Question

If a=-1/2,b=3/4,verify the following.

1.a×b=b×a

2.a+b=b+a​

Answer 1

step by step explanation:-

Given :-

a = -1/2

b = 3/4

1. a × b = b × a

$= > \: \frac{ - 1}{2} \times \frac{3}{4} \: = \frac{3}{4} \times \frac{-1}{2} \\ \\ = > \: \frac{ - 3}{8} = \frac{ - 3}{8} \\ \\ l.h.s. \: = r.h.s. \\ \\ hence \: proved$

2. a + b = b + a

$= > \: \frac{ - 1}{2} + \frac{3}{4} = \frac{3}{4} + \frac{ - 1}{2} \\ \\ l.c.m \: of \: 2 \: and \: 4 = 4 \\ \\ so \\ = > \frac{ - 2 + 3}{4} = \frac{3 - 2}{4} \\ = > \: \frac{1}{4} = \frac{1}{4} \\ \\ \\ l.h.s. = r.h.s. \\ \\ hence \: proved$

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Answer 2

Answer:

Two equation are proved .

Step-by-step explanation:

If a=-1/2,b=3/4.

1.a×b=b×a

a * b = -1/2 * 3/4 = -3/8.

b * a = 3/4 * -1/2 = - 3/8.

Hence a×b=b×a . It is proved.

2.a+b=b+a​

a + b = -1/2 + 3/4 = 1/4.

b + a = 3/4 + (-1/2) = 1/4.

Hence a+b=b+a​ . It is proved.

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