Division Algorithm: 15÷29=0 R15 Linear Equation

In summary, the conversation discusses finding the quotient and remainder when dividing 15 by 29 and using the division algorithm to write the answer as a linear equation. It is suggested that the computer application may have marked the answer wrong due to a difference in the way the equation was written, even though both ways are equivalent.
  • #1
Dustinsfl
2,281
5
Find the quotient and the remainder when 15 is divided by 29. Use the division algorithm to write your answer as a linear equation (i.e., use the division algorithm to write 15 divided by 29 as a linear equation)

I wrote 15=29*0+15 but this problem was marked wrong when I submitted it.

How should it be written?
 
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  • #2
Dustinsfl said:
Find the quotient and the remainder when 15 is divided by 29. Use the division algorithm to write your answer as a linear equation (i.e., use the division algorithm to write 15 divided by 29 as a linear equation)

I wrote 15=29*0+15 but this problem was marked wrong when I submitted it.

How should it be written?
Maybe it was looking for 15 = 0*29 + 15.
 
  • #3
Mark44 said:
Maybe it was looking for 15 = 0*29 + 15.

0*29 and 29*0 doesn't change the anything
 
  • #4
Right. I'm assuming that you are submitting this to some sort of computer application. If the application is brain-dead and looking for input in one way, it might not have the program logic to know that what you entered is equivalent to what I wrote.

I don't see anything wrong with your answer - I'm just trying to come up with an explanation of why it might have been marked wrong, that's all.
 

FAQ: Division Algorithm: 15÷29=0 R15 Linear Equation

What is the Division Algorithm?

The Division Algorithm is a mathematical method used to solve division problems. It involves dividing a larger number (dividend) by a smaller number (divisor) to get a result (quotient) and a remainder. It is commonly used to solve linear equations.

How do you solve a linear equation using the Division Algorithm?

To solve a linear equation using the Division Algorithm, you must first rearrange the equation so that the variable (unknown) is on one side and the constant (known) is on the other side. Then, divide both sides by the coefficient of the variable to isolate the variable. The resulting quotient is the solution to the equation.

What is the result of the division algorithm for 15÷29?

The result of 15÷29 using the Division Algorithm is 0 with a remainder of 15. This means that 15 can be divided into 29 exactly 0 times, with 15 left over as the remainder.

What is the significance of the remainder in the Division Algorithm?

The remainder in the Division Algorithm is the amount left over after dividing the dividend by the divisor. It is important because it shows the completeness of the division. If the remainder is 0, the division is exact and there is no leftover amount. If the remainder is not 0, the division is not exact and there is a leftover amount that must be considered in the solution.

What is a linear equation?

A linear equation is an algebraic equation where the highest exponent of the variable is 1. It can be written in the form of y=mx+b, where m is the slope and b is the y-intercept. Linear equations can be solved using various methods, including the Division Algorithm.

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