Dividing $3.99 ÷ 24
Divide by applying the decimal division procedure and rounding the result to the nearest cent:
- Set up the division: The divisor is already a whole number, so no decimal-point shifting is needed. Place the decimal point in the quotient directly above the decimal point in the dividend .
- Extend the dividend: Because the answer involves money, it must be rounded to the nearest cent — the hundredths place. To round correctly, the division must be carried out to the thousandths place. Append a zero to the dividend, making it .
- Perform long division:
- into : time (), remainder .
- Bring down : into : times (), remainder .
- Bring down : into : times (), remainder . The quotient so far is .
- Round to the nearest cent: The hundredths digit is and the thousandths digit is also . Since , round up: .
Therefore, . This example illustrates a key rule for money problems: always carry the division one place beyond the rounding target (to the thousandths place when rounding to the nearest cent) so that the rounding digit can be correctly determined.
0
1
Tags
OpenStax
Elementary Algebra @ OpenStax
Ch.1 Foundations - Elementary Algebra @ OpenStax
Algebra
Math
Prealgebra
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?
Rounding 18.379 to the Nearest Hundredth
Rounding 18.379 to the Nearest Tenth
Rounding 18.379 to the Nearest Whole Number
Dividing $3.99 ÷ 24
Rounding to Two Decimal Places
A logistics coordinator needs to round a shipping weight to the nearest tenth for a manifest. Arrange the standard steps for rounding a decimal number in the correct order.
A logistics coordinator needs to round a shipping weight to the nearest tenth for a manifest. Arrange the standard steps for rounding a decimal number in the correct order.
A logistics coordinator needs to round a shipping weight to the nearest tenth for a manifest. Arrange the standard steps for rounding a decimal number in the correct order.
A medical assistant is rounding a patient's weight in kilograms for an electronic health record. After the assistant has determined whether to increase the digit in the target place value based on the digit to its right, what is the correct final step in the standard procedure for rounding decimals?
A payroll specialist is rounding an employee's hourly wage to the nearest cent. According to the standard procedure for rounding decimals, the final step is to replace all digits to the right of the target place with zeros.
An auditor is rounding financial figures for a year-end report. Match each step of the standard decimal rounding procedure with its correct description.
Decimal Rounding: Decision Criteria
A quality control technician is rounding a precise measurement for a compliance report. According to the standard four-step procedure for rounding decimals, after the digit in the target place has been adjusted, the final step is to ____ all digits to the right of that target place value.
Establishing Standard Operating Procedures for Pharmacy Dosages
Rounding 6.582 to the Nearest Hundredth
Rounding 6.582 to the Nearest Tenth
Rounding 6.582 to the Nearest Whole Number
Rounding 15.2175 to the Nearest Thousandth
Rounding 15.2175 to the Nearest Hundredth
Rounding 15.2175 to the Nearest Tenth
Standard Operating Procedure for Decimal Rounding
Learn After
When dividing a total cost of $3.99 by a quantity of 24 to find a unit price, what is the first step in the division procedure regarding the decimal point?
A warehouse manager needs to determine the unit price of an item by dividing a bulk cost of $3.99 by 24 units. To ensure the price is correctly rounded to the nearest cent, the manager must perform the division until reaching the ____ decimal place.
An office supply coordinator is calculating the cost per binder for a pack of 24 binders that costs $3.99. Arrange the following steps of the decimal division procedure in the correct chronological order to find the unit price rounded to the nearest cent.
In a corporate procurement report, a clerk calculates the unit price of a 24-count pack of safety vests priced at $3.99. True or False: After performing the division and rounding to the nearest cent, the correct unit price is $0.17.
A corporate office manager is calculating the unit cost for a bulk order of 24 shipping envelopes that cost $3.99 in total. Match each component of the decimal division procedure with its correct numerical value from this specific calculation.
Unit Price Entry for Bulk Procurement
Unit Price Calculation for Procurement Records
Standard Operating Procedure: Calculating Unit Price from Bulk Costs
An inventory specialist is calculating the unit cost of a 24-count bulk item priced at $3.99. According to the specific decimal division procedure, what is the 'quotient so far' reached at the thousandths place before any rounding is applied?
A procurement officer is calculating the unit cost of a 24-count bulk item priced at $3.99. According to the division procedure, what characteristic of the divisor (24) makes it unnecessary to shift any decimal points before starting the long division?