Question

Which could be used to evaluate the expression Negative 6 (4 and two-thirds)?
(Negative 6) (4) + (negative 6) (two-thirds)
(Negative 6) (4) times (negative 6) (two-thirds)
(Negative 6 + 4) + (Negative 6 + two-thirds)
(Negative 6 + 4) times (negative 6 + two-thirds)

Answer 1

The first one: (−6)(4) + (−6)(2/3).

Reason: 4 and 2/3 = 4 + 2/3, and −6(4 + 2/3) = −6·4 + −6·(2/3) by the distributive property. Evaluate: −6·4 = −24, −6·(2/3) = −4, so total = −28.