Answer:
The sign on the end result is +
Step-by-step explanation:
Given
[tex]-4*(-8/9)*2.78*(1\ 1/3)*(-2/5)*(-6.2)*(0.2873)*(3\ 1/11)[/tex]
Required
Determine the sign of the result
To do this, we simply write out the product of the sign of individual digit.
[tex]-4*(-8/9)*2.78*(1\ 1/3)*(-2/5)*(-6.2)*(0.2873)*(3\ 1/11)[/tex] becomes
[tex]- * - * + * + * - * -* + * +[/tex]
Group the product in 2's
[tex](- * -) *( + * +) *( - * -)* (+ * +)[/tex]
As a general rule:
[tex]- * - = +[/tex]
[tex]- * + = -[/tex]
[tex]+ * - = -[/tex]
[tex]+ * + = +[/tex]
Apply this rule on the above;
[tex](- * -) *( + * +) *( - * -)* (+ * +)[/tex] becomes
[tex]+ * + * + * +[/tex]
Group in 2's
[tex](+ * +) * (+ * +)[/tex]
Apply the rule
[tex]+ * +[/tex]
Finally, this gives:
[tex]+[/tex]
Hence, the sign on the end result is +
