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Mathematical reasoning is the study and analysis of valid arguments. The arguments are in the form of statements or propositions, which are either true or false, but not both. There are also some statements, which appear to be true and false at the same time. They are called paradoxes. ..

Discrete mathematics includes Modular arithmetic, Mathematical reasoning and Graph theory. Modular arithmetic covers Modular addition and multiplication and Examples on modular arithmetic. 10th grade Mathematical reasoning contains Different types of compound state..

In drawing mathematical or scientific conclusions, there are two basic processes of reasoning that are commonly used. These are induction and deduction..

Before we learn about mathematical Induction, and the principle of mathematical induction, we should know what is a mathematical statement. A statement involving mathematical relation or relations is called a mathematical Statement. Consider..

Addition is a mathematical operation that represents combining collections of objects and digits together into a larger collection. It is denoted by plus sign (+).Subtraction is a one of four mathematical operations that represents difference of objects and digits together into..

Interest is a fee paid on borrowed assets. It is the price paid for the use of borrowed money. The interest is calculated upon the value of the assets in the same manner as upon money.Simple interest is the rate of interest which is calculated upon the original principle amount.Compound interest i..

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Introduction Quantities in the form of mathematical expression Mathematical expressions are the combination's of mathematical symbols or numbers or both. Every expression contains important elements called variables. Expression generally does not contain ..

Consider the mathematical statements: 2. $n(n+1)$ is divisible by 2. 2. $3^{2n}-1$ is divisible by 8. 3. $n^2-n+41$ is a prime integer. 4. If a set S contains n distinct objects, then the number of subsets of S is $2^n$. All these statements are concerned with natura..

There are three main steps in the mathematical formulation of a linear programming problem. We will discuss formulation of those problems, which involve only two variables. Identify the decision variables and assign symbols x and y to them. These decision variables are those quantit..