Question

8. Let a, b, c be the three rational numbers where a = 2/3, b = 4/5 and c = −5/6

Verify:

(i) a + (b + c) = (a + b) + c (Associative property of addition)

(ii) a × (b × c) – (a × b) × c (Associative property of multiplication)​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

given: a = 2/3 , b = 4/5 , c = -5/6

(i) a + (b + c) = (a + b) + c

2/3 + (4/5 + (-5/6)) = (2/3 + 4/5) + (-5/6)

2/3 + 4/5 - 5/6 = 2/3 + 4/5 - 5/6

(20 + 24 - 25)/30 = (20 + 24 - 25)/30

19/30 = 19/30. verified

(ii) a×(b×c) = a×(b×c)

2/3×(4/5×(-5/6)) = (2/3×4/5)×(-5/6)

2/3×(-2/3) = 8/15×(-5/6)

-4/9 = -4/9. verified

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