Problem Description:
The image shows a multiplication worksheet where the task is to fill in the blanks for various multiplication problems involving the number 9 and other numbers. The problems are structured in two columns, with the left column focusing on multiplying 9 by numbers from 0 to 9, and the right column containing additional multiplication problems.
Solution:
#### Left Column: Multiplying 9 by Numbers from 0 to 9
1.
9 × 0 = 0
- Any number multiplied by 0 is 0.
2.
9 × 1 = 9
- Any number multiplied by 1 is the number itself.
3.
9 × 2 = 18
- 9 + 9 = 18.
4.
9 × 3 = 27
- 9 + 9 + 9 = 27.
5.
9 × 4 = 36
- 9 + 9 + 9 + 9 = 36.
6.
9 × 5 = 45
- 9 + 9 + 9 + 9 + 9 = 45.
7.
9 × 6 = 54
- 9 + 9 + 9 + 9 + 9 + 9 = 54.
8.
9 × 7 = 63
- 9 + 9 + 9 + 9 + 9 + 9 + 9 = 63.
9.
9 × 8 = 72
- 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = 72.
10.
9 × 9 = 81
- 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = 81.
#### Right Column: Additional Multiplication Problems
1.
9 × 10 = 90
- 9 × 10 can be thought of as 9 × (10) = 90.
2.
9 × 11 = 99
- 9 × 11 can be calculated as 9 × (10 + 1) = 90 + 9 = 99.
3.
9 × 12 = 108
- 9 × 12 can be calculated as 9 × (10 + 2) = 90 + 18 = 108.
4.
10 × 9 = 90
- Commutative property of multiplication: 10 × 9 = 9 × 10 = 90.
5.
9 × 9 = 81
- Already calculated in the left column.
6.
8 × 9 = 72
- 8 × 9 can be calculated as 8 × (10 - 1) = 80 - 8 = 72.
7.
7 × 9 = 63
- 7 × 9 can be calculated as 7 × (10 - 1) = 70 - 7 = 63.
8.
6 × 9 = 54
- 6 × 9 can be calculated as 6 × (10 - 1) = 60 - 6 = 54.
9.
5 × 9 = 45
- 5 × 9 can be calculated as 5 × (10 - 1) = 50 - 5 = 45.
10.
4 × 9 = 36
- 4 × 9 can be calculated as 4 × (10 - 1) = 40 - 4 = 36.
Final Answer:
Here is the completed worksheet:
| Multiplication |
|----------------|
| 9 × 0 =
0 | 9 × 10 =
90 |
| 9 × 1 =
9 | 9 × 11 =
99 |
| 9 × 2 =
18 | 9 × 12 =
108 |
| 9 × 3 =
27 | 10 × 9 =
90 |
| 9 × 4 =
36 | 9 × 9 =
81 |
| 9 × 5 =
45 | 8 × 9 =
72 |
| 9 × 6 =
54 | 7 × 9 =
63 |
| 9 × 7 =
63 | 6 × 9 =
54 |
| 9 × 8 =
72 | 5 × 9 =
45 |
| 9 × 9 =
81 | 4 × 9 =
36 |
Final Answer:
\boxed{
\begin{array}{ll}
9 \times 0 = 0 & 9 \times 10 = 90 \\
9 \times 1 = 9 & 9 \times 11 = 99 \\
9 \times 2 = 18 & 9 \times 12 = 108 \\
9 \times 3 = 27 & 10 \times 9 = 90 \\
9 \times 4 = 36 & 9 \times 9 = 81 \\
9 \times 5 = 45 & 8 \times 9 = 72 \\
9 \times 6 = 54 & 7 \times 9 = 63 \\
9 \times 7 = 63 & 6 \times 9 = 54 \\
9 \times 8 = 72 & 5 \times 9 = 45 \\
9 \times 9 = 81 & 4 \times 9 = 36 \\
\end{array}
}
Parent Tip: Review the logic above to help your child master the concept of multiplication worksheet for 6th graders.