Question

The value of m is a distance of 3 1/2 units from -2 on the number line. Which numbers, if any, could be the valie of m? Drag any number that could be the value of m into the boxAnswer: -5 1/2, -3 1/2, -2, -1/2, 3 1/2, 51/2

Answer 1

`\text{Answer : m = 5}(1)/(2)`

`\begin{gathered} \text{The distance given }is\text{ 3}(1)/(2)\text{ units} \\ \text{The number on the line is -2} \\ \text{Let the number be m} \\ m\text{ - 2 = 3}(1)/(2) \\ \text{first, convert the mixed fraction into improper fraction} \\ \frac{2\text{ x 3 + 1}}{2} \\ \frac{6\text{ + 1}}{2} \\ (7)/(2) \\ m\text{ - 2 = }(7)/(2) \\ m\text{ = }(7)/(2)\text{ + 2} \\ \text{The common denominator is 2} \\ m\text{ = }\frac{7\text{ + 2 x 2}}{2} \\ m\text{ = }\frac{7\text{ + 4}}{2} \\ m\text{ = }(11)/(2) \\ m\text{ = 5}(1)/(2) \end{gathered}`