Experts have given their considered solutions. Please see whether my solution is of any use to you which is particularly based on group theory we study here in mathematics of around 6th to 9th grade :
To solve -2+5
-2+5= -2+(2+3) , as 5=2+3
-2+(2+3)=(-2+2)+3, by associative law.
=0+3
=3, as 0 is the additive identity, i.e. 0+x=x+0=x, x being any number.
Second method.
-2+5= 5+(-2) , by commutative law, i.e., a+b=b+a for any two numbers a and b are commutative under addition.
5+(-2)= 5-2, as +(-a) or -(+a)=-a, by rule of sign.
5-2= (3+2)-2
(3+2)-2= 3+(2-2), by associative law.
3+(2-2)=3. As 2 and -2 are mutually additive inverse of each other.
Thanks for giving an oppotunity to express.
Hope this helps.
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