Question

Given the expression below and based on the values that are given, what will the sign of the product be? -4*(-8/9)*2.78*(1 1/3)*(-2/5)*(-6.2)*(0.2873)*(3 1/11)* A

Answer 1

The sign on the end result is +

Explanation:

Given

`-4*(-8/9)*2.78*(1\ 1/3)*(-2/5)*(-6.2)*(0.2873)*(3\ 1/11)`

Required

Determine the sign of the result

To do this, we simply write out the product of the sign of individual digit.

`-4*(-8/9)*2.78*(1\ 1/3)*(-2/5)*(-6.2)*(0.2873)*(3\ 1/11)` becomes

`- * - * + * + * - * -* + * +`

Group the product in 2's

`(- * -) *( + * +) *( - * -)* (+ * +)`

As a general rule:

`- * - = +`

`- * + = -`

`+ * - = -`

`+ * + = +`

Apply this rule on the above;

`(- * -) *( + * +) *( - * -)* (+ * +)` becomes

`+ * + * + * +`

Group in 2's

`(+ * +) * (+ * +)`

Apply the rule

`+ * +`

Finally, this gives:

`+`

Hence, the sign on the end result is +