tens digit is 8, units digit is blank.
* **Bottom Number (second addend):** Thousands digit is blank, hundreds digit is 6, tens digit is blank, units digit is 3.
* **Result (sum):** Thousands digit is blank, hundreds digit is blank, tens digit is 1, units digit is 2, and the overall sum appears to be a five-digit number ending in 128, possibly implied to be a four-digit sum with a carry-over, or a typo in the image making it look like `_ _ 128` instead of `_ 128`.
Upon closer inspection, the sum line looks like `_ _ 128`. This implies the sum is a 5-digit number.
Let's assume the vertical addition is:
```
A8B
+ C6D3
--------
EF128
```
where A, B, C, D, E, F are digits to be filled in.
However, the problem setup looks like a standard column addition where the first number is 3 digits and the second number is 4 digits, resulting in a 5-digit sum.
Let's re-interpret the structure, assuming it's a standard addition of two numbers, aligned by their units digits.
First Number: `_8_` (a 3-digit number)
Second Number: `_6_3` (a 4-digit number)
Sum: `_ _ 128` (a 5-digit number)
This implies:
```
X Y Z
+ A B C D
---------
E F G H I
```
In the image:
X is blank (hundreds of first addend)
Y is 8 (tens of first addend)
Z is blank (units of first addend)
A is blank (thousands of second addend)
B is 6 (hundreds of second addend)
C is blank (tens of second addend)
D is 3 (units of second addend)
E is blank (ten thousands of sum)
F is blank (thousands of sum)
G is 1 (hundreds of sum)
H is 2 (tens of sum)
I is 8 (units of sum)
The sum line formatting suggests:
First column from right (units): `Z + 3` results in `8` (and a carry-over if any).
Second column from right (tens): `8 + C` results in `2` (after considering carry-over from units, and generating new carry-over).
Third column from right (hundreds): `X + 6` results in `1` (after considering carry-over from tens, and generating new carry-over).
Fourth column from right (thousands): `A` (after considering carry-over from hundreds, and generating new carry-over).
Fifth column from right (ten thousands): `E` (after considering carry-over from thousands).
So, the problem is to fill in the blanks in this column addition:
```
(blank) 8 (blank)
+ (blank) 6 (blank) 3
--------------------
(blank) (blank) 1 2 8
```