Answer
Find out the The numerical value of A - B and the numerical value of B - A .
To prove
As given
The expression 113.47 - (43.72 - 26.9) represents A.
The expression 113.47 - (26.9 - 43.72) represents B .
Thus
A - B = 113.47 - (43.72 - 26.9) - ( 113.47 - (26.9 - 43.72))
First solving the bracket terms.
A - B = 113.47 - (43.72 - 26.9) - 113.47 + (26.9 - 43.72)
= 113.47 - 16.82 - 113.47 - 16.82
= 113.47 - 113.47 - 16.82 - 16.82
= -33.64
Therefore the value of A- B is -33.64 .
Thus
B - A = 113.47 - (26.9 - 43.72) - (113.47 - (43.72 - 26.9))
First solving the bracket terms.
B - A = 113.47 - (26.9 - 43.72) - 113.47 + (43.72 - 26.9)
= 113.47 + 16.82 - 113.47 + 16.82
= 33.64
Therefore the value of the A - B is -33.64 and B - A is 33.64 .