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you write your work down on paper with a pencil and if you mess up, use an eraser to erase your work.
yes, because obviously you know how
You use standard form in algebra because you have to know the number before you answer the problem
yes because they need to know the time of when they are going to act or they need to know how many they going to get of money
the reason you use letters in algebraic expressions is because you don't know the number so a letter replaces it.