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Simplifying and Using the Subtraction Property
Applying the subtraction property verifies that subtracting a number yields the identical result as adding its opposite:
- and : Both expressions produce , confirming that .
- and : Both expressions produce , confirming that .
These paired examples reinforce that the property is valid whether the initial number is positive or negative.
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Ch.1 Foundations - Intermediate Algebra @ OpenStax
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A financial analyst records a 9,000 dollar expense for a department already 17,000 dollars over budget (represented as -17). The total change is written as -17 - 9. According to the Subtraction Property, which expression is equivalent to -17 - 9?
In professional bookkeeping, subtraction is often converted to the addition of a negative value to simplify ledger entries. Match each subtraction expression with its equivalent addition expression according to the Subtraction Property.
A retail associate is processing a return. The original sale was 13 items, and 8 items are being returned. To use the Subtraction Property to find the new total, the associate rewrites the subtraction 13 - 8 as the addition expression 13 + ____.
In a professional laboratory setting, a technician recording a temperature drop of 9 degrees from an initial reading of -17 degrees writes the calculation as . According to the Subtraction Property, this expression will yield the exact same result as the addition expression .
A warehouse supervisor is verifying a stock reduction of 8 units from an initial batch of 13 units. Arrange the steps below in the correct order to rewrite the subtraction calculation $13 - 8$ as an equivalent addition expression using the Subtraction Property.
Applying the Subtraction Property to Budget Deficits
Verifying Technical Adjustment Formulas
Standardizing Audit Procedures via the Subtraction Property
Simplifying and Using the Subtraction Property
A drone pilot is monitoring a drone's altitude relative to a cliff edge, currently at 17 meters below the edge (represented as -17). The pilot lowers the drone by another 9 meters, which is written as the subtraction -17 - 9. According to the Subtraction Property, this is equivalent to the addition expression -17 + (-9). What is the drone's new altitude relative to the cliff edge?
A systems administrator is lowering a server's cooling threshold from 13 degrees by 8 degrees. To verify the change using the Subtraction Property, the administrator evaluates both $13 - 8 and $13 + (-8). According to this property, which statement correctly reflects the results of these evaluations?
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A logistics manager is adjusting warehouse inventory levels to account for outgoing shipments and returned items. To verify the ledger entries, the manager uses the subtraction property, which states that subtracting a number is equivalent to adding its opposite (). Match each subtraction expression or scenario with its equivalent addition form or numerical result.
A project manager is reviewing a budget spreadsheet where a department has a deficit of 11 dollars, recorded as -11. The manager needs to subtract an additional 7 dollar expense, which is represented by the expression -11 - 7. According to the subtraction property (), which addition expression is equivalent to this calculation?
A retail manager is reconciling a cash register that started with a balance of 21. After a payout of 13 is recorded as a subtraction (), the manager verifies the entry using the subtraction property, which states that subtracting a number is the same as adding its opposite. To rewrite the expression using this property, complete the equivalent addition expression: ____.
In a corporate accounting department, a specialist is reconciling ledger adjustments using the subtraction property, which states that subtracting a number is the same as adding its opposite (). True or False: According to this property, the expression is equivalent to , and the expression is equivalent to .
Documenting the Subtraction Property for Account Reconciliation