Ask Dr. Math Elementary Archive

Dr. Math Home || Elementary || Middle School || High School || College || Dr. Math FAQ

 TOPICS This page:   division    Search   Dr. Math See also the Dr. Math FAQ:   divisibility rules and   order of operations Internet Library:   division ELEMENTARY Arithmetic    addition    subtraction    multiplication    division    fractions/decimals Definitions Geometry    2-dimensional      circles      triangles/polygons    3D and higher      polyhedra Golden Ratio/ Fibonacci Sequence History/Biography Measurement    calendars/      dates/time    temperature    terms/units Number Sense/ About Numbers    infinity    large numbers    place value    prime numbers    square roots Projects Puzzles Word Problems Browse Elementary Division Stars indicate particularly interesting answers or good places to begin browsing. Selected answers to common questions:     Dividing fractions.     Flashcards/worksheets on the Web.     Long division.     Order of operations.     Number sentences. Multiplying by the Reciprocal to Divide Two Fractions [05/08/2008] Why does it work to divide two fractions by multiplying the numerator times the reciprocal of the denominator? Multiplying Mixed Numbers [06/02/2003] Can you multiply mixed numbers without changing them into improper fractions? Name of Division Symbol [7/31/1996] What is the official name for the division symbol? Number Divisibility [11/01/1998] How many natural numbers under 2,000 are divisible by 5 or 7? What's the quickest way to figure this out? Order of Numbers in Subtraction and Division [11/09/1999] Why can you add or multiply numbers in any order, but you cannot switch order when you divide or subtract? Order of Operations: Parentheses as Packages [10/25/2001] I need help figuring out the steps in this expression: 5-{-4[2^4-11(-9- 1)]}= Order of Operations vs. Associative Property [10/10/2002] Is the associative property an exception to the order of operations, a corollary, or something totally unrelated? Order of Operations vs. Distributive Property [02/04/2005] Does the distributive property contradict the rules of order of operations? When we have a(b + c) order of operations says we should add first in the parentheses, then multiply, but the distributive property says we can multiply first to get ab + ac, then add. Primes and Repeating Unit Numbers [12/09/1998] How do you prove this statement: For every prime number there exists a repeated unit number that is a multiple of that prime. Problems with Zero; Writing Remainders [11/07/2001] When I do long division the answer is correct except for one thing in the middle of the answer when it contains a zero. Quickly Dividing in Two [7/8/1996] Are there any quick tricks for figuring out fifty percent of a number such as 14.95 in your head? Quotient of 65 and 9.4 [2/13/1995] What is the quotient of 65 and 9.4? Remainders [07/02/1998] Can you tell me how to do remainders? Setting Up a Division Calculation Correctly [12/16/2005] I get confused about which number goes where when I have to do something like "6 divided by 2". Which number goes in the calculator first? And which number goes on the outside and inside if I am doing it on paper? Short Division [01/11/2002] I have math problems that say solve by using "short division." What does this mean? Three-Digit Numbers [01/27/1997] If you take a three-digit number, rearrange it two other ways, add the three numbers together, and divide by 3, why do you always get a remainder of zero? To Multiply or Divide? That Is the Question. [09/02/2003] In a story problem, how do you know whether to multiply or divide? Trick for Numbers Divisible by 3 or 9 [02/24/1998] Proof of a trick for numbers that are divisible by 3 or 9. Two Division Questions [2/1/1995] I have a real math challenge for you. There are 9 men. How many cookies would each man get if there were 113 cookies? Also, what is the answer to 1,623,341 divided by 1.632 x 2389? Ways to Add and Divide More Easily [11/17/2008] I have to add 2398 and 5752 and then divide by 37. I can do it, but it takes a long time. Is there any faster way to do those calculations? What Does Cancelling Mean? [01/22/2003] My teacher says that 2k/4n can be simplified to k/2n. How can one k cancel out 2 n's? What is 12/18 ? [4/27/1995] A third grader asks for help with a problem on long division and remainders. What is 15/11? [4/27/1995] We are learning division. What is 15/11? What is 2346 Divided by 56? [4/27/1995] We are studying Division. 2,346 divided by 56 = ? What is 25 Divided By 5? [4/27/1995] I'm studying division at school. Do you know 25 divided by 5? What is 65 Divided by 3? [4/27/1995] We just started division. It is pretty simple to me. What is 65 divided by 3? What Is Trial Division? [02/24/1998] Trial division is a technique for factoring a number. Which is the Divisor and Which is the Dividend? [03/01/2002] I can't remember which number is the dividend and which is the divisor. Why Decimal Division Works [04/24/2001] Can you explain why (not how) the procedure of division with decimals works? Why Is Mental Math Important? [03/25/2004] How can I convince a 14 year old girl who is in 8th grade the importance of mental math? I think that skills like mentally adding and subtracting 2 digit numbers and being able to estimate multiplying 2 digit large numbers are critical. My daughter's teacher says that such skills aren't needed because of calculators and computers. Why the Fraction Division Technique Works [11/27/2004] Why do we need to flip the second fraction when we divide fractions? Writing a Remainder as a Reduced Fraction [08/29/2001] I have to solve two division problems and write the remainder as a reduced fraction. Page: [

Search the Dr. Math Library:

 Search: entire archive just Elementary Division Find items containing (put spaces between keywords):   Click only once for faster results: [ Choose "whole words" when searching for a word like age.] all keywords, in any order at least one, that exact phrase parts of words whole words

[Privacy Policy] [Terms of Use]

© 1994- The Math Forum at NCTM. All rights reserved.
http://mathforum.org/