Learn Before
Multiplying , , , and
Apply the sign rules for integer multiplication to evaluate each product:
- : The factors have different signs (negative and positive), so the product is negative.
- : The factors have the same sign (both negative), so the product is positive.
- : The factors have different signs (positive and negative), so the product is negative.
- : The factors have the same sign (both positive), so the product is positive.
In each case, the first step is to identify whether the two factors share the same sign or have different signs. That determination alone fixes the sign of the answer; the numerical value is then found by multiplying the absolute values.
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Related
Interpreting Integer Multiplication as Repeated Addition
Multiplying , , , and
Dividing Integers
Procedure for Multiplying Decimals
A payroll administrator is correcting a clerical error by removing 5 previous overpayment deductions from an employee's account. This is represented mathematically by multiplying -5 (the quantity removed) by -50 (the value of the deduction). According to the rules for multiplying integers, what is the sign of the resulting product?
An accounting clerk is reviewing adjustments in a corporate ledger. In finance, signs often indicate the direction of the transaction. Match each multiplication scenario with the correct sign of the resulting product.
When an analyst reverses a series of negative adjustments in a budget, they multiply two negative integers. According to the rules of multiplication, the sign of the resulting product is ____.
In a warehouse management system, multiplying a positive integer (representing the number of outgoing shipments) by a negative integer (representing the weight reduction per shipment) results in a positive product.
Multiplicative Sign Rules in Auditing
Standard Operating Procedures for Sign Reconciliation
Training Manual: Integer Multiplication Signage Standards
In a corporate accounting department, a 'reversal' of a 'negative adjustment' requires multiplying two negative integers. Arrange the following steps in the correct order to determine the final product of this calculation according to the standard sign-rule protocol.
A software developer is auditing a billing system that calculates bulk discounts. The system is programmed to multiply a 'Discount Value' (represented as a negative integer) by the 'Quantity of Items.' According to the fundamental rules of integer multiplication, if the 'Quantity of Items' is 0, what must the resulting product be?
A safety inspector is recording data for a facility audit. The inspector must multiply a 'Positive Frequency' (the number of times a safety check was successfully performed) by a 'Negative Variance' (the penalty value for each missed safety step). According to the fundamental rules of integer multiplication, the product of a positive factor and a negative factor is always:
Multiplication by
Simplifying and
Learn After
A financial clerk is reversing two separate $5 charges by calculating the product of -2 and -5. According to the sign rules for integer multiplication, which statement correctly describes the result?
An accounting clerk is reviewing various ledger adjustments. Match each transaction description with its correct numerical result based on the rules of integer multiplication.
A technician is monitoring a cooling system where the temperature drops 9 degrees every hour. To find the total change after 3 hours, the technician multiplies -9 by 3. According to the sign rules for multiplication, the sign of the resulting product will be ____.
Calculating Total Schedule Delay
An operations manager is training a new clerk to evaluate numerical adjustments like and $4(-8)$. Arrange the following steps in the correct order to calculate these products according to the sign rules for integer multiplication.
In a business ledger, if a manager evaluates a transaction involving a positive number of units and a negative price adjustment, such as $4(-8)$, the rules for integer multiplication dictate that the resulting product will be negative because the factors have different signs.
Quality Assurance: Multiplication Sign Protocol
Accounting Protocol: Sign Rules for Integer Multiplication
A project manager is calculating the total labor hours for a task that requires 7 workers to each work 6 hours. According to the sign rules for integer multiplication, what is the result of evaluating the product $7 \cdot 6$?
A warehouse manager is auditing 3 separate shipments that were each missing 9 items. In the inventory system, each missing quantity is recorded as -9. To find the total adjustment for these 3 shipments, the manager evaluates the product . According to the sign rules for integer multiplication, what is the result?