This book is devoted on some recent investigations on multiplicative elementary mathematics. The book contains four chapters. In Chapter 1, we define the set $\mathbb{R}_{\star}$ of multiplicative real numbers and we prove that it satisfies all axioms for a field. We introduce an order in $\mathbb{R}_{\star}$, the power of multiplicative real numbers, multiplicative absolute value. We deduct some of their properties. In Chapter 2, we define multiplicative monomials, multiplicative binomials, multiplicative trinomials and multiplicative polynomials. They are given the basic rules for multiplicative addition, multiplicative subtraction, multiplicative multiplication and multiplicative division. In the chapter are investigated multiplicative rational expressions. In Chapter 3, we define multiplicative factorial and multiplicative binomial coefficients. We deduct some of their properties. In Chapter 4, we investigate multiplicative linear equations and multiplicative linear inequalities. We consider some multiplicative equations that lead to multiplicative linear equations. In the chapter are studied multiplicative linear equations with multiplicative modulus and multiplicative linear inequalities with multiplicative modulus. This book is addressed to a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook at the graduate level and as a reference book for several disciplines.