Example of Locating , rac{3}{4}, - rac{1}{4}, , rac{6}{5}, - rac{5}{2}, and rac{7}{3} on a Number Line
To plot these numbers accurately on a number line, place them step-by-step according to their mathematical form. Begin with the integers: and are plotted directly on their labeled integer marks. Next, locate the proper fractions: the fraction rac{3}{4} sits between and , so the interval is divided into four equal sections and marked at the third point. The negative proper fraction - rac{1}{4} is located between and , marked at the first interval to the left of zero. Lastly, convert the improper fractions into mixed numbers to easily pinpoint their placement: rac{6}{5} = 1 rac{1}{5}, which is marked just past ; - rac{5}{2} = -2 rac{1}{2}, placed perfectly halfway between and ; and rac{7}{3} = 2 rac{1}{3}, placed one-third of the total distance passing toward .
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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 technical designer is marking precise coordinates on a linear scale for a construction project. To ensure accuracy, the designer must identify the equivalent mixed number or specific interval for various measurement points. Match each fraction to its corresponding form or location on the scale.
A maintenance technician is recording a pressure variance of units on a linear gauge where ` represents the optimal setting. According to the standard procedure for locating this value, between which two integer marks should the technician place the mark?
A logistics coordinator is marking a pallet weight of tons on a linear scale. True or False: According to the standard procedure for locating values on a number line, this value is correctly placed by converting it to the mixed number and marking it one-third of the distance from the integer mark towards the integer mark .
An architectural drafter is marking a point at position on a site plan's linear scale. To locate this value accurately, the drafter identifies that it lies on the number line between the integer mark 0 and the integer mark ____.
A quality control technician is marking specific measurement points on a linear scale. According to the standard procedure for locating integers, proper fractions, and improper fractions on a number line, arrange the following steps in the correct chronological order.