Learn Before
Subtracting 20 − 14.65
Subtract using the decimal subtraction procedure:
- Align the decimal points — write above so that the decimal points line up vertically. Because is a whole number, place the decimal point immediately after the to get .
- Insert placeholder zeros — the number has no decimal digits while has two, so append two zeros to get . This is valid because .
- Subtract and place the decimal point — subtract column by column from right to left, borrowing (regrouping) as needed. Working through the borrowing: the ones digit must lend to the tenths and hundredths places, which in turn requires borrowing from the tens digit. After regrouping, the column-by-column subtraction yields .
The result is . This example highlights a common special case: when subtracting a decimal from a whole number, the whole number's decimal point and placeholder zeros must be written explicitly before the subtraction can proceed.
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Adding 23.5 + 41.38
Subtracting 20 − 14.65
Simplifying
A logistics coordinator needs to calculate the total weight of two packages weighing 14.5 kg and 9.25 kg. Arrange the following steps in the correct order to perform this decimal addition manually according to the standard procedure.
A payroll clerk is manually calculating the total hours worked by an employee who logged 38.5 hours in week one and 40.25 hours in week two. According to the standard procedure for adding decimals, what is the first step the clerk must take to set up the calculation?
Maintaining Precision in Laboratory Measurements
A construction worker is calculating the combined length of two copper pipes measuring 8.5 meters and 4.25 meters. According to the standard procedure for adding decimals, the worker should append a trailing ____ to the 8.5 measurement to ensure both numbers have the same number of decimal places before performing the addition.
A shipping clerk is calculating the total cost of two service fees: $15.60 and $9.4. Match each step of the standard decimal addition procedure with the correct action the clerk should take.
A landscape designer is calculating the total length of two irrigation pipes measuring 12.5 meters and 8.75 meters. True or False: According to the standard procedure for adding decimals, the designer should align the rightmost digit of both numbers (the 5 in 12.5 and the 5 in 8.75) in the same vertical column.
Manual Decimal Addition in Medical Billing
Standard Procedure for Decimal Operations in Inventory Auditing
An inventory manager is totaling the weights of two shipments: 154.2 kg and 87.65 kg. According to the standard procedure for adding decimals, what is the primary reason the manager must align the decimal points vertically before performing the calculation?
Evaluating
Evaluating
Example of Evaluating
Example of Evaluating
Example of Evaluating
Example of Evaluating
A carpentry apprentice is subtracting a 2.45-meter segment from a 10.8-meter board. After aligning the decimal points and performing the subtraction as if the numbers were whole numbers, what is the final step the apprentice must take to complete the calculation according to the standard procedure?
Learn After
An office manager needs to calculate the remaining balance of a $20 petty cash fund after a $14.65 purchase. To perform the subtraction 20 - 14.65 manually using the standard decimal subtraction procedure, arrange the following steps in the correct order from first to last.
A logistics coordinator is tracking a shipment that weighs 20 tons. If 14.65 tons are unloaded, the coordinator must subtract the weights to find the remainder. According to the standard decimal subtraction procedure, how should the whole number 20 be rewritten to properly align with the decimal places in 14.65?
Source of Regrouping in Decimal Subtraction
An office manager is calculating the remaining balance of a $20 petty cash fund after a $14.65 expense. True or False: To perform this subtraction using the standard decimal procedure, the manager should first rewrite the whole number 20 as 20.00 to ensure the decimal points are properly aligned.
A supply manager is reconciling a $20 budget after an office purchase of $14.65. To calculate the remaining balance using the standard decimal subtraction procedure, match each procedural term with its correct description.
A procurement officer is reconciling a budget by subtracting a $14.65 service fee from a $20 initial balance. To correctly align the numbers for the decimal subtraction procedure, the officer must append a decimal point and two __________ zeros to the whole number 20.
Accounting Alignment Protocol
Manual Reconciliation of Petty Cash
An accountant is manually subtracting a $14.65 tax from a $20 service fee. According to the decimal subtraction procedure, which digit from the $20 fee should be directly aligned above the '4' in $14.65?
A retail associate is processing a refund for an item costing $14.65 from a $20 bill. To set up the subtraction manually using the standard decimal procedure, the associate rewrites the whole number 20 as 20.00. Which of the following best explains why this step is mathematically valid?