Translating and Simplifying 'the sum of and , increased by '
To translate and simplify the English phrase "the sum of and , increased by ," first convert the wording into an algebraic expression. The keyword "sum" indicates that the first two numbers should be added together, so they are grouped as and . The phrase "increased by" indicates that should be added to the result of that sum. Using brackets to enforce the correct order of operations, the translation is:
To simplify the expression, perform the addition within the brackets first. Adding two negative integers involves adding their absolute values () and retaining the shared negative sign, resulting in . Then, add the remaining term: . Since these numbers have different signs, subtract their absolute values () and apply the sign of the number with the greater absolute value. The simplified answer is .
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Ch.1 Foundations - Intermediate Algebra @ OpenStax
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A logistics coordinator is adjusting a shipping manifest. They need to record 'the sum of 8 and -12, increased by 3' to determine the final inventory adjustment. Which expression represents this calculation?
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Translating and Simplifying 'the sum of and , increased by '
Translating and Simplifying 'the sum of and , increased by '
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