Ordering Negative Fractions and Mixed Numbers Using Inequality Symbols

A quality control technician is training a new hire on how to read a custom scale marked in fractions. The technician explains that to locate a measurement like 3/5 on a number line, one must first divide the unit interval into equal segments. Which part of the fraction 3/5 tells the new hire the total number of segments to create?

A quality control inspector is using a manual gauge marked in fractional increments. To correctly plot measurements on this scale, match each mathematical term with its descriptive role on the number line.

Locating Improper Fractions on a Measurement Scale

A quality control inspector needs to mark a measurement of -2/5 on a scale. Arrange the following steps in the correct order to accurately plot this negative proper fraction on a number line based on the strategy described in your course.

A construction technician is marking a measurement of -5/2 inches on a specialized layout tool. True or False: According to the strategy for plotting fractions, converting -5/2 to the mixed number -2 1/2 indicates that the measurement should be plotted between the integers -1 and -2.

A quality control technician is marking a custom measurement rail that functions as a number line. According to the standard strategy for locating values, the technician should first plot the ________ numbers because they fall directly on the labeled tick marks, providing a reference for the fractions that follow.

Strategy for Marking Fractional Intervals on a Scale

Precision Tool Scale Calibration

A logistics supervisor is calibrating a digital scale that tracks weight deviations in fractional units. When marking the location for a negative proper fraction (a fraction where the numerator is smaller than the denominator, such as -2/5), between which two integers on the scale will this value always be located?

A machinist is marking a measurement of 9/4 inches on a precision gauge. According to the strategy for locating improper fractions on a number line, arrange the following steps in the correct order to accurately plot this measurement.

Locating $-1$, rac{1}{3}, rac{6}{5}, -rac{7}{4}, rac{9}{2}, $5$, and -rac{8}{3} on a Number Line

Locating $-2$, rac{2}{3}, rac{7}{5}, -rac{7}{4}, rac{7}{2}, $3$, and -rac{7}{3} on a Number Line

Locating Decimals on a Number Line

Example of Locating $4$, rac{3}{4}, -rac{1}{4}, $-3$, rac{6}{5}, -rac{5}{2}, and rac{7}{3} on a Number Line

Example of Locating rac{1}{5}, -rac{4}{5}, $3$, rac{7}{4}, -rac{9}{2}, $-5$, and rac{8}{3} on a Number Line