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junior1391
junior1391
18.11.2020 • 
Mathematics

Priscilla is investigating the values of (5r)(5s) and (5r)s where r and s are nonzero integers. She makes the following claims. Claim 1: When r is a negative integer and s is a positive integer, the value of (5r)(5s) can never be a whole number. For example, the value of (5−5)(53) is 0.04. Claim 2: When r is a negative integer and s is a positive integer, the value of (5r)s can never be a whole number. For example, the value of (5−4)1 is 0.0016. Which statement correctly classifies Priscilla's claims? Priscilla is correct in both claims as the provided example proves each associated claim. Priscilla is incorrect in both claims since the provided example is not sufficient to prove each associated claim. Priscilla is correct in Claim 1 but is incorrect in Claim 2 as the value of (5r)s can be a whole number when r is negative and s is positive. Priscilla is incorrect in Claim 1 as the value of (5r)(5s) can be a whole number when r is negative and s is positive but is correct in Claim 2.

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