Question

If a = 1/2, b = 3/4 verify the following: (i) ab = ba (ii) a + b = b + a​

Answer 1

Step-by-step explanation:

i

ab=ba

1/2x3/4 = 3/4x1/2

3/8=3/8

ii

a+b=b+a

1/2+3/4=3/4+1/2

5/4=5/4

hence verified

Answer 2

(I)

$ab = ba \\ = \frac{1}{2} \times \frac{3}{4} = \frac{3}{4} \times \frac{1}{2} \\ = \frac{3}{8} = \frac{3}{8} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ therefore \: ab = ba \: verified.$

(II)

$a + b = b + a \\ = \frac{1}{2} + \frac{3}{4} = \frac{3}{4} + \frac{1}{2} \\ = \frac{2 + 3}{4} = \frac{3 + 2}{4} \\ = \frac{5}{4} = \frac{5}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ therefore \: a + b = b + a \: \: \: \: \: \: verified$

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