How To Solve Remainder Problems

How To Solve Remainder Problems-57
You cannot solve a remainder problem by simply dividing in your calculator.There are, however, calculator algorithms that can give you the answer very quickly. A common error that students make is to perform a division calculation on their calculator, and simply take the first number after the decimal point and use this digit as the answer to the problem. Suppose we are asked “Find the remainder when 14 is divided by 4.” In your calculator, 14/4 = 3.5.

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This is because the tool is presented as a theorem with a proof, and you probably don't feel ready for proofs at this stage in your studies.

Fortunately, you don't "have" to understand the proof of the Theorem; you just need to understand how to You know, from long division of regular numbers, that your remainder (if there is one) has to be smaller than whatever you divided by.

The quotient 3 appears above the division symbol and the remainder 2 appears at the bottom.

Below is a visual representation of 14 divided by 4.

ACT and GRE math problems with remainders seem to give students a difficult time.

How To Solve Remainder Problems

This is mostly because a fundamental step in solving the problem is often missed – performing long division.Place this number over the 4 that is inside the division symbol. Place this number below the 4 that is inside the division symbol.Subtract the resulting number 12 from the dividend 14.Penciling the number 5 as your answer would be incorrect – seriously incorrect.This “5” is actually part of the answer to the question “What is 14 divided by 4? Students that are currently scoring in the mid-range in ACT/GRE math seem to have the biggest problem with remainder questions.The largest multiple of 5 that is less than 16 is Phil has 31 playing cards.He wants to deal same number of cards to each of four players.Because this concept shows up so often on the GMAT, I thought it would be useful to revisit the topic.At times, it will be helpful to know the kind of terminology we’re taught in grade school, while at other times, we’ll simply want to select simple numbers that satisfy the parameters of a Data Sufficiency statement.In the figure below we are grouping 14 objects 4 at a time.Note that we wind up with 3 groups (the quotient) and 2 extra objects (the remainder).


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