Find the product: $ \quad $ (Using suitable property)
(a) $ 15 \times(-25) \times(-4) \times(-10) $
(b) $ 625 \times(-35)+(-625) \times 65 $

Given:

(a) \( 15 \times(-25) \times(-4) \times(-10) \) (b) \( 625 \times(-35)+(-625) \times 65 \)

To do:

We have to find the product using suitable properties.

Solution:

(a) $15 \times(-25) \times(-4) \times(-10)=[15\times(-10)]\times[(-25)\times(-4)]$                                 (On rearranging and using Associative law)

$=(-150)\times100$        [$(-)\times(-)=(+)$]

$=-15000$

(b) $625 \times(-35)+(-625) \times 65=-625[35+65]$                                          [Taking $-625$ common and using distributive law]

$=-625\times100$

$=-62500$

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Updated on: 10-Oct-2022

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