Example of Locating rac{1}{5}, - rac{4}{5}, , rac{7}{4}, - rac{9}{2}, , and rac{8}{3} on a Number Line
To systematically locate this set of fractions and whole numbers on a number line, approach them based on their structural type. First, the whole numbers and correspond directly to their respective integer tick marks. Next, handle the proper fractions: rac{1}{5} has a value between and , so the interval is divided into equal parts, and the point is plotted at the first mark. Similarly, the proper fraction - rac{4}{5} lies between and and is placed at the fourth mark to the left. Finally, for the improper fractions, convert each to a mixed number to accurately identify the adjacent integers they fall between: rac{7}{4} = 1 rac{3}{4}, positioning it three-quarters of the way between and ; - rac{9}{2} = -4 rac{1}{2}, which sits exactly halfway between and ; and rac{8}{3} = 2 rac{2}{3}, placed two-thirds of the distance traveling from to .
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Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
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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 , rac{1}{3}, rac{6}{5}, - rac{7}{4}, rac{9}{2}, , and - rac{8}{3} on a Number Line
Locating , rac{2}{3}, rac{7}{5}, - rac{7}{4}, rac{7}{2}, , and - rac{7}{3} on a Number Line
Locating Decimals on a Number Line
Example of Locating , rac{3}{4}, - rac{1}{4}, , rac{6}{5}, - rac{5}{2}, and rac{7}{3} on a Number Line
Example of Locating rac{1}{5}, - rac{4}{5}, , rac{7}{4}, - rac{9}{2}, , and rac{8}{3} on a Number Line
Learn After
A site surveyor is recording elevations relative to a baseline on a specialized measuring rod that functions as a number line. To ensure the accuracy of the final report, match each recorded elevation value with the correct description of its precise location on the measuring rod based on the systematic procedures for locating fractions.
An apprentice in a precision manufacturing program is reviewing a training example on how to map calibration adjustments on a number line. According to the provided example, how is the improper fraction accurately positioned?
In a quality control laboratory, a technician uses a number line to map calibration offsets. According to the systematic procedure for locating fractions, a negative proper fraction such as is correctly positioned by dividing the interval between 0 and -1 into five equal parts and placing the point at the fourth mark to the left of 0.
Precision Measurement Calibration
An apprentice in a construction training program is using a vertical measurement rod that functions as a number line to mark foundation elevations. To ensure accuracy, the apprentice must follow the systematic example to plot the following set of locations: , , 3, , , -5, and . Arrange the following steps in the correct order according to the systematic procedure described in the training example.