Art 7
6. Which of the following correctly uses the
Distributive Property?
A 0.4 x (2a - 0.3b) = 0.4 + (2a -0.3b)
(2a -0.36)
B 0.4 (2a - 0.3b) = 0.4
C 0.4 x (2a - 0.3b) = 0.8a - 0.12b
D 0.4 x (2a - 0.3b) = 0.8a x 0.12b

C) 0.4 x (2a - 0.3b) = 0.8a - 0.12b

Step-by-step explanation:

0.4 x (2a - 0.3b)

= 0.4(2a) - 0.4(3b)

= 0.8a - 0.12b

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.