Question

• Verify property a - (b - c) +(a - b) - c:
(a) 18,15 and 23
(b)19, 16 and 41
Perform the following subtractions and check
(a) 4532 - 1892
(b) 100000 - 45268​

Answer 1

Step-by-step explanation:

Given that:-

a)Given numbers are 18,15,23

Let a=18,b=15,c=23

LHS:a-(b-c)

=18-(15-23)

=18-(-8)

=18+8

=26

RHS:-(a-b)-c

=(18-15)-23

=3-23

=-20

LHS≠RHS

a-(b-c)≠(a-b)-c

b)Given numbers are 19,16,41

Let a=19,b=16,c=41

LHS:-a-(b-c)

=19-(16-41)

=19-(-25)

=19+25

=44

RHS:(a-b)-c

=(19-16)-41

=3-41

=-37

LHS≠RHS

a-(b-c)≠(a-b)-c

From above we conclude that

a-(b-c)≠(a-b)-c

Associative property under subtraction does not hold in the set of integers.

a)Given that 4532 - 1892=2640

Check-1892+2640=4530

b)Given that:-100000 - 45268=54732

Check:-45268+54732=100000