Question

verify that a+(b+c)=(a+b)+c by taking a=-4/5,b=7/8 and c=3 /4

Answer 1

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Answer 2

We have verified a+(b+c) = (a+b)+c for a = -4/5, b = 7/8, and c = 3/4.

Given:

a = -4/5, b = 7/8, and c = 3 /4.

To Find:

Verification of a+(b+c) = (a+b)+c by taking a = -4/5, b = 7/8, and c = 3 /4.

Solution:

We are given that a+(b+c) = (a+b)+c.

This is the property of associativity of numbers.

We have to prove the above property for a = -4/5, b = 7/8, and c = 3 /4..

Let us first compute the LHS.

a + (b+c) = -4/5 + (7/8 + 3/4) = -4/5 + (7/8 + 6/8) = -4/5 + 13/8 = 33/40.

Next, let us compute the RHS.

(a + b) + c = ( -4/5 + 7/8) + 3/4 = 3/40 + 3/4 = 33/40

We observe that LHS = RHS.

Hence, we have verified a+(b+c) = (a+b)+c for a = -4/5, b = 7/8, and c = 3/4.

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