Question 16 -8 -3- -4- is not equal to a -8 -3 -4-b -8 -4- -3c -3 -8- -4 d -8 -3-8 -4

[( 8) × ( 3)] × ( 4) = [( 3) × ( 8)] × ( 4) [∵ As multiplication is commutative, i.e. a × b = b × a ] =( 3) × [( 8) × ( 4)] [ ∵ as multiplication is associ ...

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Standard VI

Mathematics

Distributivity

Question 16 [...

Question

$[(- 8) \times (- 3)] \times (- 4)]$ is not equal to

(a) $(- 8) \times [(- 3) \times (- 4)]$
(b) $[(- 8) \times (- 4)] \times (- 3)$
(c) $[(- 3) \times (- 8)] \times (- 4)$
(d) $(- 8) \times (- 3) - (- 8) \times (- 4)$

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Solution

$[(- 8) \times (- 3)] \times (- 4) = [(- 3) \times (- 8)] \times (- 4)$
$[∵$ As multiplication is commutative, i.e. a $\times$ b = b $\times$ a $]$
= $(- 3) \times [(- 8) \times (- 4)]$ ---(c) $[∵$ as multiplication is associative, i.e. $a \times (b \times c) = (a \times b) \times c]$
$= [(- 8) \times (- 4)] \times (- 3)]$ ---(b) [Since commutative property applied on $[(- 8) \times (- 4)]$ and $(- 3)$ ]
$= (- 8) \times [(- 4) \times (- 3)]$
$= (- 8) \times [(- 3) \times (- 4)]$ ---(a) [Since, commutative property]
Hence, $[- (8) \times (- 3)] \times (- 4)$ is not equal to $(- 8) \times (- 3) - (- 8) \times (- 4) .$

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Distributivity

Standard VI Mathematics

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[(−8)×(−3)]×(−4)] is not equal to (a) (−8)×[(−3)×(−4)] (b) [(−8)×(−4)]×(−3) (c) [(−3)×(−8)]×(−4) (d) (−8)×(−3)−(−8)×(−4)

$[(- 8) \times (- 3)] \times (- 4)]$ is not equal to

(a) $(- 8) \times [(- 3) \times (- 4)]$
(b) $[(- 8) \times (- 4)] \times (- 3)$
(c) $[(- 3) \times (- 8)] \times (- 4)$
(d) $(- 8) \times (- 3) - (- 8) \times (- 4)$