Question

Fill in the blanks:
(i) $-2317\times 1835=1835\times ......$
(ii)$-38\times -719=-719\times ......$
(iii) $157\times -2110\times -56=......\times -2110\times -56$
(iv) $-125\times 415\times (25-16)=-125\times 415\times ......$

Answer 1

(i) $-2317\times 1835=1835\times -2317$ $[\because$ commutative property, $a\times b=b\times a]$

(ii) $-38\times -79=-79\times -38$ $[\because$ commutative property, $a\times b=b\times a]$

(iii) $(157\times -2110)\times -56=157\times (-2110\times -56)$ $[\because$ Associative property, $a\times (b\times c)=(a\times b)\times c\left)\right]$
(iv) $-125\times 415\times (25-16)=[-125\times 415\times 25]-[-125\times 415\times 16]$

$[\because$ Distributive Property, $a\times b\times (c-d)=a\times b\times c-a\times b\times d]$