Math, asked by dhanusreesuresh14, 1 month ago

Vertify the Associative property for multiplication for the rational numbers -7/9 , 5/6 and -4/3​

Answers

Answered by MissCrispello
1

Answer:

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Answered by ᎮѕуcнσAεѕтнεтíc
6

Answer:

Let,

a = -7/9 , b = 5/6 and c = -4/3

a+b = -7/9 + 5/6 = -14+15/18 = 1/18

(a+b) + c = 1/18 + -4/3 = 1 – 24/18 = -23/18

b+c = 5/6 + -4/3 = 5-8/6 = -3/6 = -1/2

a + (b+c) = -7/9 + -1/2 = -14-9/18 = -23/18

∴ Associative property satisfied for addition.

Now,

a × (b×c) = -7/9 × (5/6 × -4/3) l= -7/9 × (-10/9) = -70/81

(a×b) × c = (-7/9 × 5/6) × -4/3 = -35/9×6 × -4/3 = -70/81

∴ Associative property satisfied for multiplication.

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