Question

Which of the following is equivalent to the expression below?

3(28+19)
A: 3+(28 x 19)
B: 3(28)+19
C: (3+28)x(3+19)
D: 3(28)+3(19)

Answer 1

The expression equivalent to 3(28+19) is found by applying the distributive property, giving us 3(28) + 3(19), which is option D in the provided choices.

Step-by-step explanation:

To find which expression is equivalent to 3(28+19), we need to use the distributive property of multiplication over addition. The distributive property is given by the formula A (B+C) = A B + A C. Applying this, we multiply 3 by both 28 and 19, then add the results together.

So, 3(28+19) becomes 3(28) + 3(19).

Reviewing the provided options:

A: 3+(28 x 19) - This is incorrect because it suggests adding 3 to the product of 28 and 19, which is not equivalent to the original expression.

B: 3(28)+19 - This is incorrect because it does not multiply 3 by 19.

C: (3+28)x(3+19) - This is incorrect because it adds 3 to both 28 and 19 before multiplying, which changes the values significantly.

D: 3(28)+3(19) - This is correct and is the equivalent expression using the distributive property.