How To Solve Remainder Problems

How To Solve Remainder Problems-36
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.You cannot solve a remainder problem by simply dividing in your calculator.

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.You cannot solve a remainder problem by simply dividing in your calculator.

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Note that these calculator algorithms work exactly the same no matter how large the numbers are that you are dividing.

As an additional exercise you should try to find the remainder when 15,216 is divided by 73 by using one of these calculator algorithms. You can find solutions here: SAT Remainder Problems – Part 2 If you are preparing for the ACT, the GRE, or an SAT math subject test, you may want to take a look at one of the following books.

She wants to give same number of candies to each of her five friends.

How many candies can she give to each of her friends? Step 1: The problem can be written as a division statement 16 ÷ 5.

For the next three days I would like to help you to understand math problems involving remainders.

These types of problems appear on standardized tests such as the ACT, GRE, and SAT math subject tests.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.The following table gives the Remainder Theorem and Factor Theorem.Scroll down the page for more examples and solutions on how to use the Remainder Theorem and Factor Theorem. Recall that for long division for integers, the dividing process stops when the remainder is less than the divisor.Method 1 – Long Division: So 4 goes into 14 three times with 2 left over. So we see that the remainder when we divide 14 by 4 is 2.Let’s break this down step by step: Count the number of groups of 4 objects that can be formed from 14 objects.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.Method 2 – First Calculator Algorithm: Step 1: Perform the division in your calculator: 14/4 = 3.5 Step 2: Multiply the integer part of this answer by the divisor: 4*3 = 12 Step 3: Subtract the above result from the dividend to get the remainder: 14 – 12 = 2.Method 3 – Second Calculator Algorithm: Step 1: Perform the division in your calculator: 14/4 = 3.5 Step 2: Subtract off the integer part of this result: ANS – 3 = .5 Step 3: Multiply this result by the divisor: 4*ANS = 2.

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