Question

Show that (-18) = [6 = (-1)] = [(-18) = 6] = (-1)
Show that {(–72) = (-9)} {(-20) = (-5)} = 2
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Answer 1

Answer:

question no. 1.

by using Associative property of multiplication, we have

$(a \times b) \times c = a \times (b \times c)$

let a = - 18, b = 6 and c = -1.

(-18) × [6 × -1] = [(-18) × 6] × (-1)

= (-18)× (-6) = -108 × (-1)

= 108 = 108 hence shown

question no. 2:

{(-72)÷(-9)}={(-20)÷(-5)}×2

let LHS = {(-72)÷(-9)} and RHS= {(-20)÷(-5)}×2

$lhs = \frac{ - 72}{ - 9} = 8 \\ \\ rhs = \frac{ - 20}{ - 5} = 4 \times 2 = 8$

.°. LHS = RHS

hence shown