Question

solving equations with the distributive property - item 2454
question 7 of 7
katrin wants to use the distributive property to mentally find the value of
19·42 + 19·58.
which expression can she use?
19·(42 + 58)
19·(42·58)
(19 + 19)·(42 + 58)
19·19·(42 + 58)

Explanation:

Step1: Recall Distributive Property

The distributive property of multiplication over addition states that \(a \cdot b + a \cdot c = a \cdot (b + c)\). Here, \(a = 19\), \(b = 42\), and \(c = 58\).

Step2: Apply the Property

Given the expression \(19 \cdot 42 + 19 \cdot 58\), using the distributive property, we can factor out the common factor \(19\) and rewrite the expression as \(19 \cdot (42 + 58)\).

Answer:

A. \(19 \cdot (42 + 58)\)