How can you use multiplication to check quotient? - Answers

You can use multiplication to check a quotient because, if you think about it, division is like algebra with multiplication.Lets say you have the problem 49/749/7 is 7, right? So you check by taking the answer (7) and the divisor (7) and multiply it to check.Does 7x7=49? Yes, it does!The quotient is right if you multiply the divisor by the quotient and get the dividend.Another example for your benefit:153/3You do the calculations wrong, but you are smart enough to check to find out you did this.Lets say you think that 153/3=13.You check by doing: 13x3.When you are done calculating 13x3, you get 39.BUT you didn't get 39 when dividing.So this proves that 13 IS MOST DEFINITELY NOT the answer.You divide again and get 51.Being the smart person you are, you check that answer.51x3=153By checking, you got it right!