Question 1182387: Reperesent "twice a given number" if the given number is represented by 3a
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! if the given number is 3a, then twice the given number is 2 * 3 * a = 6 * a = 6a
keep in mind that 3a is really a short hand version of 3 * a, where * is the multiplication symbol.
twice * 3a is 2 * 3a which is 2 * 3 * a.
based on the asociative law of multiplication, 2 * 3 * a is equivalent to 2 * (3 * a) and also equivalent to (2 * 3) * a.
in that last form, it becomes 6 * a which becomes 6a when shown in the shorthand notation.
here's a reference on the associative law of addition and multiplication.
https://www.britannica.com/science/associative-law
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