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Locating on a Number Line
To locate on a number line, first convert it to a fraction: . Because this fraction's absolute value is less than , the point lies between and . To pinpoint its position, subdivide the interval from to into hundredths and label representative tick marks. The point falls between and , positioned at the th hundredth to the left of zero. This example demonstrates that when a decimal has two decimal places, the hundredths scale is needed for exact placement — a finer subdivision than the tenths scale used for single-decimal-place values like .
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Ch.1 Foundations - Elementary Algebra @ OpenStax
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Locating on a Number Line
Locating on a Number Line
A technician is recording a measurement of 0.7 liters on a digital log. When plotting this value on a number line, into how many equal segments should the interval between 0 and 1 be divided to represent the 'tenths' place?
A technician needs to plot a precise decimal measurement on a manual gauge's number line. Arrange the following steps in the correct order to locate the decimal point accurately according to the standard strategy.
A technician is plotting a reading of -0.74 on a number line. According to the strategy described in the course, this value is located between the integer 0 and the integer ____.
A technician recording measurements on a digital log must often plot values on a manual reference chart. To ensure accuracy, match each feature of a decimal value with the correct action taken when locating it on a number line according to the standard strategy.
When a technician is using the standard strategy to locate a decimal measurement on a manual number line, the first step is to convert the decimal into its equivalent fraction to identify which two consecutive integers the value falls between.
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Standard Protocol for Locating Decimal Measurements
A laboratory assistant is recording a negative measurement deviation of -0.3 on a manual quality control chart. After subdividing the interval between 0 and -1 into ten equal parts, which action correctly follows the standard strategy to locate the point?
A laboratory technician is recording precise measurement deviations on a manual quality control chart. According to the standard strategy for locating these values on a number line, every decimal is treated as a fraction whose denominator is always a _________.
Learn After
An inventory specialist records a variance of -0.74 units in a cycle count. When plotting this value on a number line, between which two tenths-markers should the specialist place the mark?
A quality control technician is plotting a measurement deviation of -0.74 on a number line. To locate this value precisely, the technician must recognize that the decimal -0.74 is equivalent to a fraction with a denominator of ____.
A laboratory technician is recording a precision measurement of -0.74 on a coordinate scale. Match each characteristic of this decimal value with its corresponding rule for correct placement on a number line.
A quality control technician is plotting a component deviation of -0.74 mm on a reference number line. True or False: To achieve exact placement of this value, the technician must use a scale subdivided into hundredths because the decimal has two decimal places.
An operations analyst is recording a budget variance of -0.74 on a performance tracking number line. Arrange the following steps in the correct order to accurately locate and plot this value on the number line.
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Standard Procedure for Plotting Negative Variances
A quality control technician is marking a component tolerance of -0.74 mm on a reference number line. Based on the standard interpretation of decimals and signs, which statement correctly identifies the point's location relative to zero?
A quality control technician is plotting a measurement deviation of -0.74 on a precision number line where each tick mark represents one hundredth (0.01). To achieve exact placement of this value, how many tick marks to the left of zero must the technician count?