Multiplication Tables: Free Printable PDF Templates - Free Printable
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Step-by-step solution for: Multiplication Tables: Free Printable PDF Templates
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Show Answer Key & Explanations
Step-by-step solution for: Multiplication Tables: Free Printable PDF Templates
The image you uploaded is a worksheet for practicing multiplication tables from 1 to 12. Each section of the worksheet lists the multiplication facts for a specific number (e.g., "× 1", "× 2", etc.). Below, I will solve each multiplication problem and explain the solution.
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#### 1. Multiplication Table for ×1
- Any number multiplied by 1 remains the same.
- Solutions:
- \(1 \times 1 = 1\)
- \(2 \times 1 = 2\)
- \(3 \times 1 = 3\)
- \(4 \times 1 = 4\)
- \(5 \times 1 = 5\)
- \(6 \times 1 = 6\)
- \(7 \times 1 = 7\)
- \(8 \times 1 = 8\)
- \(9 \times 1 = 9\)
- \(10 \times 1 = 10\)
- \(11 \times 1 = 11\)
- \(12 \times 1 = 12\)
#### 2. Multiplication Table for ×2
- Multiply each number by 2.
- Solutions:
- \(1 \times 2 = 2\)
- \(2 \times 2 = 4\)
- \(3 \times 2 = 6\)
- \(4 \times 2 = 8\)
- \(5 \times 2 = 10\)
- \(6 \times 2 = 12\)
- \(7 \times 2 = 14\)
- \(8 \times 2 = 16\)
- \(9 \times 2 = 18\)
- \(10 \times 2 = 20\)
- \(11 \times 2 = 22\)
- \(12 \times 2 = 24\)
#### 3. Multiplication Table for ×3
- Multiply each number by 3.
- Solutions:
- \(1 \times 3 = 3\)
- \(2 \times 3 = 6\)
- \(3 \times 3 = 9\)
- \(4 \times 3 = 12\)
- \(5 \times 3 = 15\)
- \(6 \times 3 = 18\)
- \(7 \times 3 = 21\)
- \(8 \times 3 = 24\)
- \(9 \times 3 = 27\)
- \(10 \times 3 = 30\)
- \(11 \times 3 = 33\)
- \(12 \times 3 = 36\)
#### 4. Multiplication Table for ×4
- Multiply each number by 4.
- Solutions:
- \(1 \times 4 = 4\)
- \(2 \times 4 = 8\)
- \(3 \times 4 = 12\)
- \(4 \times 4 = 16\)
- \(5 \times 4 = 20\)
- \(6 \times 4 = 24\)
- \(7 \times 4 = 28\)
- \(8 \times 4 = 32\)
- \(9 \times 4 = 36\)
- \(10 \times 4 = 40\)
- \(11 \times 4 = 44\)
- \(12 \times 4 = 48\)
#### 5. Multiplication Table for ×5
- Multiply each number by 5.
- Solutions:
- \(1 \times 5 = 5\)
- \(2 \times 5 = 10\)
- \(3 \times 5 = 15\)
- \(4 \times 5 = 20\)
- \(5 \times 5 = 25\)
- \(6 \times 5 = 30\)
- \(7 \times 5 = 35\)
- \(8 \times 5 = 40\)
- \(9 \times 5 = 45\)
- \(10 \times 5 = 50\)
- \(11 \times 5 = 55\)
- \(12 \times 5 = 60\)
#### 6. Multiplication Table for ×6
- Multiply each number by 6.
- Solutions:
- \(1 \times 6 = 6\)
- \(2 \times 6 = 12\)
- \(3 \times 6 = 18\)
- \(4 \times 6 = 24\)
- \(5 \times 6 = 30\)
- \(6 \times 6 = 36\)
- \(7 \times 6 = 42\)
- \(8 \times 6 = 48\)
- \(9 \times 6 = 54\)
- \(10 \times 6 = 60\)
- \(11 \times 6 = 66\)
- \(12 \times 6 = 72\)
#### 7. Multiplication Table for ×7
- Multiply each number by 7.
- Solutions:
- \(1 \times 7 = 7\)
- \(2 \times 7 = 14\)
- \(3 \times 7 = 21\)
- \(4 \times 7 = 28\)
- \(5 \times 7 = 35\)
- \(6 \times 7 = 42\)
- \(7 \times 7 = 49\)
- \(8 \times 7 = 56\)
- \(9 \times 7 = 63\)
- \(10 \times 7 = 70\)
- \(11 \times 7 = 77\)
- \(12 \times 7 = 84\)
#### 8. Multiplication Table for ×8
- Multiply each number by 8.
- Solutions:
- \(1 \times 8 = 8\)
- \(2 \times 8 = 16\)
- \(3 \times 8 = 24\)
- \(4 \times 8 = 32\)
- \(5 \times 8 = 40\)
- \(6 \times 8 = 48\)
- \(7 \times 8 = 56\)
- \(8 \times 8 = 64\)
- \(9 \times 8 = 72\)
- \(10 \times 8 = 80\)
- \(11 \times 8 = 88\)
- \(12 \times 8 = 96\)
#### 9. Multiplication Table for ×9
- Multiply each number by 9.
- Solutions:
- \(1 \times 9 = 9\)
- \(2 \times 9 = 18\)
- \(3 \times 9 = 27\)
- \(4 \times 9 = 36\)
- \(5 \times 9 = 45\)
- \(6 \times 9 = 54\)
- \(7 \times 9 = 63\)
- \(8 \times 9 = 72\)
- \(9 \times 9 = 81\)
- \(10 \times 9 = 90\)
- \(11 \times 9 = 99\)
- \(12 \times 9 = 108\)
#### 10. Multiplication Table for ×10
- Multiply each number by 10.
- Solutions:
- \(1 \times 10 = 10\)
- \(2 \times 10 = 20\)
- \(3 \times 10 = 30\)
- \(4 \times 10 = 40\)
- \(5 \times 10 = 50\)
- \(6 \times 10 = 60\)
- \(7 \times 10 = 70\)
- \(8 \times 10 = 80\)
- \(9 \times 10 = 90\)
- \(10 \times 10 = 100\)
- \(11 \times 10 = 110\)
- \(12 \times 10 = 120\)
#### 11. Multiplication Table for ×11
- Multiply each number by 11.
- Solutions:
- \(1 \times 11 = 11\)
- \(2 \times 11 = 22\)
- \(3 \times 11 = 33\)
- \(4 \times 11 = 44\)
- \(5 \times 11 = 55\)
- \(6 \times 11 = 66\)
- \(7 \times 11 = 77\)
- \(8 \times 11 = 88\)
- \(9 \times 11 = 99\)
- \(10 \times 11 = 110\)
- \(11 \times 11 = 121\)
- \(12 \times 11 = 132\)
#### 12. Multiplication Table for ×12
- Multiply each number by 12.
- Solutions:
- \(1 \times 12 = 12\)
- \(2 \times 12 = 24\)
- \(3 \times 12 = 36\)
- \(4 \times 12 = 48\)
- \(5 \times 12 = 60\)
- \(6 \times 12 = 72\)
- \(7 \times 12 = 84\)
- \(8 \times 12 = 96\)
- \(9 \times 12 = 108\)
- \(10 \times 12 = 120\)
- \(11 \times 12 = 132\)
- \(12 \times 12 = 144\)
---
The completed multiplication tables are as follows:
\[
\boxed{
\begin{array}{cccc}
\times 1 & \times 2 & \times 3 & \times 4 \\
1 & 2 & 3 & 4 \\
2 & 4 & 6 & 8 \\
3 & 6 & 9 & 12 \\
4 & 8 & 12 & 16 \\
5 & 10 & 15 & 20 \\
6 & 12 & 18 & 24 \\
7 & 14 & 21 & 28 \\
8 & 16 & 24 & 32 \\
9 & 18 & 27 & 36 \\
10 & 20 & 30 & 40 \\
11 & 22 & 33 & 44 \\
12 & 24 & 36 & 48 \\
\end{array}
\quad
\begin{array}{cccc}
\times 5 & \times 6 & \times 7 & \times 8 \\
5 & 6 & 7 & 8 \\
10 & 12 & 14 & 16 \\
15 & 18 & 21 & 24 \\
20 & 24 & 28 & 32 \\
25 & 30 & 35 & 40 \\
30 & 36 & 42 & 48 \\
35 & 42 & 49 & 56 \\
40 & 48 & 56 & 64 \\
45 & 54 & 63 & 72 \\
50 & 60 & 70 & 80 \\
55 & 66 & 77 & 88 \\
60 & 72 & 84 & 96 \\
\end{array}
\quad
\begin{array}{cccc}
\times 9 & \times 10 & \times 11 & \times 12 \\
9 & 10 & 11 & 12 \\
18 & 20 & 22 & 24 \\
27 & 30 & 33 & 36 \\
36 & 40 & 44 & 48 \\
45 & 50 & 55 & 60 \\
54 & 60 & 66 & 72 \\
63 & 70 & 77 & 84 \\
72 & 80 & 88 & 96 \\
81 & 90 & 99 & 108 \\
90 & 100 & 110 & 120 \\
99 & 110 & 121 & 132 \\
108 & 120 & 132 & 144 \\
\end{array}
}
\]
---
Step-by-Step Solution:
#### 1. Multiplication Table for ×1
- Any number multiplied by 1 remains the same.
- Solutions:
- \(1 \times 1 = 1\)
- \(2 \times 1 = 2\)
- \(3 \times 1 = 3\)
- \(4 \times 1 = 4\)
- \(5 \times 1 = 5\)
- \(6 \times 1 = 6\)
- \(7 \times 1 = 7\)
- \(8 \times 1 = 8\)
- \(9 \times 1 = 9\)
- \(10 \times 1 = 10\)
- \(11 \times 1 = 11\)
- \(12 \times 1 = 12\)
#### 2. Multiplication Table for ×2
- Multiply each number by 2.
- Solutions:
- \(1 \times 2 = 2\)
- \(2 \times 2 = 4\)
- \(3 \times 2 = 6\)
- \(4 \times 2 = 8\)
- \(5 \times 2 = 10\)
- \(6 \times 2 = 12\)
- \(7 \times 2 = 14\)
- \(8 \times 2 = 16\)
- \(9 \times 2 = 18\)
- \(10 \times 2 = 20\)
- \(11 \times 2 = 22\)
- \(12 \times 2 = 24\)
#### 3. Multiplication Table for ×3
- Multiply each number by 3.
- Solutions:
- \(1 \times 3 = 3\)
- \(2 \times 3 = 6\)
- \(3 \times 3 = 9\)
- \(4 \times 3 = 12\)
- \(5 \times 3 = 15\)
- \(6 \times 3 = 18\)
- \(7 \times 3 = 21\)
- \(8 \times 3 = 24\)
- \(9 \times 3 = 27\)
- \(10 \times 3 = 30\)
- \(11 \times 3 = 33\)
- \(12 \times 3 = 36\)
#### 4. Multiplication Table for ×4
- Multiply each number by 4.
- Solutions:
- \(1 \times 4 = 4\)
- \(2 \times 4 = 8\)
- \(3 \times 4 = 12\)
- \(4 \times 4 = 16\)
- \(5 \times 4 = 20\)
- \(6 \times 4 = 24\)
- \(7 \times 4 = 28\)
- \(8 \times 4 = 32\)
- \(9 \times 4 = 36\)
- \(10 \times 4 = 40\)
- \(11 \times 4 = 44\)
- \(12 \times 4 = 48\)
#### 5. Multiplication Table for ×5
- Multiply each number by 5.
- Solutions:
- \(1 \times 5 = 5\)
- \(2 \times 5 = 10\)
- \(3 \times 5 = 15\)
- \(4 \times 5 = 20\)
- \(5 \times 5 = 25\)
- \(6 \times 5 = 30\)
- \(7 \times 5 = 35\)
- \(8 \times 5 = 40\)
- \(9 \times 5 = 45\)
- \(10 \times 5 = 50\)
- \(11 \times 5 = 55\)
- \(12 \times 5 = 60\)
#### 6. Multiplication Table for ×6
- Multiply each number by 6.
- Solutions:
- \(1 \times 6 = 6\)
- \(2 \times 6 = 12\)
- \(3 \times 6 = 18\)
- \(4 \times 6 = 24\)
- \(5 \times 6 = 30\)
- \(6 \times 6 = 36\)
- \(7 \times 6 = 42\)
- \(8 \times 6 = 48\)
- \(9 \times 6 = 54\)
- \(10 \times 6 = 60\)
- \(11 \times 6 = 66\)
- \(12 \times 6 = 72\)
#### 7. Multiplication Table for ×7
- Multiply each number by 7.
- Solutions:
- \(1 \times 7 = 7\)
- \(2 \times 7 = 14\)
- \(3 \times 7 = 21\)
- \(4 \times 7 = 28\)
- \(5 \times 7 = 35\)
- \(6 \times 7 = 42\)
- \(7 \times 7 = 49\)
- \(8 \times 7 = 56\)
- \(9 \times 7 = 63\)
- \(10 \times 7 = 70\)
- \(11 \times 7 = 77\)
- \(12 \times 7 = 84\)
#### 8. Multiplication Table for ×8
- Multiply each number by 8.
- Solutions:
- \(1 \times 8 = 8\)
- \(2 \times 8 = 16\)
- \(3 \times 8 = 24\)
- \(4 \times 8 = 32\)
- \(5 \times 8 = 40\)
- \(6 \times 8 = 48\)
- \(7 \times 8 = 56\)
- \(8 \times 8 = 64\)
- \(9 \times 8 = 72\)
- \(10 \times 8 = 80\)
- \(11 \times 8 = 88\)
- \(12 \times 8 = 96\)
#### 9. Multiplication Table for ×9
- Multiply each number by 9.
- Solutions:
- \(1 \times 9 = 9\)
- \(2 \times 9 = 18\)
- \(3 \times 9 = 27\)
- \(4 \times 9 = 36\)
- \(5 \times 9 = 45\)
- \(6 \times 9 = 54\)
- \(7 \times 9 = 63\)
- \(8 \times 9 = 72\)
- \(9 \times 9 = 81\)
- \(10 \times 9 = 90\)
- \(11 \times 9 = 99\)
- \(12 \times 9 = 108\)
#### 10. Multiplication Table for ×10
- Multiply each number by 10.
- Solutions:
- \(1 \times 10 = 10\)
- \(2 \times 10 = 20\)
- \(3 \times 10 = 30\)
- \(4 \times 10 = 40\)
- \(5 \times 10 = 50\)
- \(6 \times 10 = 60\)
- \(7 \times 10 = 70\)
- \(8 \times 10 = 80\)
- \(9 \times 10 = 90\)
- \(10 \times 10 = 100\)
- \(11 \times 10 = 110\)
- \(12 \times 10 = 120\)
#### 11. Multiplication Table for ×11
- Multiply each number by 11.
- Solutions:
- \(1 \times 11 = 11\)
- \(2 \times 11 = 22\)
- \(3 \times 11 = 33\)
- \(4 \times 11 = 44\)
- \(5 \times 11 = 55\)
- \(6 \times 11 = 66\)
- \(7 \times 11 = 77\)
- \(8 \times 11 = 88\)
- \(9 \times 11 = 99\)
- \(10 \times 11 = 110\)
- \(11 \times 11 = 121\)
- \(12 \times 11 = 132\)
#### 12. Multiplication Table for ×12
- Multiply each number by 12.
- Solutions:
- \(1 \times 12 = 12\)
- \(2 \times 12 = 24\)
- \(3 \times 12 = 36\)
- \(4 \times 12 = 48\)
- \(5 \times 12 = 60\)
- \(6 \times 12 = 72\)
- \(7 \times 12 = 84\)
- \(8 \times 12 = 96\)
- \(9 \times 12 = 108\)
- \(10 \times 12 = 120\)
- \(11 \times 12 = 132\)
- \(12 \times 12 = 144\)
---
Final Answer:
The completed multiplication tables are as follows:
\[
\boxed{
\begin{array}{cccc}
\times 1 & \times 2 & \times 3 & \times 4 \\
1 & 2 & 3 & 4 \\
2 & 4 & 6 & 8 \\
3 & 6 & 9 & 12 \\
4 & 8 & 12 & 16 \\
5 & 10 & 15 & 20 \\
6 & 12 & 18 & 24 \\
7 & 14 & 21 & 28 \\
8 & 16 & 24 & 32 \\
9 & 18 & 27 & 36 \\
10 & 20 & 30 & 40 \\
11 & 22 & 33 & 44 \\
12 & 24 & 36 & 48 \\
\end{array}
\quad
\begin{array}{cccc}
\times 5 & \times 6 & \times 7 & \times 8 \\
5 & 6 & 7 & 8 \\
10 & 12 & 14 & 16 \\
15 & 18 & 21 & 24 \\
20 & 24 & 28 & 32 \\
25 & 30 & 35 & 40 \\
30 & 36 & 42 & 48 \\
35 & 42 & 49 & 56 \\
40 & 48 & 56 & 64 \\
45 & 54 & 63 & 72 \\
50 & 60 & 70 & 80 \\
55 & 66 & 77 & 88 \\
60 & 72 & 84 & 96 \\
\end{array}
\quad
\begin{array}{cccc}
\times 9 & \times 10 & \times 11 & \times 12 \\
9 & 10 & 11 & 12 \\
18 & 20 & 22 & 24 \\
27 & 30 & 33 & 36 \\
36 & 40 & 44 & 48 \\
45 & 50 & 55 & 60 \\
54 & 60 & 66 & 72 \\
63 & 70 & 77 & 84 \\
72 & 80 & 88 & 96 \\
81 & 90 & 99 & 108 \\
90 & 100 & 110 & 120 \\
99 & 110 & 121 & 132 \\
108 & 120 & 132 & 144 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of multiplication charts fill in printable.