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Simplifying
To simplify an expression mixing division, multiplication, and addition, the order of operations requires completing the division and multiplication left-to-right before adding:
- Divide first (left to right): The division is on the left, so perform it first: (different signs produce a negative quotient). The expression becomes .
- Multiply: Compute the multiplication next: (same signs produce a positive product). The expression becomes .
- Add: Compute the final sum: .
The final result is .
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Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
Algebra
Related
A logistics coordinator is calculating a shipping adjustment using the expression -30 / 2 + (-3)(-7). According to the standard order of operations, which part of the expression should be evaluated first?
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Inventory Adjustment Calculation
A logistics coordinator is reconciling a shipping ledger using the expression . According to the standard order of operations, because division and multiplication have equal priority, they must be evaluated in order from ____ to right.
Order of Operations Priority Rule
Ledger Reconciliation Protocol
Simplifying
A warehouse supervisor is reconciling a shipment manifest and uses the following formula to determine the net adjustment to the inventory: . What is the final numerical result of this adjustment?
A quality control specialist is calculating a deviation score using the expression . According to the standard order of operations, which operation in this expression should be performed last?
Simplifying
Learn After
A logistics coordinator is reviewing a shipping budget adjustment expressed as . According to the order of operations, which calculation must be performed first to correctly simplify this expression?
A sustainability officer is calculating a facility's net carbon offset using the expression . Match each part of the simplifying process with its correct numerical value based on the order of operations.
An operations manager is calculating a net resource adjustment represented by the expression . Arrange the following steps in the correct order to simplify this expression according to the order of operations.
A retail manager is reconciling a store's daily ledger using the expression . After correctly performing the division and multiplication steps, the manager simplifies the expression to the final addition: . The final reconciled value is ____.
A financial clerk is calculating a net account adjustment represented by the expression . True or False: According to the standard order of operations, the clerk should first add 4 and -2 together before performing the division and multiplication.