DP Mathematics HL Questionbank

• Syllabus

8.5

Sub sections and their related questions

Binary operations: associative, distributive and commutative properties.

• 12N.3srg.hl.TZ0.4d: Show that the binary operation \( * \) is commutative on G .
• 12N.3srg.hl.TZ0.4e: Show that the binary operation \( * \) is associative on G .
• 12N.3srg.hl.TZ0.4g: Show that G is closed under \( * \).
• 09N.3srg.hl.TZ0.1: The binary operation \( * \) is defined on the set S = {0, 1, 2, 3}...
• SPNone.3srg.hl.TZ0.2a: \( \odot \) is commutative;
• SPNone.3srg.hl.TZ0.2b: \( * \) is associative;
• SPNone.3srg.hl.TZ0.2c: \( * \) is distributive over \( \odot \) ;
• 13M.3srg.hl.TZ0.1b: is commutative;
• 13M.3srg.hl.TZ0.1c: is associative;
• 14M.3srg.hl.TZ0.1: The binary operation \(\Delta\) is defined on the set \(S =\) {1, 2, 3, 4, 5} by the following...