Learn Before
Evaluating
To evaluate the expression , first determine the sign. Since a larger magnitude number is being subtracted from a smaller one, the difference will be negative. To compute the value, subtract the smaller number from the larger (). Since is a whole number, place a decimal point after the and use zeroes as placeholders to make it . Aligning the decimal points vertically, subtract from as if they were whole numbers, which yields . Finally, write the result with the correct negative sign. Therefore, .
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Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
Algebra
Related
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 is reconciling a petty cash account that has a balance of . A final expense of is recorded. What is the new balance after evaluating the expression ?
A retail associate is processing a transaction for a customer who has a credit balance of . The customer makes a purchase of , and the associate must evaluate the expression to determine the new balance. Arrange the following steps in the correct order to evaluate this expression using the standard procedure.
A laboratory technician is monitoring a temperature-controlled chamber currently set to . A new protocol requires the temperature to be lowered by . True or False: Evaluating the expression to determine the new temperature setting yields a result of .
Account Balance Reconciliation
An inventory manager is reconciling a stock ledger that shows a credit of . After a deduction of is applied, the manager evaluates the expression . Match each part of the evaluation process with its corresponding value or description.