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Yes, the noun total is used in addition. The noun total is a word for the whole number or amount of something. In addition the noun total is the sum of numbers added together.
No, it is a ratio word.
The word addition comes from British Mathematician Ada Lovelace! Ada was the Enchantress of Numbers. Through her dedication and hard work the word "addition" came to be.
There are three syllables in addition.
Identity of addition means the answer and then add