Posts Tagged ‘property’
Friday, October 23rd, 2009
How to Solve Vectors Using Scalar Multiplication
Description
A detailed tutorial on how to solve vectors using scalar multiplication. Step by step tutorial including several examples on scalar multiplication for reference.
Overview
Scalar multiplication is when you multiply, or re-scale, vectors by a real number. These real numbers are referred to as scalars, so that they can be distinguished from vectors. So, scalar multiplication is when you multiply a vector by a scalar. When you multiply a scalar and a vector, you will get another vector. Your resulting vector will be:
When a vector is multiplied by a scalar, the vector is getting stretched out by a factor of the scalar. If the scalar is negative, then the vector changes direction. A property of scalar multiplication is that it is distributive.
Tags: algebra, direction, distributive, flippied, multiplication, multiply, negatve, number, property, real, rescale, scalar, stretched, vector
Posted in Algebra | No Comments »
Friday, October 9th, 2009
Overview of the Zero-Factor Property
Description
A detailed tutorial on solving problems using the zero-factor property. Step by step tutorial including several examples of the zero-factor property for reference.
Overview
The zero-factor property is very closely linked to solving quadratic equations by factoring. The zero-factor property takes place very close to the end of the problem. Once you have finished factoring, you are usually left with two binomials that are being multiplied. The zero-factor property involves setting each of these binomials equal to zero separately. This allowes you to solve for two different values of x. This works on anything that has more than one term with the same variable being multiplied together. The reason it works is that if you multiply anything by zero, the answer is zero. So all you need to do is set the separate parts equal to zero, and it is just as good as solving for the whole thing at one time.
Tags: algebra, binomials, equation, factor, factoring, Math, multiplication, Polynomials, property, quadratic, variable, zero, zero-factor
Posted in Algebra | No Comments »
Tuesday, September 15th, 2009
An In-Depth Look at the Closure Property
Description
A detailed tutorial on how to use the closure property. Step by step tutorial including several examples of how to use the closure property for reference.
Overview
The closure property states that if a and b are both real numbers, then a + b is a unique real number, and a * b is also a unique real number. Basically what the closure property is saying is that if you add or multiply two real numbers, your only possible answer is a real number. The closure property is also saying that the sum or product of two real numbers is unique, meaning there is only one number that it could be.
Tags: add, addition, arithmetic, closure, closure property, Math, multiplication, multiply, product, property, real numbers, sum, unique
Posted in Arithmetic | No Comments »
Tuesday, September 15th, 2009
An In-Depth Look at the Transitive Property
Description
A detailed tutorial on the use of the transitive property. Step by step tutorial including several examples of how to use the transitive property for reference.
Overview
The transitive property states that if a = b, and if b = c, then a = c. This makes sense, because the first statement, a = b, tells us that a must be the same value as b. The second statement then tells us that b = c, meaning that b and c have the same value. If c has the same value as b, and b has the same value as a, then a = c. In time the transitive property becomes something we do so often that we don\’t even think about it being an actual property anymore.
Tags: arithmetic, equals, Math, property, transitive, transitive property, values
Posted in Arithmetic | No Comments »
