Question

PLEASE ANSWER ASAP! IMPORTANT! MUST BE CORRECT! MORE POINTS!

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

Is William’s statement always true, sometimes true, or always false? Write two pairs of equations to support your answer.

Answer 1

the asnwer is ALWAYS FALSE since we ahve the associative property of multiplication which states that
a(bc)=(ab)c so theerfor any numberes we use doesn't matter where the parenthaseees is as long as it is all multiplication so exg

2 times (3 times 4)=(2 times 3) times 4
2 times (    12        )=(  6          )  times 4
2 times 12=6 times 4
24=24
This is true so will is wrong

so 2 equations

-2.4 times (-0.63 times 1.8)=(-2.4 times -0.63) times 1.8
-2.4 times (-1.134)=(1.512) times 1.8
2.7216=2.7216
true so will is wrong


-3.42 times (1.8 times -2.4)=(-3.42 times 1.8) times -2.4
-3.42 times (-4.32)=(-6.156) times -2.4
14.7744=14.7744
true so will is wrong


WILL'S STATEMENT IS  ALWAYS WRONG