verify associative property and distributive property of multiplication over subtraction for the rational number
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verify associative property and distributive property of multiplication over subtraction for the rational number
- Given 3 rational numbers – 8 / 17, 1/3 , 2/5
- So a = - 8/17, b = 1/3 c = 2/5
- Now distributive property of multiplication over subtraction will be
- So a(b – c) = ab – ac
- So – 8/17 (1/3 – 2/5) = (-8/17)(1/3) – (-8/17)(2/5)
- So – 8/17 (5 – 6 / 15) = (- 8/51) – (-16/85)
- So – 8/17 (- 1/15) = (-8/5) – (-16 / 85)
- So 8 / 255 = - 40 + 48 / 255
- Or 8/255 = 8/255 (verified)
- Now for associative property we have
- (a x b) x c = a x (b x c)
- (- 8/17 x 1/3) x 2/5 = - 8/17 x (1/3 x 2/5)
- So – 16 / 255 = - 16 / 255 (verified)
Reference link will be
https://brainly.in/question/3702012
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