Learn Before
Example of Dividing
To evaluate the division , apply the decimal division procedure:
- Determine the sign: Both and are negative, so their signs are the same and the quotient will be positive.
- Make the divisor a whole number: The divisor has two decimal places. Move its decimal point two places to the right to make it .
- Shift the dividend's decimal point: Move the decimal point in two places to the right to match, giving .
- Divide by long division: The equivalent whole-number division is . Evaluating this long division yields the quotient .
- Apply the sign: Since the signs were the same, the quotient remains positive.
Therefore, .
0
1
Tags
OpenStax
Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
Algebra
Related
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?
Learn After
You are reconciling a corporate inventory system where a negative variance of must be allocated by a negative depreciation factor of . To determine the correct adjustment, you need to calculate . According to the standard decimal division procedure, what is the equivalent long division setup required (using a whole-number divisor) before applying the final positive sign?
A logistics coordinator is reconciling a shipment variance. They need to divide a total weight discrepancy of kilograms by a per-package adjustment factor of . Arrange the steps of the standard decimal division procedure in the correct sequence to determine the quotient.
A financial analyst is reconciling a budget variance and needs to calculate the result of . Based on the standard procedure for dividing decimals, match each component of the calculation to its correct value or description.
A corporate accountant is reconciling a ledger and needs to evaluate the expression . True or False: According to the rules for dividing signed decimals, the resulting quotient will be positive because both the dividend and the divisor have the same sign.
Calculating Division of Signed Decimals