Question

2. 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

(a) Is William’s statement always true, sometimes true, or always false? Write two pairs of equations to support your answer.
(b) Write a rule describing the results when one multiplies three positive and negative decimals and changes the order of multiplication using parentheses.
please help with my two questions =^.^=

Answer 1

@Michele_Laino

Answer 2

hint:
the multiplication of rational numbers has the commutative property, namely:

\[\huge \begin{gathered}
\left( {a \cdot b} \right) \cdot c = a \cdot \left( {b \cdot c} \right) = \left( {c \cdot a} \right) \cdot b \hfill \\
\hfill \\
a,b,c \in \mathbb{Q} \hfill \\
\end{gathered} \]