To solve the Sudoku puzzle, we need to ensure that every row, column, and 3x3 mini-grid contains the numbers 1 through 9 exactly once. Let's go step by step to fill in the missing numbers.
Step 1: Analyze the given numbers
We start by identifying the numbers already present in the grid and use logic to deduce the missing numbers.
Step 2: Fill in the first row
The first row is:
```
4 3 1 5 7 _ 9 6 8
```
The missing number is 2 (since all other numbers from 1 to 9 are present).
So, the first row becomes:
```
4 3 1 5 7 2 9 6 8
```
Step 3: Fill in the second row
The second row is:
```
_ 7 2 _ 1 8 _ 5 3
```
- The missing numbers in this row are 4, 6, and 9.
- In the first column, the numbers are 4, _, 8, _, _, _, _, _, _. So, the missing number in the second row, first column, cannot be 4 or 8. It must be 6.
- In the fourth column, the numbers are _, _, 4, _, _, _, _, _, _. So, the missing number in the second row, fourth column, cannot be 4. It must be 9.
- The only remaining number for the sixth column is 4.
So, the second row becomes:
```
6 7 2 9 1 8 4 5 3
```
Step 4: Fill in the third row
The third row is:
```
8 _ _ 4 _ 6 1 7 _
```
- The missing numbers in this row are 2, 3, 5, and 9.
- In the second column, the numbers are 3, 7, _, _, _, _, _, _, _. So, the missing number in the third row, second column, cannot be 3 or 7. It must be 5.
- In the fifth column, the numbers are 7, 1, _, _, _, _, _, _, _. So, the missing number in the third row, fifth column, cannot be 7 or 1. It must be 9.
- In the ninth column, the numbers are 8, 3, _, _, _, _, _, _, _. So, the missing number in the third row, ninth column, cannot be 8 or 3. It must be 2.
- The only remaining number for the third column is 3.
So, the third row becomes:
```
8 5 3 4 9 6 1 7 2
```
Step 5: Continue filling in the grid
We continue this process for each row, column, and mini-grid, using the rules of Sudoku to deduce the missing numbers. After completing all the steps, the solved Sudoku grid is:
```
4 3 1 5 7 2 9 6 8
6 7 2 9 1 8 4 5 3
8 5 3 4 9 6 1 7 2
5 6 7 3 2 1 8 9 4
7 5 6 8 4 9 3 2 1
3 1 4 7 6 9 5 8 2
9 2 8 6 3 7 4 1 5
1 4 9 2 8 5 6 3 7
2 8 5 1 9 4 7 3 6
```
Final Answer:
\boxed{
\begin{array}{|3{c}|3{c}|3{c}|}
\hline
4 & 3 & 1 & 5 & 7 & 2 & 9 & 6 & 8 \\
6 & 7 & 2 & 9 & 1 & 8 & 4 & 5 & 3 \\
8 & 5 & 3 & 4 & 9 & 6 & 1 & 7 & 2 \\
\hline
5 & 6 & 7 & 3 & 2 & 1 & 8 & 9 & 4 \\
7 & 5 & 6 & 8 & 4 & 9 & 3 & 2 & 1 \\
3 & 1 & 4 & 7 & 6 & 9 & 5 & 8 & 2 \\
\hline
9 & 2 & 8 & 6 & 3 & 7 & 4 & 1 & 5 \\
1 & 4 & 9 & 2 & 8 & 5 & 6 & 3 & 7 \\
2 & 8 & 5 & 1 & 9 & 4 & 7 & 3 & 6 \\
\hline
\end{array}
}
Parent Tip: Review the logic above to help your child master the concept of sudoku worksheet.