Question

|I need this answer for all questions ​

Answer 1

$\huge\mathscr{\underline{\underline{Answer:-}}}$

i. -7/18 = -7/18

ii. -85/6 = -85/6

iii. -104/24 = -104/24

iv. 50/15 = 50/15

$\huge\mathscr{\underline{\underline{Verification:-}}}$

i. a × (b + c) = a × b + a × c

1/3 × (0 + (-7)/6) = 1/3 × 0 + 1/3 × -7/6

1/3 × -7/6 = 1/3 × -7/6

-7/18 = -7/18

•°• $\large\mathscr{\underline{\underline{Verified}}}$

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ii. a × (b + c) = a × b + a × c

-5/2 × (2 + 11/3) = -5/2 × 2 + -5/2 × 11/3

-5/2 × {(6 + 11)/3} = -10/2 + -55/6

-5/2 × 17/3 = (-30 - 55)/6

-85/6 = -85/6

•°• $\large\mathscr{\underline{\underline{Verified}}}$

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iii. a × (b + c) = a × b + a × c

-13/4 × {5/2 + (-7/6)} = -13/4 × 5/2 + (-13/4) × -7/6

-13/4 × (15 - 6)/7 = -65/8 + 9/24

-13/4 × 8/6 = (-195 + 91)/24

-104/24 = -104/24

•°• $\large\mathscr{\underline{\underline{Verified}}}$

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iv. a × (b + c) = a × b + a × c

2 × {9/5 + (-2/15)} = 2 × 9/5 + {2 × (-2/15)}

2 × (27 + 2)/15 = 18/5 - 4/15

2 × 25/15 = (54 - 4)/15

50/15 = 50/15

•°• $\large\mathscr{\underline{\underline{Verified}}}$