Question

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

Answer 1

2 positive * 1 negative = negative

2 negative * 1 positive = positive

Explanation:

one positive and 2 negative

(+ * -) * - =

positive times negative = negative * negative = positive

(+ * -) * - = +

now if we change the order by putting parenthesis

+ *( - * -)

negative time negative = positive

+ * (+) = positive

the result is positive

The result does not change because of where we put the parentheses.

- * + * + =

negative times positive = negative

negative * positive= negative

- * + * + = negative

The order does not matter