Which of the following is an example of the distributive property of multiplication over addition for rational numbers.
Explanation for the correct answer:
Option A.
The distributive property splits the expression into .
So, the split expression for is shown below
This corresponds to option A.
So, Option A is correct.
Explanation for incorrect answers:
Option B.
The expression involves the product of the term outside the bracket with each term inside the bracket.
However, in the expression , the term is not multiplied by each term inside the bracket.
So, the option (B) is incorrect.
Option C.
The expression involves the product of the term outside the bracket with each term inside the bracket.
However, in the expression, the term is not multiplied by each term inside the bracket.
So, the option (C) is incorrect.
Option D.
The expression does not involve any multiplication.
So, option (D) is incorrect.
Hence, the correct option is A.