Simplification of absolute value formula |b-a|+|a|+|a-b|+| |b|-|a| |=? A is a negative number, B is a positive number, and the absolute value of a is greater than B ________________________ a. Please simplify and explain the method,

Simplification of absolute value formula |b-a|+|a|+|a-b|+| |b|-|a| |=? A is a negative number, B is a positive number, and the absolute value of a is greater than B ________________________ a. Please simplify and explain the method,


a<0,b>0,|a|>b
|b-a|+|a|+|a-b|+| |b|-|a| |
= b-a + (-a) + b-a + (|a|-|b|)
= b-a -a + b-a - a -b
= b-4a



1994 + 1 / 2-1 and 1 / 3 + 2 and 1 / 2-3 and 1 / 3 + 4 and 1 / 2-5 and 1 / 3 + +1992 1 / 2-1993 1 / 3


1994 + 1 / 2-1 and 1 / 3 + 2 and 1 / 2-3 and 1 / 3 + 4 and 1 / 2-5 and 1 / 3 + +1992 and 1 / 2-1993 and 1 / 3 = 1994 + 0 - 1 + (1 / 2) - (1 / 3) + 2-3 + (1 / 2) - (1 / 3) + 4-5 + (1 / 2) - (1 / 3) +... + 1992-1993 + (1 / 2) - (1 / 3) = 1994-997 + 997 * (1 / 2-1 / 3)



What is 1 + 2-3 + 4-5 + 6-7 + 8-9 + 10-11 +. + 1992-1993 + 1994


1+(2-3)+(4-5)+(6-7)+(8-9)+(10-11)+.+(1992-1993)+1994
=1+ (-1)*996 +1994
=999