**Distributivity of multiplication over addition**

The distributive property is a fundamental concept in mathematics that relates multiplication and addition. It states that when you multiply a number by the sum of two other numbers, the result is equal to the sum of the products of the number multiplied by each of the two other numbers.

For example, let's consider the expression 37 * (58 + 37). According to the distributive property, we can break down this expression into two parts: 37 * 58 and 37 * 37.

**Step 1: Calculate 37 * 58**

To calculate 37 * 58, simply multiply the two numbers together:

37 * 58 = 2,146

**Step 2: Calculate 37 * 37**

To calculate 37 * 37, multiply the two numbers together:

37 * 37 = 1,369

**Step 3: Add the two products**

Finally, add the two products together:

2,146 + 1,369 = 3,515

Therefore, 37 * (58 + 37) = 3,515.

**Related to Introduction to Comparing Quantities - Math, Class 6**

The concept of distributivity of multiplication over addition is relevant to the topic of comparing quantities in mathematics. When comparing quantities, it is often necessary to perform operations such as addition and multiplication. Understanding the distributive property helps simplify calculations and allows for a more efficient comparison of quantities.

For example, when comparing the costs of two items, let's say item A costs $37 and item B costs $58. If we want to calculate the total cost of buying two of item A and three of item B, we can use the distributive property to simplify the calculation:

2 * $37 + 3 * $58

Using the distributive property, we can break this down into two parts:

(2 * $37) + (3 * $58)

Now, we can calculate each part separately:

2 * $37 = $74

3 * $58 = $174

Finally, we add the two results together:

$74 + $174 = $248

Therefore, the total cost of buying two of item A and three of item B is $248.

In summary, the distributive property of multiplication over addition is a fundamental concept in mathematics that allows us to simplify calculations and compare quantities more efficiently. It is applicable in various mathematical topics, including comparing quantities in Class 6 mathematics.