Learn Before
Dividing and
Apply the sign rules for integer division to evaluate each quotient:
- : The dividend is negative and the divisor is positive—different signs—so the quotient is negative. Dividing the absolute values gives , and attaching the negative sign yields .
- : The dividend and divisor are both negative—same signs—so the quotient is positive. Dividing the absolute values gives .
In each case, first determine whether the two numbers share the same sign or have different signs; that alone fixes the sign of the answer. Then divide the absolute values to find the numerical result. Each answer can be verified by multiplying: and .
0
1
Tags
OpenStax
Elementary Algebra @ OpenStax
Ch.1 Foundations - Elementary Algebra @ OpenStax
Algebra
Math
Prealgebra
Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
Related
Dividing and
Procedure for Dividing Decimals
A payroll administrator is correcting an overpayment error by dividing a total negative adjustment by the number of pay periods remaining in the year (a positive integer). Which rule of integer division correctly identifies the sign of the resulting adjustment per pay period?
In a corporate accounting environment, understanding the rules of integer division is essential for accurate reporting. Match each financial division scenario with its correct mathematical outcome.
In a professional data report, if a formula attempts to divide a total revenue figure by a transaction count of zero, the result is mathematically ____.
In a professional data analysis scenario, dividing a negative integer by another negative integer always results in a positive quotient.
Dividing Zero in Workplace Allocations
A logistics coordinator is distributing a total shipping credit of $1,500 (recorded as -1500) equally across 5 client accounts. Arrange the following steps in the correct logical order to determine and verify the credit amount per account using the rules of integer division.
Algorithm Verification using Inverse Operations
Professional Reference Guide: Integer Division Rules
A database administrator is configuring a new 'Unit Cost' field in a financial reporting tool. To ensure the calculation logic is documented correctly, match each mathematical term to its corresponding role in the division formula.
Multiplying and Dividing , , , and
In a professional auditing scenario, an analyst must verify the result of a division calculation by using its inverse operation. To confirm the quotient is accurate, which value should be multiplied by the quotient to see if the original dividend is recovered?
Multiplication and Division of Signed Numbers
Readiness Quiz: Simplifying Fractions with Negative Numbers
Learn After
A payroll clerk is processing adjustments and needs to calculate the results of two specific entries: -27 divided by 3 and -100 divided by -4. Based on the rules for integer division, what are the correct quotients for these entries?
A payroll specialist is calculating adjustments for a company's quarterly report. Match each division expression to the correct numerical quotient that should be recorded in the ledger.
A quality control inspector is calculating the average deviation across several batches. If the total deviation is -100 units and it is divided by a negative adjustment factor of -4, the resulting quotient is ____.
A payroll specialist is reviewing two ledger adjustments: -27 divided by 3 and -100 divided by -4. True or False: According to the rules for integer division, the first adjustment results in a negative quotient (-9) because the signs are different, while the second adjustment results in a positive quotient (25) because the signs are the same.
A payroll specialist is training a new clerk on how to record ledger adjustments. To correctly evaluate the quotients for the expressions and , arrange the following steps in the correct order according to the sign rules for integer division.
Logistics Discrepancy Report Sign Rules
Sign Rule Application in Financial Auditing
Inventory and Variance Reconciliation
A logistics supervisor is analyzing cargo weight adjustments. They need to calculate a total weight reduction of 27 tons (represented as -27) divided among 3 shipping vessels, and a balance correction of -100 tons divided by a negative scale factor of -4. What are the resulting quotients for these two adjustments?
An environmental analyst is reviewing a sustainability report that includes several ledger adjustments. Match each division calculation or verification step to its correct evaluation according to the sign rules for integers.