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Example of Dividing
To evaluate the division , follow the procedure for dividing decimals:
- Determine the sign: Both the dividend () and the divisor () are negative. Since their signs are the same, the quotient will be positive.
- Make the divisor a whole number: The divisor has two decimal places. Shift its decimal point two places to the right to make it .
- Shift the dividend's decimal point: Shift the decimal point in two places to the right as well, resulting in .
- Divide by long division: The problem simplifies to . To perform the division, append a decimal point and a zero placeholder to the dividend: . The long division yields the quotient .
- Apply the sign: The determined sign is positive.
Therefore, .
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Ch.1 Foundations - Intermediate Algebra @ OpenStax
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Dividing $3.99 ÷ 24
A procurement officer is calculating the price per unit for a bulk order of chemicals. The calculation requires dividing the total cost by the total volume, both of which are decimal values. Arrange the steps for dividing decimals in the correct order to ensure an accurate calculation.
A quality control analyst is calculating the density of a material by dividing its mass (12.45 grams) by its volume (2.5 cubic centimeters). To simplify the calculation, the analyst shifts the decimal point in both the mass and the volume one place to the right. Which mathematical property justifies this action?
A financial data analyst is drafting a Standard Operating Procedure (SOP) for auditors to use when manually verifying unit cost calculations. Match each part of the decimal division problem with the specific rule or action required by the standard procedure.
A warehouse manager is calculating the number of units in a shipment by dividing the total weight (84.2 pounds) by the weight of a single unit (0.05 pounds). To make the divisor (0.05) a whole number, the manager moves the decimal point two places to the right. To ensure the quotient remains unchanged, the manager must also move the decimal point in the dividend (84.2) exactly ____ place(s) to the right.
When a financial analyst manually verifies a calculation by dividing one decimal by another, the standard procedure requires placing the decimal point in the quotient directly above its original location in the dividend, before any shifts were made.
Finalizing the Decimal Division Procedure
Standard Operating Procedure for Decimal Division in Auditing
Manufacturing Density Calculation Procedure
A payroll administrator is processing a series of account corrections and needs to divide a total negative adjustment of -$120.50 (the dividend) by a negative factor of -0.25 (the divisor). According to the standard procedure for dividing decimals, which rule correctly determines the sign of the resulting quotient?
Example of Dividing
Example of Dividing
Example of Dividing
Justification for Moving Decimals in Division
A logistics coordinator is manually calculating shipping rates by dividing a total cost (the dividend) by a weight (the divisor). According to the standard procedure for dividing decimals, what action must be taken if the dividend has fewer decimal places than the number of shifts required to make the divisor a whole number?