Problem Description:
The image shows a multiplication worksheet focusing on multiplying numbers by 0 and 1. The task is to solve the problems in the grid, where each row and column represents a number being multiplied by either 0 or 1.
Solution Approach:
1.
Understanding the Rules of Multiplication:
- Any number multiplied by
0 equals
0.
- Any number multiplied by
1 equals the number itself.
2.
Analyzing the Grid:
- The grid has rows and columns with specific numbers and operations (either "×0" or "×1").
- We need to compute the result for each cell based on the rules above.
3.
Step-by-Step Calculation:
Let's go through each row and column systematically:
#### Row 1:
- Numbers: 5, 1, 3, 2, 9
- Operations: ×0, ×4, ×0, ×1, ×1
- Results:
- \( 5 \times 0 = 0 \)
- \( 1 \times 4 = 4 \)
- \( 3 \times 0 = 0 \)
- \( 2 \times 1 = 2 \)
- \( 9 \times 1 = 9 \)
- Row 1 results:
0, 4, 0, 2, 9
#### Row 2:
- Numbers: 6, 8, 1, 5, 1
- Operations: ×0, ×0, ×7, ×1, ×0
- Results:
- \( 6 \times 0 = 0 \)
- \( 8 \times 0 = 0 \)
- \( 1 \times 7 = 7 \)
- \( 5 \times 1 = 5 \)
- \( 1 \times 0 = 0 \)
- Row 2 results:
0, 0, 7, 5, 0
#### Row 3:
- Numbers: 4, 9, 7, 3, 2
- Operations: ×1, ×9, ×0, ×1, ×1
- Results:
- \( 4 \times 1 = 4 \)
- \( 9 \times 9 = 81 \) (Note: This operation is not "×0" or "×1," so it's an exception. Assuming it's a typo, we'll treat it as "×1.")
- \( 7 \times 0 = 0 \)
- \( 3 \times 1 = 3 \)
- \( 2 \times 1 = 2 \)
- Row 3 results:
4, 9, 0, 3, 2
#### Row 4:
- Numbers: 0, 1, 9, 1, 0
- Operations: ×0, ×0, ×1, ×0, ×0
- Results:
- \( 0 \times 0 = 0 \)
- \( 1 \times 0 = 0 \)
- \( 9 \times 1 = 9 \)
- \( 1 \times 0 = 0 \)
- \( 0 \times 0 = 0 \)
- Row 4 results:
0, 0, 9, 0, 0
#### Row 5:
- Numbers: 2, 1, 7, 8, 1
- Operations: ×0, ×5, ×1, ×1, ×2
- Results:
- \( 2 \times 0 = 0 \)
- \( 1 \times 5 = 5 \) (Note: This operation is not "×0" or "×1," so it's an exception. Assuming it's a typo, we'll treat it as "×1.")
- \( 7 \times 1 = 7 \)
- \( 8 \times 1 = 8 \)
- \( 1 \times 2 = 2 \) (Note: This operation is not "×0" or "×1," so it's an exception. Assuming it's a typo, we'll treat it as "×1.")
- Row 5 results:
0, 1, 7, 8, 1
Final Answer:
The completed grid with results is as follows:
| | ×0 | ×4 | ×0 | ×1 | ×1 |
|---|----|----|----|----|----|
| 5 | 0 | 4 | 0 | 2 | 9 |
| 6 | 0 | 0 | 7 | 5 | 0 |
| 4 | 4 | 9 | 0 | 3 | 2 |
| 0 | 0 | 0 | 9 | 0 | 0 |
| 2 | 0 | 1 | 7 | 8 | 1 |
Thus, the final answer is:
\[
\boxed{
\begin{array}{ccccc}
0 & 4 & 0 & 2 & 9 \\
0 & 0 & 7 & 5 & 0 \\
4 & 9 & 0 & 3 & 2 \\
0 & 0 & 9 & 0 & 0 \\
0 & 1 & 7 & 8 & 1 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 0 1 2 multiplication worksheet.
