Multiplication Facts 0-12 worksheet for learning and practicing basic multiplication.

Problem Description:

The task is to fill in the multiplication facts table for numbers 0 through 12. This involves calculating the product of every pair of numbers from 0 to 12.

Solution Approach:

1. Understand the Structure: The table is organized into rows and columns, where each cell represents the product of the row number and the column number.
2. Fill in Each Cell: For each cell at the intersection of row \( r \) and column \( c \), calculate the product \( r \times c \).
3. Use Basic Multiplication Rules:
- Any number multiplied by 0 is 0.
- Any number multiplied by 1 is the number itself.
- Use standard multiplication for other cases.

Step-by-Step Calculation:

#### First Row (0 × any number):
- \( 0 \times 0 = 0 \)
- \( 0 \times 1 = 0 \)
- \( 0 \times 2 = 0 \)
- ...
- \( 0 \times 12 = 0 \)

#### Second Row (1 × any number):
- \( 1 \times 0 = 0 \)
- \( 1 \times 1 = 1 \)
- \( 1 \times 2 = 2 \)
- ...
- \( 1 \times 12 = 12 \)

#### Third Row (2 × any number):
- \( 2 \times 0 = 0 \)
- \( 2 \times 1 = 2 \)
- \( 2 \times 2 = 4 \)
- ...
- \( 2 \times 12 = 24 \)

#### Fourth Row (3 × any number):
- \( 3 \times 0 = 0 \)
- \( 3 \times 1 = 3 \)
- \( 3 \times 2 = 6 \)
- ...
- \( 3 \times 12 = 36 \)

#### Fifth Row (4 × any number):
- \( 4 \times 0 = 0 \)
- \( 4 \times 1 = 4 \)
- \( 4 \times 2 = 8 \)
- ...
- \( 4 \times 12 = 48 \)

#### Sixth Row (5 × any number):
- \( 5 \times 0 = 0 \)
- \( 5 \times 1 = 5 \)
- \( 5 \times 2 = 10 \)
- ...
- \( 5 \times 12 = 60 \)

#### Seventh Row (6 × any number):
- \( 6 \times 0 = 0 \)
- \( 6 \times 1 = 6 \)
- \( 6 \times 2 = 12 \)
- ...
- \( 6 \times 12 = 72 \)

#### Eighth Row (7 × any number):
- \( 7 \times 0 = 0 \)
- \( 7 \times 1 = 7 \)
- \( 7 \times 2 = 14 \)
- ...
- \( 7 \times 12 = 84 \)

#### Ninth Row (8 × any number):
- \( 8 \times 0 = 0 \)
- \( 8 \times 1 = 8 \)
- \( 8 \times 2 = 16 \)
- ...
- \( 8 \times 12 = 96 \)

#### Tenth Row (9 × any number):
- \( 9 \times 0 = 0 \)
- \( 9 \times 1 = 9 \)
- \( 9 \times 2 = 18 \)
- ...
- \( 9 \times 12 = 108 \)

#### Eleventh Row (10 × any number):
- \( 10 \times 0 = 0 \)
- \( 10 \times 1 = 10 \)
- \( 10 \times 2 = 20 \)
- ...
- \( 10 \times 12 = 120 \)

#### Twelfth Row (11 × any number):
- \( 11 \times 0 = 0 \)
- \( 11 \times 1 = 11 \)
- \( 11 \times 2 = 22 \)
- ...
- \( 11 \times 12 = 132 \)

#### Thirteenth Row (12 × any number):
- \( 12 \times 0 = 0 \)
- \( 12 \times 1 = 12 \)
- \( 12 \times 2 = 24 \)
- ...
- \( 12 \times 12 = 144 \)

Final Answer:

The completed multiplication facts table is as follows:

\[
\begin{array}{|c|c|c|c|c|c|}
\hline
\textbf{Name:} & & & & & \\
\hline
\multicolumn{6}{|c|}{\textbf{Multiplication Facts 0 - 12}} \\
\hline
0 \times 0 = 0 & 1 \times 0 = 0 & 2 \times 0 = 0 & 3 \times 0 = 0 & 4 \times 0 = 0 \\
0 \times 1 = 0 & 1 \times 1 = 1 & 2 \times 1 = 2 & 3 \times 1 = 3 & 4 \times 1 = 4 \\
0 \times 2 = 0 & 1 \times 2 = 2 & 2 \times 2 = 4 & 3 \times 2 = 6 & 4 \times 2 = 8 \\
0 \times 3 = 0 & 1 \times 3 = 3 & 2 \times 3 = 6 & 3 \times 3 = 9 & 4 \times 3 = 12 \\
0 \times 4 = 0 & 1 \times 4 = 4 & 2 \times 4 = 8 & 3 \times 4 = 12 & 4 \times 4 = 16 \\
0 \times 5 = 0 & 1 \times 5 = 5 & 2 \times 5 = 10 & 3 \times 5 = 15 & 4 \times 5 = 20 \\
0 \times 6 = 0 & 1 \times 6 = 6 & 2 \times 6 = 12 & 3 \times 6 = 18 & 4 \times 6 = 24 \\
0 \times 7 = 0 & 1 \times 7 = 7 & 2 \times 7 = 14 & 3 \times 7 = 21 & 4 \times 7 = 28 \\
0 \times 8 = 0 & 1 \times 8 = 8 & 2 \times 8 = 16 & 3 \times 8 = 24 & 4 \times 8 = 32 \\
0 \times 9 = 0 & 1 \times 9 = 9 & 2 \times 9 = 18 & 3 \times 9 = 27 & 4 \times 9 = 36 \\
0 \times 10 = 0 & 1 \times 10 = 10 & 2 \times 10 = 20 & 3 \times 10 = 30 & 4 \times 10 = 40 \\
0 \times 11 = 0 & 1 \times 11 = 11 & 2 \times 11 = 22 & 3 \times 11 = 33 & 4 \times 11 = 44 \\
0 \times 12 = 0 & 1 \times 12 = 12 & 2 \times 12 = 24 & 3 \times 12 = 36 & 4 \times 12 = 48 \\
\hline
5 \times 0 = 0 & 6 \times 0 = 0 & 7 \times 0 = 0 & 8 \times 0 = 0 & 9 \times 0 = 0 \\
5 \times 1 = 5 & 6 \times 1 = 6 & 7 \times 1 = 7 & 8 \times 1 = 8 & 9 \times 1 = 9 \\
5 \times 2 = 10 & 6 \times 2 = 12 & 7 \times 2 = 14 & 8 \times 2 = 16 & 9 \times 2 = 18 \\
5 \times 3 = 15 & 6 \times 3 = 18 & 7 \times 3 = 21 & 8 \times 3 = 24 & 9 \times 3 = 27 \\
5 \times 4 = 20 & 6 \times 4 = 24 & 7 \times 4 = 28 & 8 \times 4 = 32 & 9 \times 4 = 36 \\
5 \times 5 = 25 & 6 \times 5 = 30 & 7 \times 5 = 35 & 8 \times 5 = 40 & 9 \times 5 = 45 \\
5 \times 6 = 30 & 6 \times 6 = 36 & 7 \times 6 = 42 & 8 \times 6 = 48 & 9 \times 6 = 54 \\
5 \times 7 = 35 & 6 \times 7 = 42 & 7 \times 7 = 49 & 8 \times 7 = 56 & 9 \times 7 = 63 \\
5 \times 8 = 40 & 6 \times 8 = 48 & 7 \times 8 = 56 & 8 \times 8 = 64 & 9 \times 8 = 72 \\
5 \times 9 = 45 & 6 \times 9 = 54 & 7 \times 9 = 63 & 8 \times 9 = 72 & 9 \times 9 = 81 \\
5 \times 10 = 50 & 6 \times 10 = 60 & 7 \times 10 = 70 & 8 \times 10 = 80 & 9 \times 10 = 90 \\
5 \times 11 = 55 & 6 \times 11 = 66 & 7 \times 11 = 77 & 8 \times 11 = 88 & 9 \times 11 = 99 \\
5 \times 12 = 60 & 6 \times 12 = 72 & 7 \times 12 = 84 & 8 \times 12 = 96 & 9 \times 12 = 108 \\
\hline
10 \times 0 = 0 & 11 \times 0 = 0 & 12 \times 0 = 0 \\
10 \times 1 = 10 & 11 \times 1 = 11 & 12 \times 1 = 12 \\
10 \times 2 = 20 & 11 \times 2 = 22 & 12 \times 2 = 24 \\
10 \times 3 = 30 & 11 \times 3 = 33 & 12 \times 3 = 36 \\
10 \times 4 = 40 & 11 \times 4 = 44 & 12 \times 4 = 48 \\
10 \times 5 = 50 & 11 \times 5 = 55 & 12 \times 5 = 60 \\
10 \times 6 = 60 & 11 \times 6 = 66 & 12 \times 6 = 72 \\
10 \times 7 = 70 & 11 \times 7 = 77 & 12 \times 7 = 84 \\
10 \times 8 = 80 & 11 \times 8 = 88 & 12 \times 8 = 96 \\
10 \times 9 = 90 & 11 \times 9 = 99 & 12 \times 9 = 108 \\
10 \times 10 = 100 & 11 \times 10 = 110 & 12 \times 10 = 120 \\
10 \times 11 = 110 & 11 \times 11 = 121 & 12 \times 11 = 132 \\
10 \times 12 = 120 & 11 \times 12 = 132 & 12 \times 12 = 144 \\
\hline
\end{array}
\]

\boxed{\text{See the filled table above}}