Learn Before
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 34.25.
- Apply the sign: The determined sign is positive.
Therefore, .
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Ch.1 Foundations - Intermediate Algebra @ OpenStax
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Related
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
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?
Example of Dividing
Example of Dividing
Learn After
A billing coordinator is processing a credit adjustment of divided into units of . Following the standard procedure for decimal division, which whole-number expression is equivalent to the original problem after determining the sign and correctly shifting the decimal points?
An auditor is reviewing an expense report where a total overage of must be split into individual line-item deductions of . To determine the number of line items, the auditor must divide the total by the unit amount. Arrange the following steps in the correct order to solve according to the standard procedure.
An accounting clerk is processing a reimbursement where a total credit of is divided into unit amounts of . True or False: According to the standard procedure for dividing signed decimals, the quotient of will be a positive value because both the dividend and the divisor have the same sign.
A corporate accounting trainee is reviewing a financial report where they must divide a total credit adjustment of by a unit adjustment of . Match each step or property of this calculation with its correct numerical value or characteristic according to the standard procedure for dividing decimals.
An inventory analyst is auditing a shortage report and must calculate to find the exact number of missing batches. According to the procedure for dividing decimals, after determining the sign and shifting the decimal points to make the divisor a whole number, the problem simplifies to , which yields a final quotient of ____.
Calculating Proportional Billing Adjustments
Documenting Decimal Division in Billing Audits