Students' errors on fraction problems often occur, especially in fraction counting operations. This error shows that the ability of students who do not understand the fraction problems. To overcome these errors, attention from the teacher is needed so that mistakes can be resolved. The purpose of this study is to describe students' errors in the fraction counting operation problem on each indicator, which is related to converting mixed fractions to ordinary fractions, determining fractions of value, and performing fraction addition and subtraction operations. This research is a qualitative descriptive study. The results showed that the majority of students experienced concept errors on each indicator requested in this study. Also, students make other mistakes such as mistakes of principle and carelessness.
In this article, we study about the value of Riemann Zeta Function for even numbers using Bernoulli number. First, we give some basic theory about Bernoulli number and Riemann Zeta function. The method that used in this research was literature study. From our analysis, we have a theorem to evaluate the value of Riemann Zeta function for the even numbers with its proving.
One of the phenomenon in marine science that is often encountered is the phenomenon of water waves. Waves that occur below the surface of seawater are called internal waves. One of the mathematical models that can represent solitary internal waves is the modified Korteweg-de Vries (mKdV) equation. Many methods can be used to construct the solution of the mKdV wave equation, one of which is the extended F-expansion method. The purpose of this study is to determine the solution of the mKdV wave equation using the extended F-expansion method. The result of solving the mKdV wave equation is the exact solutions. The exact solutions of the mKdV wave equation are expressed in the Jacobi elliptic functions, trigonometric functions, and hyperbolic functions. From this research, it is expected to be able to add insight and knowledge about the implementation of the innovative methods for solving wave equations.
The insurance company is a company that protects its customers from unwanted events in the future. A life insurance company should prepare a benefit reserve funds to be given to customers if the customers experience a risk of death in the future. Therefore, the insurance company must manage the benefit reserves so that the company does not have a loss. The purposes of this study are to calculate both the amount of annual net premiums and the amount of benefit reserves in term life insurance. The method used to calculate the value of the benefit reserve was a retrospective method. The results of the calculation of annual net premiums for large annual premiums for expenditures that are greater than those greater for the same period. While the value of insurance reserves will continue to increase at the beginning of the insurance contract begins and the value of insurance reserves will continue to increase towards 0 at the end of the insurance contract. This is because at the beginning of the company insurance payments obtained from annual net premium payments will be greater than the amount of benefits that must be approved.
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