Learn Before
Subtracting a Negative Integer
When a negative number is subtracted, the subtraction property converts the expression into the addition of a positive number:
In other words, subtracting a negative is equivalent to adding a positive. This follows from the general rule : substituting for the number being subtracted gives , because the opposite of a negative is positive. For example, $8 - (-5) = 8 + 5 = 13$. This result often surprises students — removing a negative quantity actually increases the overall value.
0
1
Tags
OpenStax
Elementary Algebra @ OpenStax
Ch.1 Foundations - Elementary Algebra @ OpenStax
Algebra
Math
Ch.6 Polynomials - Elementary Algebra @ OpenStax
Prealgebra
Related
Subtracting a Negative Integer
Subtract or Add Strategy in the Counter Model for Integer Subtraction
A technician is adjusting the calibration of a sensor. The current setting is 'x' and it needs to be reduced by 'y' units. According to the Subtraction Property of Integers, which expression correctly represents this reduction as an addition problem?
A logistics coordinator is tracking a decrease in fuel levels. To apply the Subtraction Property of Integers to the calculation 'Current Fuel - 120', the coordinator rewrites the expression as an addition. Complete the rewritten expression: Current Fuel + ____.
A data analyst is writing a script to normalize financial adjustments in a company ledger. The script must convert all subtraction operations into addition operations using the Subtraction Property of Integers. Match each subtraction expression with its mathematically equivalent addition expression.
A financial auditor is reviewing a series of account adjustments and needs to apply the Subtraction Property of Integers to simplify the calculations. True or False: According to this property, the subtraction expression $500 - 150 can be rewritten as the addition expression $500 + (-150).
A technician is updating a climate control system's log. The system requires all temperature adjustments to be recorded as addition problems. To convert the subtraction $20 - 25$ into an equivalent addition expression using the Subtraction Property of Integers, arrange the following steps in the correct order.
Technical Documentation: Subtraction Property of Integers
Inventory Adjustment Protocols
Corporate Training: Integer Subtraction Standards
Simplifying and Using the Subtraction Property
A software developer is writing a technical specification for a new financial application. The documentation must include the 'Subtraction Property of Integers' as the standard rule for processing adjustments. Which of the following formulas correctly represents this property?
A billing department's standard operating procedure requires that all subtraction adjustments be converted into addition expressions for auditing purposes. According to the Subtraction Property of Integers, which rule must a clerk follow to correctly perform this conversion?
Simplifying and Using the Subtraction Property
Learn After
Equivalence of $8 - (-5) and $8 + 5 Using Counters
Simplifying
In a business spreadsheet, when you subtract a negative value from a total balance, which mathematical operation is equivalent to this action?
When performing a budget reconciliation in a corporate accounting system, the rule for subtracting a negative integer states that subtracting a negative value is equivalent to ____ a positive value.
Accounting Script Documentation
In a corporate ledger, subtracting a negative integer (such as removing a debt adjustment) from a total balance will result in a final value that is less than the starting balance.
In a professional financial context, match each description or expression regarding negative integer adjustments with its mathematically equivalent action or result.
A budget analyst is correcting a ledger where a 'negative expense' (representing a refund) of -$500 was subtracted from the total costs. Arrange the steps below in the correct logical order to show how the analyst transforms this subtraction of a negative integer into an addition problem.
Professional Documentation: The Rule for Subtracting Negative Integers
Inventory Audit: Correcting Negative Adjustments
Simplifying and by Adding the Opposite
In a professional laboratory, a precision sensor shows a 'negative bias' of -8 units. A technician needs to 'subtract' this -8 unit bias from the current reading to normalize the data. According to the mathematical rule for subtracting negative integers, which of the following actions is equivalent to this subtraction?
A software engineer is drafting the technical requirements for a database update script that must process 'debt reversal' entries. According to the standard mathematical rule for subtracting a negative integer, which of the following algebraic identities correctly represents this operation for the developer to include in the script documentation?
Simplifying and by Adding the Opposite