Question

how to find 53x(-9) - (-109) x 53? using suitable property

Answer 1

53x (-9) - (-109)x53
53x (-9) - 53 x (-109)     by cummutative property
53x[(-9) - (-109)]   by distributive property
53x [ -9 + 109]
53 x [ 100]
5300 

Answer 2

we use commutative property of multiplication operator X first.  Then we apply the distributive property of binary operators minus over multiplication..

 
53 X  (-9)   -   (-109)  X 53
=  53 X (-9)   -   53  X   (-109)         commutative propery
=  53  X  [ (-9)  -  (-109) ]               distributive property
=  53  X  [-9 + 109 ]
=  53  X   100
= 5, 300