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Simplifying
To simplify an expression containing division, multiplication, and addition without grouping symbols, apply the order of operations by performing all multiplication and division from left to right before adding:
- Divide first (left to right): Since division is the leftmost operation, perform it first: (dividing numbers with different signs produces a negative quotient). The expression becomes .
- Multiply: Next, compute the multiplication: (multiplying numbers with the same signs yields a positive product). The expression becomes .
- Add: Finally, add the integers: .
The final result is . This example demonstrates that multiplication and division have the same precedence and must be executed strictly from left to right before resolving any addition.
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Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
Algebra
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