Two Division QuestionsDate: 1 Feb 1995 22:47:25 -0500 From: Pat Couch Subject: Math Challenge Dear Dr. Math, I have a real math challenge for you. The question is: There are 9 men. How many cookies would each man get if there were 113 cookies? Brodie Dear Dr. Math, What is the answer to 1,623,341 divided by 1.632 x 963.2389? I'm not allowed to use a calculator. Chris Pat Couch Learning Assistance Teacher Lavington Elementary School Date: 3 Feb 1995 18:44:07 GMT From: Dr. Math Subject: Re: Math Challenge Dear Brodie and Chris: Hello there! We are glad you wrote to Dr. Math. Brodie, let me answer your question first. If there are 113 cookies and 9 men want to share the cookies equally there are a couple of ways to figure out how many cookies each man gets. The easiest way to do this is divide 113 by 9. You won't get an whole number, so either the men will have to divide some of the individual cookies so they can all have an equal amount, or some men will get more cookies than other men. 113/9 = 12 and 5/9 or 12 remainder 5. So, each man can have 12 whole cookies, and then either all 9 men can have an additional 5/9 of a cookie or 5 men can have 13 cookies while the remaining 4 men have only 12 cookies. Either way, I think, these 9 men might start feeling a little sick, what do you think? I have a question for you. What if all 9 men decided they wanted to eat only 5 cookies. How many cookies would be left? I hope this helps! Write back if you have any other questions, Brodie. Okay, Chris, on to your question. This is a pretty difficult division problem to be doing without a calculator! The first thing to do in this problem is to put the denominator (the bottom of the fraction) in terms of fractions instead of decimals . 1.632 = 1632/1000, right? And, 963.2389 = 9632389/10000, so our problem is now to simplify the following: 1623341 ---------------------------- (1632)(9632389)/(1000)(10000) When we have fractions in the denominator, we can simplify by multiplying the numerator by the inverse of the fraction in the denominator. The inverse of a fraction is the number you get when you switch the numbers in the numerator and denominator. So, for instance, the inverse of 2/3 is 3/2. So, we can simplify the above to: (1623341)(1000)(10000) ---------------------- (1632)(9632389) WHOA!!! This looks like it is going to be a lot of work with multiplying and dividing. Your next step would be to simplify the numerator and denominator. Multiply the numbers in the numerator together, and then multiply the numbers in the denominator together and divide (using long division). Phew! This may take a while! I wish you good luck on this endeavor. If you have any more questions or want to check your answer, feel free to write us back. --Sydney, "dr. math" |
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