Let abc be a nonzero rational number, find the absolute value of a + the absolute value of b + the absolute value of c + the absolute value of abc?

Let abc be a nonzero rational number, find the absolute value of a + the absolute value of b + the absolute value of c + the absolute value of abc?

The key is to remove the absolute value. So consider the positive and negative values of a, b, c
If a, b, c are both positive numbers, then abc >0, then the original equation =1+1+1+1=4
Let a >0, b0, b >0, c if one positive and two negative

AN ALGORITHM Number Algorithm of Negative Power of Rational Number

This is simple, don't be difficult, generally speaking, like 3^(-3) as long as it is considered as 3 times 1, every time see the rational number of negative power, just like this, do one more step, will no longer be considered as negative,