Final answer:
The expression 6 × 19 is equal to (6 × 10) + (6 × 9) which accurately applies the distributive property of multiplication over addition.
Therefore the correct answer is option is D) (6 × 10) + (6 × 9)
Step-by-step explanation:
The expression 6 × 19 can be represented in different forms, but the one that is equal to the original expression is Option D: (6 × 10) + (6 × 9).
This is because 6 is multiplied by both 10 and 9, and the results are then added together. This demonstrates the distributive property of multiplication over addition.
Option A is incorrect because it implies two separate multiplication operations (6 × 10 × 9), which would yield a different result. Option B (6 × 10) + 9 does not account for the multiplication by 9 of the original 6, and Option C (6 × 1) + (6 × 9) includes an unnecessary multiplication by 1 and would not yield the correct result either.