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Question
Which of the following expressions shows that rational numbers are associative under multiplication?
Options
`2/3 xx ((-6)/7 xx 3/5) = (2/3 xx (-6)/7) xx 3/5`
`2/3 xx ((-6)/7 xx 3/5) = 2/3 xx (3/5 xx (-6)/7)`
`2/3 xx ((-6)/7 xx 3/5) = (3/5 xx 2/3) xx (-6)/7`
`(2/3 xx (-6)/7) xx 3/5 = ((-6)/7 xx 2/3) xx 3/5`
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Solution
`bb(2/3 xx ((-6)/7 xx 3/5) = (2/3 xx (-6)/7) xx 3/5)`
Explanation:
For assocatve multiplication property - a × (b × c) = (a × b) × c
Let a = `2/3`, b = `(-6)/7`, c = `3/5`
`2/3 xx (-18)/35 = (-12)/21 xx 3/5`
`(-12)/35 = (-12)/35` Proved.
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