Learn Before
Subtracting $5 - 3-5 - (-3)$ with Counters
Using the counter model to visualize subtraction when both numbers share the same sign:
- **$5 - 3 = 2{5}{3}{2}$.
- : Begin with negative (red) counters. "Take away" of them. Two negative counters remain, so the difference is .
Both problems follow an identical pattern: start with counters of one color, remove of the same color, and counters are left. The sign of the result matches the sign of the counters that remain. Because only one color of counter appears in each problem, no neutral pairs are formed and the take-away interpretation applies directly.
0
1
Tags
OpenStax
Elementary Algebra @ OpenStax
Ch.1 Foundations - Elementary Algebra @ OpenStax
Algebra
Math
Prealgebra
Related
Subtracting $5 - 3-5 - (-3)$ with Counters
Subtracting $7 - 5-7 - (-5)$
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
Subtracting and with Counters
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?
Learn After
In a visual counter model used for accounting, a debt of 5 dollars is represented by 5 red counters. If you subtract a debt of 3 dollars by removing 3 of those red counters, what is the result?
A small business owner uses red counters to represent negative balances in an expense log. To model the subtraction of a three-dollar refund from a five-dollar debt, represented by the expression -5 - (-3), arrange the steps of the counter model in the correct chronological order.
In a financial training module, a participant uses red counters to represent liabilities. To model the expression -5 - (-3), which represents a reduction in liabilities, the participant starts with 5 red counters and then ____ 3 of them to determine the new balance.
In a workplace inventory audit, blue counters represent items in stock (assets) and red counters represent backordered items (liabilities). Match each mathematical expression or result with the corresponding action or state in the counter model.
Inventory Discrepancy Modeling
In a logistics tracking system where red counters represent delayed shipments, modeling the expression -5 - (-3) using the counter model requires the supervisor to first add 3 blue counters to create neutral pairs before any red counters can be removed.
Visualizing Inventory Shortages
Documenting Visual Math Procedures for Inventory Tracking
In a corporate budget training session, employees use blue counters to represent credits and red counters to represent debits. When using the counter model to visualize both $5 - 3-5 - (-3)$, what procedural step is identical for both expressions?
In a corporate logistics training module, employees use a counter model where blue represents assets (positive values) and red represents liabilities (negative values). To model the subtraction expression , which represents the removal of 3 liabilities from an existing set of 5, what is the required starting configuration of the model?