Verify associative and distributive property of multiplication over subtraction between 1/3 ,2/5, - 3/17
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Given Verify associative and distributive property of multiplication over subtraction between 1/3 ,2/5, - 3/17
- Given 3 rational numbers – 3 / 17, 1/3 , 2/5
- So a = - 3/17, b = 1/3 c = 2/5
- Now distributive property of multiplication over subtraction will be
- So a(b – c) = ab – ac
- So – 3/17 (1/3 – 2/5) = (-3/17)(1/3) – (-3/17)(2/5)
- So – 3/17 (5 – 6 / 15) = (- 3/51) – (-6/85)
- So – 3/17 (- 1/15) = (-3/51) – (-6 / 85)
- So 3 / 255 = - 15 + 18 / 255
- Or 3/255 = 3/255
- Now for associative property we have
- (a x b) x c = a x (b x c)
- (- 3/17 x 1/3) x 2/5 = - 3/17 x (1/3 x 2/5)
- So – 6 / 255 = - 6 / 255
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