The Distributive Property of Multiplication of Integers
The distributive property of multiplication states that the product of a number and the sum (or difference) of two or more numbers is equal to the sum (or difference) of the products of the number and each of the numbers being added or subtracted. This property is useful when multiplying integers, as it allows us to simplify calculations and solve problems more efficiently.

Explanation:
- When multiplying an integer by a sum or difference, you can distribute the multiplication to each term within the parentheses.
- For example, if we have the expression 2 x (3 + 4), we can distribute the 2 to both the 3 and the 4: 2 x 3 + 2 x 4.
- This simplifies to 6 + 8, which equals 14.
- The distributive property can also be applied when multiplying a number by a difference: 2 x (4 - 3) = 2 x 4 - 2 x 3 = 8 - 6 = 2.

Benefits of the Distributive Property:
- Helps simplify calculations by breaking down complex expressions into simpler ones.
- Allows for easier manipulation of integers when solving equations or word problems.
- Can be used to expand and factor algebraic expressions.
By understanding and applying the distributive property of multiplication, you can enhance your problem-solving skills and mathematical proficiency when working with integers.