Learn Before
Subtracting and with Counters
Apply the take-away model of subtraction using counters to a pair of same-sign problems:
- : Start with positives and take away positives. Two positives remain, giving a result of .
- : Start with negatives and take away negatives. Two negatives remain, giving a result of .
As with the earlier and examples, the structure is the same in both cases: remove counters of the same color from a larger collection of that color. The answer carries the sign of the counters that are left.
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Elementary Algebra @ OpenStax
Ch.1 Foundations - Elementary Algebra @ OpenStax
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An inventory manager uses red chips to represent stock deficits. To solve the problem -7 - (-3) using the 'take-away' model, the manager starts by placing 7 red chips on a desk. According to this specific model, what is the next step to determine the final balance?
A logistics coordinator uses the 'take-away' model to manage freezer inventory. To represent a temperature adjustment of 'subtracting -5 from -12', they start with 12 red counters. According to this specific model, what is the next step and the final result?
A warehouse manager uses red counters to represent backordered items (deficits). To process a cancellation of 4 backordered items from an initial batch of 10 backordered items, the manager uses the expression -10 - (-4). Arrange the steps of the 'take-away' model in the correct order to find the new total of backordered items.
A billing clerk uses the 'take-away' model to visualize account adjustments. To solve the expression -15 - (-6), the clerk starts with 15 red counters (representing the initial deficit) and then removes 6 of those red counters.
A Laboratory Technician uses the 'take-away' model to visualize temperature adjustments relative to a baseline. In this model, blue counters represent positive deviations and red counters represent negative deviations. Match each subtraction expression to the correct initial setup and action used to find the result.
Inventory Adjustments using the Take-Away Model
Inventory Shortage Adjustment
Visualizing Budget Reductions with the Take-Away Model
A logistics coordinator uses red counters to represent minutes of delivery delays. To model the expression using the 'take-away' model, the coordinator starts with 14 red counters and removes ____ red counters.
Subtraction Property of Integers
A corporate trainer is using the 'take-away' model to help employees visualize budget changes. When subtracting integers that have the same sign (such as ), what is the primary reason that neutral pairs are not required to find the answer according to this specific model?
Subtracting and with Counters
Subtracting and with Counters
Subtracting and with Counters
Learn After
A logistics coordinator uses negative counters to represent pending export containers in a shipping yard. If there are 7 pending containers (represented as -7) and 5 of those containers are removed from the pending list (subtracting -5) after they are loaded onto a ship, what is the resulting value of pending containers according to the take-away model?
A quality control technician uses negative counters to represent defects in a production batch. If there are 7 defects (represented as -7) and 5 of those defects are removed from the count after being repaired (subtracting -5), the take-away model shows that the number of negative counters remaining is ____.
A store manager is using the take-away model of counters to train employees on how to visualize stock adjustments. Match each subtraction problem with the correct description of the process used to solve it under this model.
A facilities manager is tracking 'out-of-service' elevators using negative counters. There are 7 elevators out of service (represented as -7), and 5 of them are repaired and returned to service (represented as subtracting -5). Arrange the following steps in the correct order to find the remaining number of out-of-service elevators using the take-away model.
In a workplace training on mental models, a safety auditor uses the take-away model to visualize subtraction. True or False: According to this model, the calculation is performed by starting with a collection of 7 negative counters and removing 5 of them, following the same structural procedure used to solve $7 - 5$.
Visualizing Safety Improvements with the Take-Away Model
Visualizing Financial Shifts with the Take-Away Model
Professional Training: Explaining the Take-Away Model
In a corporate training session on mental models, employees are taught to use the take-away model for subtraction. When comparing the problems $7 - 5-7 - (-5)$, which statement accurately describes the shared procedure used to solve both according to this model?
A warehouse manager uses the take-away model of counters to visualize inventory adjustments. A surplus of items is represented by positive counters, while a deficit is represented by negative counters. According to this model, what are the specific results of reducing a surplus of 7 items by 5 ($7 - 5) and reducing a deficit of 7 items by 5 (-7 - (-5)$)?