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Terminating Decimal
A terminating decimal is a decimal number whose digits come to a definite end after a finite number of decimal places — equivalently, the long-division process eventually produces a remainder of . Examples include , , and . Every terminating decimal is a rational number because it can be rewritten as a fraction whose denominator is a power of ten. For instance, means , which equals the improper fraction — a ratio of two integers. More generally, any decimal that stops after a fixed number of digits can be converted to a mixed number or improper fraction, confirming that it satisfies the definition of a rational number.
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Repeating Decimal
Decimal Place Values
Terminating Decimal
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A laboratory technician is recording chemical concentrations for a quality control report. Match each decimal concentration reading from the digital sensor to its equivalent fractional representation based on the decimal place-value system.
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A logistics coordinator records the weights of outgoing shipments using a digital scale that displays values as decimals (e.g., 0.75 kg). True or False: According to the base-ten number system, a decimal is an alternative notation for a fraction whose denominator is a power of ten (such as 10, 100, or 1,000).
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A quality control technician is calibrating a high-precision digital sensor used to measure the thickness of protective coatings. The sensor displays values to four decimal places. To correctly document the calibration results in the technical log, the technician must identify the place values in their proper sequence. Arrange the following decimal place-value names in the correct order, starting from the position immediately to the right of the decimal point and moving further to the right.
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A technician is recording precision measurements for a quality control report using a digital gauge. The gauge displays a reading of 0.06 millimeters. According to the rules of the base-ten number system, what indicates the specific power of ten (such as 10, 100, or 1,000) that serves as the denominator for this value?
A fleet manager is tracking the fuel efficiency of delivery trucks, which is recorded as 15.4 miles per gallon. According to the base-ten number system, what is the primary function of the decimal point in this value?
Rational Number
Irrational Number
The Number as a Decimal that Does Not Stop or Repeat
Locating Decimals on a Number Line
Learn After
When processing payroll, an accountant identifies that a specific hourly rate is a 'terminating decimal'. What does this mean regarding the digits in that decimal value?
During a payroll audit, an analyst notes that an employee's hourly rate is exactly 25.50. Because the digits in this decimal value come to a definite end after a finite number of places, it is formally classified as a ____ decimal.
Match the following mathematical terms used in workplace measurements and financial records with their correct definitions.
A payroll specialist is calculating a prorated bonus for an employee and determines that the resulting value is a 'terminating decimal.' True or False: This means the digits in the decimal value will eventually stop after a specific number of places.
Defining Terminating Decimals in Financial Records
A laboratory technician is verifying a precise measurement for a technical report. To confirm that the result is a 'terminating decimal,' arrange the following steps of the identification process in the correct order, based on the formal mathematical definition.
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Defining Terminating Decimals in Technical Specifications
In a supply chain inventory system, a manager identifies that a specific unit cost is recorded as a 'terminating decimal' (for example, $0.75). According to the mathematical definition, why is this cost always classified as a rational number?
A quality control inspector is converting fractional measurements from a blueprint into decimal values. According to the formal mathematical definition, which specific outcome during the long-division process confirms that a measurement is a 'terminating decimal'?