Subtracting and with Counters
The take-away model of subtraction is applicable when the signs of the two numbers are identical, as no neutral pairs need to be introduced.
- For , start with positive counters. Taking away positive counters leaves positive counters, showing that .
- For , start with negative counters. Taking away negative counters leaves negative counters, showing that . These examples provide additional reinforcement that removing counters of the same color from a larger collection straightforwardly aligns with the standard arithmetic rules for numbers with identical signs.
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Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
Algebra
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A tutor is demonstrating the 'take-away' model with counters to solve the subtraction problem . Match each stage of the process with its corresponding action.
In a corporate accounting workshop, trainers use red tokens as negative counters to represent debts and liabilities. To demonstrate the subtraction problem using the take-away model, which sequence of actions should a trainee recall?
In an inventory management simulation, a manager uses negative counters to represent backordered items. To model the subtraction (representing the removal of 4 backordered units from an initial 7) using the 'take-away' method, arrange the following steps in the correct chronological order.
Applying the Take-Away Model to Inventory Shortages
In a corporate safety training, red tokens represent negative values (violations). To demonstrate the subtraction expression using the 'take-away' model, a trainee starts with 7 red tokens and then removes ____ red tokens.
During a financial operations training session, an instructor uses red tokens to represent negative values, such as corporate debts. When using the take-away model to demonstrate the subtraction , the instructor must introduce neutral pairs before removing any tokens.
Recalling the Take-Away Subtraction Model with Counters