The statement 644 > 325 is true. (Right choice: A)
In this question we find four possible inequalities involving rational numbers, whose nature has to be checked by using algebra properties:
Case 1
23 / 13 > 25 / 28 Given
23 · 28 > 25 · 13 Associative property / Existence of multiplicative inverse / Modulative property
644 > 325 (TRUE) Definition of multiplication / Result
Case 2
21 / 45 < 4 / 9 Given
21 · 9 < 4 · 45 Associative property / Existence of multiplicative inverse / Modulative property
189 < 180 (FALSE) Definition of multiplication / Result
Case 3
5 / 6 > 11 / 12 Given
5 · 12 > 11 · 6 Associative property / Existence of multiplicative inverse / Modulative property
60 > 66 (FALSE) Definition of multiplication / Result
Case 4
4 / 5 < 8 / 25 Given
4 · 25 < 8 · 5 Associative property / Existence of multiplicative inverse / Modulative property
100 < 40 (FALSE) Definition of multiplication / Result
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