Question

PLEASE ANSWER ASAP! VERY IMPORTANT! MORE POINTS GIVEN!

William said that when you multiply three positive and negative decimals, the answer changes depending on where you place the parentheses. Use these numbers to answer the questions: –2.4, –0.63, 1.8, –3.42

Write a rule describing the results when one multiplies three positive and negative decimals and
changes the order of multiplication using parentheses.

Answer 1

so as seen in the previous problem and using the associative propery of multiplication which is a(bc)=(ab)c we can conclude that the order doesn't matter so then we find the part with the positives and negatives
so we will see what happens when we multipliy positives and negatives
so we remember these rules
(+)=positive
(-)=negative
(+) times (+)=(+)
(-) times (-)=(+)
(+) times (-)=(-)
(-) times (+)=(-)

basically group in pairs and write the signs down to conclude proper signs ex.
-2 times 2 times 4 times -3 would be (-2 times +2) times (+4 times -3) or (- times +) times (+ times -)=(-) times (-) =+
basically just do this over and over again untill you get 1 sign



basically the rule is if you multiply 2 pairs of signs, if the signs are the same, then the result is positive
if the signs are different, then the result is negative

(+) times (+)=(+)
(-) times (-)=(+)
(+) times (-)=(-)
(-) times (+)=(-)