All Times tables Chart - Print for free (many colors) | Memozor - Free Printable

Problem Description:

The image provided is a multiplication table that shows the results of multiplying numbers from 1 to 12 by each number from 1 to 12. The task is to solve a problem related to this multiplication table. Since no specific problem was mentioned in your question, I will assume the task is to explain how to use this multiplication table effectively and demonstrate its utility with an example.

---

Explanation of the Multiplication Table:

The multiplication table is organized into rows and columns, where:
- Each column represents a specific multiplier (e.g., \(1 \times\), \(2 \times\), ..., \(12 \times\)).
- Each row within a column shows the product of the multiplier and a series of numbers from 1 to 12.

For example:
- In the "3 ×" column, you can see the products of 3 multiplied by numbers from 1 to 12: \(3 \times 1 = 3\), \(3 \times 2 = 6\), \(3 \times 3 = 9\), and so on.
- Similarly, in the "7 ×" column, you can find the products of 7 multiplied by numbers from 1 to 12: \(7 \times 1 = 7\), \(7 \times 2 = 14\), \(7 \times 3 = 21\), and so on.

This table is a powerful tool for quickly finding the product of any two numbers between 1 and 12 without performing the multiplication manually.

---

Example Problem:

Suppose you need to calculate \(8 \times 7\). How would you use the multiplication table to find the answer?

#### Steps to Solve:
1. Identify the Multiplier: Look for the column labeled "8 ×".
2. Identify the Multiplicand: Within the "8 ×" column, find the row corresponding to \(8 \times 7\).
3. Read the Result: The value at the intersection of the "8 ×" column and the "7" row is the product.

#### Solution:
- In the "8 ×" column, the row for \(8 \times 7\) shows the result as 56.

Thus, \(8 \times 7 = 56\).

---

General Utility of the Multiplication Table:

1. Quick Reference: The table allows you to look up multiplication facts instantly, which is especially useful for mental math or when solving more complex problems that involve multiplication.
2. Pattern Recognition: By observing the table, you can identify patterns in multiplication, such as:
- Multiplying by 10 always results in adding a zero to the multiplicand (e.g., \(10 \times 3 = 30\)).
- Multiplying by 9 has a pattern in the digits of the products (e.g., \(9 \times 2 = 18\), \(9 \times 3 = 27\), etc.).
3. Educational Tool: This table is commonly used in teaching multiplication to students, helping them memorize basic multiplication facts.

---

Final Answer:

If the task was to calculate \(8 \times 7\), the answer is:

\[
\boxed{56}
\]

If you have a different specific problem in mind, please provide additional details, and I will be happy to assist further!