The equation 15(4+3)=15×4+15×3 demonstrates which property?

The equation 15(4+3)=15×4+15×3 illustrates the distributive property of multiplication over addition. This property states that when a number is multiplied by a sum, it is equivalent to multiplying that number by each addend in the sum and then adding the products together.

In this case, 15 is distributed across the sum (4 + 3). First, it multiplies 15 by 4, resulting in 15 × 4, and then it multiplies 15 by 3, giving 15 × 3. The results of these two multiplications are then added together, leading to the equation's equality. This clearly showcases how the distributive property works, demonstrating that the sum inside the parentheses can be distributed to each of its terms.

The significance of this property lies in its usefulness for simplifying expressions and solving equations in arithmetic and algebra, making it an essential concept in mathematics education.