Exercises: Making and Using Line Plots With Fractional Measurements

On a number line from 0 to 2, $\frac{3}{4}$ lies between   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   and   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

Add: $\frac{1}{4} + \frac{1}{4} + \frac{1}{4}$.

On a line plot, what does each X represent?

A data set of leaf widths includes these measurements: $\frac{1}{2}, \frac{3}{4}, \frac{1}{4}, \frac{1}{2}, 1$. What fractional unit should the number line scale use?

A data set of pencil lengths includes only these measurements: $\frac{3}{8}, \frac{5}{8}, \frac{5}{8}, \frac{7}{8}$. What fractional unit should the number line scale use?

A number line is scaled in eighths, with tick marks at $\frac{1}{8}, \frac{2}{8}, \frac{3}{8}, \ldots, 1$. At which tick mark does the value $\frac{1}{2}$ belong?

A data set of frog jump lengths (in fourths of a foot) is: $\frac{1}{4}, \frac{3}{4}, \frac{3}{4}, \frac{3}{4}, 1, 1\frac{1}{4}$. How many Xs would be stacked above $\frac{3}{4}$ on the line plot?

A data set is measured to the nearest eighth: $\frac{1}{8}, \frac{1}{8}, \frac{3}{8}, \frac{3}{8}, \frac{3}{8}, \frac{5}{8}, \frac{7}{8}$. The smallest value is   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   and the largest value is   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

A student draws a number line and places the tick for $\frac{1}{4}$ very close to the tick for 0, but places the tick for $\frac{1}{2}$ far away from $\frac{1}{4}$. What is wrong with this number line?