Printable multiplication tables from 1 to 12 for educational use.

Problem Description:

The image shows a set of multiplication tables from 1 to 12. The task is to solve the multiplication problems in each table and fill in the missing results.

Solution Approach:

Each multiplication table represents the products of numbers from 1 to 12 multiplied by a specific number (e.g., the "× 2" table shows the results of multiplying each number from 1 to 12 by 2). We will calculate each product systematically for all tables.

Step-by-Step Solution:

#### Table × 1:
- Any number multiplied by 1 is the number itself.
- Results:
$$
\begin{aligned}
&1 \times 1 = 1, \quad 2 \times 1 = 2, \quad 3 \times 1 = 3, \quad 4 \times 1 = 4, \\
&5 \times 1 = 5, \quad 6 \times 1 = 6, \quad 7 \times 1 = 7, \quad 8 \times 1 = 8, \\
&9 \times 1 = 9, \quad 10 \times 1 = 10, \quad 11 \times 1 = 11, \quad 12 \times 1 = 12.
\end{aligned}
$$

#### Table × 2:
- Double each number from 1 to 12.
- Results:
$$
\begin{aligned}
&1 \times 2 = 2, \quad 2 \times 2 = 4, \quad 3 \times 2 = 6, \quad 4 \times 2 = 8, \\
&5 \times 2 = 10, \quad 6 \times 2 = 12, \quad 7 \times 2 = 14, \quad 8 \times 2 = 16, \\
&9 \times 2 = 18, \quad 10 \times 2 = 20, \quad 11 \times 2 = 22, \quad 12 \times 2 = 24.
\end{aligned}
$$

#### Table × 3:
- Triple each number from 1 to 12.
- Results:
$$
\begin{aligned}
&1 \times 3 = 3, \quad 2 \times 3 = 6, \quad 3 \times 3 = 9, \quad 4 \times 3 = 12, \\
&5 \times 3 = 15, \quad 6 \times 3 = 18, \quad 7 \times 3 = 21, \quad 8 \times 3 = 24, \\
&9 \times 3 = 27, \quad 10 \times 3 = 30, \quad 11 \times 3 = 33, \quad 12 \times 3 = 36.
\end{aligned}
$$

#### Table × 4:
- Multiply each number from 1 to 12 by 4.
- Results:
$$
\begin{aligned}
&1 \times 4 = 4, \quad 2 \times 4 = 8, \quad 3 \times 4 = 12, \quad 4 \times 4 = 16, \\
&5 \times 4 = 20, \quad 6 \times 4 = 24, \quad 7 \times 4 = 28, \quad 8 \times 4 = 32, \\
&9 \times 4 = 36, \quad 10 \times 4 = 40, \quad 11 \times 4 = 44, \quad 12 \times 4 = 48.
\end{aligned}
$$

#### Table × 5:
- Multiply each number from 1 to 12 by 5.
- Results:
$$
\begin{aligned}
&1 \times 5 = 5, \quad 2 \times 5 = 10, \quad 3 \times 5 = 15, \quad 4 \times 5 = 20, \\
&5 \times 5 = 25, \quad 6 \times 5 = 30, \quad 7 \times 5 = 35, \quad 8 \times 5 = 40, \\
&9 \times 5 = 45, \quad 10 \times 5 = 50, \quad 11 \times 5 = 55, \quad 12 \times 5 = 60.
\end{aligned}
$$

#### Table × 6:
- Multiply each number from 1 to 12 by 6.
- Results:
$$
\begin{aligned}
&1 \times 6 = 6, \quad 2 \times 6 = 12, \quad 3 \times 6 = 18, \quad 4 \times 6 = 24, \\
&5 \times 6 = 30, \quad 6 \times 6 = 36, \quad 7 \times 6 = 42, \quad 8 \times 6 = 48, \\
&9 \times 6 = 54, \quad 10 \times 6 = 60, \quad 11 \times 6 = 66, \quad 12 \times 6 = 72.
\end{aligned}
$$

#### Table × 7:
- Multiply each number from 1 to 12 by 7.
- Results:
$$
\begin{aligned}
&1 \times 7 = 7, \quad 2 \times 7 = 14, \quad 3 \times 7 = 21, \quad 4 \times 7 = 28, \\
&5 \times 7 = 35, \quad 6 \times 7 = 42, \quad 7 \times 7 = 49, \quad 8 \times 7 = 56, \\
&9 \times 7 = 63, \quad 10 \times 7 = 70, \quad 11 \times 7 = 77, \quad 12 \times 7 = 84.
\end{aligned}
$$

#### Table × 8:
- Multiply each number from 1 to 12 by 8.
- Results:
$$
\begin{aligned}
&1 \times 8 = 8, \quad 2 \times 8 = 16, \quad 3 \times 8 = 24, \quad 4 \times 8 = 32, \\
&5 \times 8 = 40, \quad 6 \times 8 = 48, \quad 7 \times 8 = 56, \quad 8 \times 8 = 64, \\
&9 \times 8 = 72, \quad 10 \times 8 = 80, \quad 11 \times 8 = 88, \quad 12 \times 8 = 96.
\end{aligned}
$$

#### Table × 9:
- Multiply each number from 1 to 12 by 9.
- Results:
$$
\begin{aligned}
&1 \times 9 = 9, \quad 2 \times 9 = 18, \quad 3 \times 9 = 27, \quad 4 \times 9 = 36, \\
&5 \times 9 = 45, \quad 6 \times 9 = 54, \quad 7 \times 9 = 63, \quad 8 \times 9 = 72, \\
&9 \times 9 = 81, \quad 10 \times 9 = 90, \quad 11 \times 9 = 99, \quad 12 \times 9 = 108.
\end{aligned}
$$

#### Table × 10:
- Multiply each number from 1 to 12 by 10.
- Results:
$$
\begin{aligned}
&1 \times 10 = 10, \quad 2 \times 10 = 20, \quad 3 \times 10 = 30, \quad 4 \times 10 = 40, \\
&5 \times 10 = 50, \quad 6 \times 10 = 60, \quad 7 \times 10 = 70, \quad 8 \times 10 = 80, \\
&9 \times 10 = 90, \quad 10 \times 10 = 100, \quad 11 \times 10 = 110, \quad 12 \times 10 = 120.
\end{aligned}
$$

#### Table × 11:
- Multiply each number from 1 to 12 by 11.
- Results:
$$
\begin{aligned}
&1 \times 11 = 11, \quad 2 \times 11 = 22, \quad 3 \times 11 = 33, \quad 4 \times 11 = 44, \\
&5 \times 11 = 55, \quad 6 \times 11 = 66, \quad 7 \times 11 = 77, \quad 8 \times 11 = 88, \\
&9 \times 11 = 99, \quad 10 \times 11 = 110, \quad 11 \times 11 = 121, \quad 12 \times 11 = 132.
\end{aligned}
$$

#### Table × 12:
- Multiply each number from 1 to 12 by 12.
- Results:
$$
\begin{aligned}
&1 \times 12 = 12, \quad 2 \times 12 = 24, \quad 3 \times 12 = 36, \quad 4 \times 12 = 48, \\
&5 \times 12 = 60, \quad 6 \times 12 = 72, \quad 7 \times 12 = 84, \quad 8 \times 12 = 96, \\
&9 \times 12 = 108, \quad 10 \times 12 = 120, \quad 11 \times 12 = 132, \quad 12 \times 12 = 144.
\end{aligned}
$$

Final Answer:

The completed multiplication tables are as follows:

$$
\boxed{
\begin{array}{c|c|c|c}
\times 1 & \times 2 & \times 3 & \times 4 \\
\hline
1 & 2 & 3 & 4 \\
2 & 4 & 6 & 8 \\
3 & 6 & 9 & 12 \\
4 & 8 & 12 & 16 \\
5 & 10 & 15 & 20 \\
6 & 12 & 18 & 24 \\
7 & 14 & 21 & 28 \\
8 & 16 & 24 & 32 \\
9 & 18 & 27 & 36 \\
10 & 20 & 30 & 40 \\
11 & 22 & 33 & 44 \\
12 & 24 & 36 & 48 \\
\end{array}
\quad
\begin{array}{c|c|c|c}
\times 5 & \times 6 & \times 7 & \times 8 \\
\hline
5 & 6 & 7 & 8 \\
10 & 12 & 14 & 16 \\
15 & 18 & 21 & 24 \\
20 & 24 & 28 & 32 \\
25 & 30 & 35 & 40 \\
30 & 36 & 42 & 48 \\
35 & 42 & 49 & 56 \\
40 & 48 & 56 & 64 \\
45 & 54 & 63 & 72 \\
50 & 60 & 70 & 80 \\
55 & 66 & 77 & 88 \\
60 & 72 & 84 & 96 \\
\end{array}
\quad
\begin{array}{c|c|c|c}
\times 9 & \times 10 & \times 11 & \times 12 \\
\hline
9 & 10 & 11 & 12 \\
18 & 20 & 22 & 24 \\
27 & 30 & 33 & 36 \\
36 & 40 & 44 & 48 \\
45 & 50 & 55 & 60 \\
54 & 60 & 66 & 72 \\
63 & 70 & 77 & 84 \\
72 & 80 & 88 & 96 \\
81 & 90 & 99 & 108 \\
90 & 100 & 110 & 120 \\
99 & 110 & 121 & 132 \\
108 & 120 & 132 & 144 \\
\end{array}
}
$$