1Cademy - Simplifying $$4 - (-19)$$ and $$-4 - (-7)$$ by Adding the Opposite

Learn Before

Subtracting a Negative Integer

Example

Simplifying $4 - (-19)$ and $-4 - (-7)$ by Adding the Opposite

These paired computations confirm that subtracting a negative integer always produces the same result as adding the corresponding positive number:

$4 - (-19) = 23$ and $4 + 19 = 23$ : Both expressions evaluate to $23$ , verifying that $4 - (-19) = 4 + 19$ .
$-4 - (-7) = 3$ and $-4 + 7 = 3$ : Both expressions evaluate to $3$ , verifying that $-4 - (-7) = -4 + 7$ .

Updated 2026-05-25

Contributors are:

Who are from:

References

OpenStax Intermediate Algebra

Tags

OpenStax

Intermediate Algebra @ OpenStax

Ch.1 Foundations - Intermediate Algebra @ OpenStax

Algebra

Equivalence of $8 - (-5) $and $8 + 5$ Using Counters
Simplifying $7 - (-4 - 3) - 9$
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 $9 - (-15)$ and $-7 - (-4)$ 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 $4 - (-19)$ and $-4 - (-7)$ by Adding the Opposite

Learn After

When auditing a corporate expense report, an accountant needs to remove a mistaken deduction of 19 dollars from a positive balance of 4 dollars. The software calculates this removal as ${}4 - (-19)$ . Based on the rule for subtracting negative numbers, which expression shows the correct way to rewrite this computation by adding the opposite?
In a corporate accounting ledger, removing a previous loss of $-7$ units from an account that is already $-4$ units in deficit is represented by the expression $-4 - (-7)$ . True or False: According to the 'adding the opposite' rule, this expression is equivalent to $-4 + 7$ .
In a corporate accounting department, technicians simplify adjustments by 'adding the opposite.' Match each subtraction expression with its equivalent addition expression according to this rule.
An inventory control specialist is adjusting a stock record. A previously removed batch of 19 units was mistakenly logged as a negative correction, so it must now be subtracted from the current count of 4 units. This is represented by the expression ${}4 - (-19)$ . Arrange the steps in the correct order to simplify this calculation using the 'adding the opposite' rule.
Corporate Ledger Adjustment

Learn Before

Related

Learn After