Final answer:
The scenario where David gives Charlotte and Grace a bubblegum and a chocolate each, and it's represented by the equation 2(bubblegum + chocolate) equals 2*bubblegum + 2*chocolate, illustrates the distributive property of multiplication over addition in mathematics.
Step-by-step explanation:
When David gives Charlotte and Grace a bubblegum and a chocolate each, he is distributing 2 candies (a bubblegum and a chocolate) to each of them.
Therefore, the scenario presented in the question can be explained by the distributive property of multiplication over addition in mathematics.
Mathematically, this can be expressed as 2 (bubblegum + chocolate) = 2*bubblegum + 2*chocolate.
This equation demonstrates the distributive property. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
The distributive property is a fundamental property that defines how multiplication operation is distributed over addition and subtraction. The distributive property is also called the distributive law of multiplication over addition and subtraction.