Arithmetic A calculator/Abacus
Ask me a question and I will answer.
Arithmetic calculator answers basic math questions
Tell me to say something and I will speak,
You can write many words on a calculator (from comments)
I can split things up or double them in size.
Split = Divide, double = multiply
No, I'm not living, since I am man made.
Arithmetic is man made although it is based on logic Calculators are man made
Most love me, but others forbid my aid.
They are forbidden on some exams, but students love them.
Some occupation need to utilize me every day.
Some cashiers use calculators everyday, as do many other professions in engineering/science
Some of me may sound like American music makers, but I am far from that.
Texas Instruments is a popular calculator brand, it sounds like a band from Texas playing instruments (from comments)
I have 10 main components with an additional four.
10 digits with "+ - / *"
But, If you upgrade me I may do wrong, soak up the sun, or become part of a tree.
Upgrade a standard calculator to a scientific one, and you get the functions SIN, TAN, LOG which is something wrong, soaking up the sun, and part of a tree (from comments)