Learn Before
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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Subtracting and with Counters
Subtracting and with Counters
In a warehouse inventory training simulation, a trainee uses blue counters to represent surplus items and red counters to represent backordered items (deficits). To model the process of reducing a 3-unit backorder by 1 unit, which corresponds to the expression , what specific action should the trainee perform according to the counter model?
In a corporate logistics center, a 'Visual Inventory Board' uses blue counters to represent a surplus of items (positive) and red counters to represent backordered items (negative). Match each mathematical expression representing a change in inventory with the correct procedure required to model it using the two-color counter method.
In a warehouse inventory simulation, a supervisor uses red counters to represent a shortage of parts. To model the mathematical expression using this system, the supervisor starts with 3 red counters on the tracking board and must remove ____ (number) red counter(s) to find the remaining shortage.
A budget analyst uses a visual dashboard where red counters represent departmental deficits in thousands of dollars. To model the mathematical expression (representing the reduction of a 3-unit deficit by 1 unit), arrange the following steps in the correct order according to the counter model.
In a professional inventory training module where blue counters represent surplus stock, the mathematical expression is correctly modeled by starting with 3 blue counters and removing 1 blue counter from the display.
Learn After
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.