Question

verify the following and name the property of multiplication:
(b)-3/2×(1/7+9/18)=(-3/2×1/7)+(-3/2×9/18)​

Answer 1

$\pink{Refer\:attachments\:for\:better\:explanation:-}$

Answer 2

$\\⠀⠀\bigstar \:⠀⠀⠀\underbrace\bold{\large\underline{Concept: - }}$

verify the following and name the property of multiplication:

(b)$\large\frac{-3}{2} × (\large\frac{1}{7} + \large\frac{9}{18})$ = $(\large\frac{-3}{2} + \large\frac{1}{7})$ $(\large\frac{-3}{2} + \large\frac{9}{18})$

$\\⠀⠀\bigstar \:⠀⠀⠀\underbrace\bold{\large\underline{Solution: - }}$

⟹ $\large\frac{-3}{2} × (\large\frac{1}{7} + \large\frac{9}{18})$ = $(\large\frac{-3}{2} + \large\frac{1}{7})$ $(\large\frac{-3}{2} + \large\frac{9}{18})$

⟹ $\large\frac{-3}{2} × (\large\frac{18+9×7}{126})$ = $(\large\frac{-3}{14})$ + $(\large\frac{27}{36})$

⟹ $\large\frac{-3}{2} × (\large\frac{18+63}{126})$ = $\large\frac{-54 -189}{252}$

⟹ $\large\frac{-3}{2} × \large\frac{81}{126}$ = $\large\frac{-243}{252}$

⟹ $\large\frac{-9}{8}$ = $\large\frac{-9}{8}$

i.e; Distributive Property

$\mathcal {BE⠀\:⠀\:BRAINLY}$