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Grades 9-10 Video Solutions 2010
Levels 9&10 Video Solutions 2010 problem1
Levels 9&10 Video Solutions 2010 problem1
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Question number 1. The result of dividing 20,102,010 by 2010 is which of the following numbers? To perform this division I will first rewrite the large number 20,102,010 in the following way. I will subtract 2010 from it and what I have left over is 20,100,000 and then I will factor out 2010 from 20,100,000. So 2010 here times and what I need is four zeros here appended at the end so that's multiplying by 10,000 like so and then I have two terms with a common factor of 2010 so I can factor 2010 out of both terms and what's left over is one from the first term and 10,000 from the second term. We can then combine these and have the factorization 2010 times 10,001. So by dividing on both sides by 2010 we are left with the factor 10,001 and that is the result of dividing our large number by 2010 and that gives us answer D over here and then of course by following the process in reverse we can check that by rewriting 10,001 as 10,000 plus 1 and multiplying through by 2010 we recover our original number so this is indeed the right answer D, 10,001.
Video Summary
Question number 1. The result of dividing 20,102,010 by 2010 is which of the following numbers? To perform this division I will first rewrite the large number 20,102,010 in the following way. I will subtract 2010 from it and what I have left over is 20,100,000 and then I will factor out 2010 from 20,100,000. So 2010 here times and what I need is four zeros here appended at the end so that's multiplying by 10,000 like so and then I have two terms with a common factor of 2010 so I can factor 2010 out of both terms and what's left over is one from the first term and 10,000 from the second term. We can then combine these and have the factorization 2010 times 10,001. So by dividing on both sides by 2010 we are left with the factor 10,001 and that is the result of dividing our large number by 2010 and that gives us answer D over here and then of course by following the process in reverse we can check that by rewriting 10,001 as 10,000 plus 1 and multiplying through by 2010 we recover our original number so this is indeed the right answer D, 10,001.
Keywords
division
factorization
2010
10,001
mathematics
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