Concept explainers
To find relatively prime pairs from the given numbers.
Answer to Problem 2E
5 and 16; 16 and 25
Explanation of Solution
Given Information: 5, 10, 16, 25
Formula Used: Two integers are said to be co-prime (or relatively prime) if they do not share a common divisor different than 1.
Calculation:
To make a co-prime pair from 5, 10, 16 and 25, it can be seen that 5 can only form a pair with 16.
Also, 16 can only form a pair with 25.
10 and 16 cannot pair as they have a common factor i.e. 2. Also 5 and 10 cannot pair as they too have a common factor 5 with them. Both of them have a common factor excluding 1, hence, they are not relatively prime.
Therefore, the two pairs of co-primes are: 5-16 and 16-25
Chapter 4 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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