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Multiplication by
Multiplying any number by yields the opposite of that number. Mathematically, this property is expressed as .
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OpenStax
Intermediate Algebra @ OpenStax
Algebra
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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 retail associate is processing a customer return. To change the original purchase price into a refund amount, the associate's software multiplies the price by . According to the mathematical property of multiplication by , what is the simplified result of this calculation?
A logistics coordinator uses an inventory spreadsheet to track outgoing shipments. To represent the removal of items from stock, the coordinator multiplies the shipment quantity, , by . According to the mathematical property of multiplication by , the simplified algebraic result of the expression is ____.
Match each expression involving the property of multiplication by with its simplified result.
Inventory Adjustment Formula
An accounting associate is writing a spreadsheet formula to reverse an overcharge amount, . According to the property of multiplication, multiplying the amount by yields the reciprocal of that amount.
Reversing Values in Bookkeeping
An office administrator is setting up a billing spreadsheet to process customer refunds. To convert an original purchase charge into a refund or credit, the spreadsheet multiplies the charge by under the hood. Arrange the following steps in the correct order to represent the sequence of applying this mathematical property to find the simplified algebraic result of the refund.