Problem 9 of 7
Determine whether sum -2.3 + 1/5 of rational numbers is rational.
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apply closure of rationals under addition.
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Both addends must be rational numbers or symbolic rationals with nonzero denominators.
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Solution
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1. Identify both terms as rational.
2. Use closure: sum of rational numbers is rational.
3. If needed, write a common-denominator expression.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Requiring decimal termination for rationality.