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Recent Posts Tagged With 'algebra'
Boolean OR operation | Special Maths Addition
'Boolean means 2-state operation.OR means any one state that is valid will result in a positive outcome.Example: When James or Mary come, the show will be start.In maths, this translates to ADD, except only 2 states can occur (that is, on or off onl...
Boolean AND operation | A Special Multiplication
'There is a special field of algebra called the Boolean Algebra.Here the algebra operates in the base 2 number system.One special operation it performs is the AND operation.What AND?A simple analogy is " Mary AND John went to the park".The meaning is...
Algebra | Moving Forward in Usage
'In the study of algebra, symbolic representation of number or unknown is key concept to solving mathematical equations.The letter "x" or "y" are examples.Other symbols can also be used as long as the usages are understood.In the expression, x + 0.5 ...
Application of Algebra
'I have seen lower primary school kids learning mathematics.They are exposed to many logic "games" which tested their mathematically analytical skill.One of them is the math Word problem topic.Here they are always given a scenario and asked to give a...
Careless Algebraic Mistake
There are times when simple algebraic operations are confused by introducing trigonometric functions or logarithmic terms.Example:13 = 7 - 3xThis can be easily computed to be13 - 7 = - 3x ==> 6 = - 3x==> x = -2But how about 13 = 7 - 3 tan X ?Solu...
Algebra Is Useful
.There are everyday events that requires the use of algebra.Solving simple math question with unknowns can be done easily with algebra in mind.Take the example of the math challenge 15 given by clicking this link.What the challenge requires is the ad...
Complex Number Explained
Mathematician believes that all expressions in maths have solution.But there are equations that seems to be out of sort.No solution looks fitting.One example is shown below.Example:x - (x + 1)2 = 2Here, by pure comparison without touching on mathemat...
Simple Factor Multiplication
Multiplying is simple.What is 4 x 3?Answer is 4 x 3 = 12.Simple?Sure it is.How about y(y - 1)?Answer is y2 - y.Again simple? Sure.But how about (y + 1)(2y + 3)?Many of you may find this simple and basic.But you may still come across some who did not ...
Indices | Interesting Mistakes (2)
For maths problem related to indices, you do not only look at the power. You have to take care of the base too.The common mistake is to ignore the sign of the base when doing computation involving index.A simple example illustrates the error that is ...
Seeing Expression As A Block
In maths, the many expressions and numbers confuse the working mind when you are not alert.This is so especially when you do subtraction.Do you look at expression as a block or isolated terms?Let's take an example.If Z = 2x + 1, and A = x - 1, perfor...
Mistake in Sign of Reshuffled terms
Look at the difference in algebraic operation for the 2 math examples below:Example A:2x + 4y - 3z = 3after re-shuffling, becomes-3z +2x + 4y - 3 = 0Example B:3x - 4y + z = 2becomes, after re-shuffling,-z -4y -3z -2 = 0Example A can be seen to be cor...
Special Product A^2 - B^2 and A^2 + B^2
The product format A2 - B2 is a special form of algebraic expression.It is equal to (A + B)(A - B).Many other expressions, like the cos2A = cos2A - sin2B,can also be expressed in the special product form, that is,cos2A = (cos A + sin A)(cos A - sin A...
Mistake with A^2 - B^2
In algebra, a very common mistake you can see learner making is the below:52 - 22 = (5 - 2)2 = 32 = 9This is very interesting.It seems to be correct. That is the problem with this form of mathematical operation.If you are aware that A2 - B2 = (A + B)...
Math Challenge 12
Although math may seem difficult at times, proper use of its principles will render it simple to handle and use.Here, a bit of algebraic juice can help in solving the below math challenge.Following the pattern, you will observe a "trick" that you can...
Mistake in Cos(A + B)
We do encounter question like,"Find the angle of A in cos (A + 45) = 0.42 ".What do you do?Two solutions are presented as below:Solution 1:cos (A + 45) = 0.42==> A + 45 = cos-1 0.42==> A = 65.17 - 45 = 20.17 (Answer)Solution 2:cosA + cos45 = 0.42==> ...
Cos2A IS NOT 2CosA
A common mistake in trigonometry is the misunderstanding that cosA can be taken apart.What is the true meaning of this "cos"?"cos", or cosine, is actually a trigonometrical operation on an angle producing a ratio or a number.Here, cosine is taken as ...
Division of x^n with y^n
Confusion does happen when you are bombarded with many numbers, exponential and its likes.After dealing with indices, logarithm and their multiplication and division, the brain will sort of tangle up and produces weird happenings.Take 2 examples belo...
Interesting Facts of Factorisation in Quadratic Equation Solving
Why do you learn factorisation?What is the importance of factorisation?You may have these questions when you are taught this.Factorisation is the making of an expression into the product form, that is, (....)(....)(....).Factorisation ends with all t...
Meaning of AB = 0 and AB = 1
AB = 0.The mathematical statement seems simple.It means the multiplication of variable A and B equals zero.Though it seems simple and direct, mistake in understanding the implication of the zero exists.When we say AB = 0, we indirectly (and logically...
Solving Index expression in Quadratic form
In maths, the solving of indices questions and its quadratic counterparts are a common practice.Depending on how you approach the solving, you may encounter a tough journey or a smooth-flowing one.There are, however, simple tools and concepts that ca...
Power of Using "Let" to Simplify Maths Solving
Anyone doing maths may encounter instances where the expressions are long and seemingly complex.Example 1: 3(logx)2 + 4 logx + 5 = 1Example 2: 3(1/x)2 + 4(1/x) + 5 = 1When you jump straight into them, trying to solve them, you may encounter confusion...
Logical Solution in Maths
Maths can be solved in many ways, as one learning it knows.There are the conventional techniques or methods type of solving.You follow all the rules and laws, applying them diligently to solve the problem.It is OK, not wrong.However, sometimes by loo...
Algebra - Why the need?
In doing math, we are actually trying to use a systematic approach to arrive at an answer. It trains the brain to trouble-shoot problems for a consistent result.Many a times, problems or questions can be solved through guessing and checking the answe...
A Good Quadratic Solver
I chanced upon a good math solving tools that every math learners will love.Even though you may not use it to solve math problems, you can take this Quadratic solver as a guide to check your answers.It is a user-friendly tool that can give you the an...
"+" Its Many Interpretations
Maths consists of many symbols. The four basic maathematical operators are the "+", "-", "/" and "x".We use them easily in many maths expressions. In normal usage, they are maths operator. But there are some instances where their meaning deviates and...
How To Get Gradient and Intercept from Two Points
Gradient and intercept are two key items to a straight line expression.In maths, to obtain the equation of a line from two given co-ordinates, we inevitably think of graph plotting. This is one good way to obtain the answer by finding the gradient an...
Why Do We Study Quadratic Equation?
In maths class, we are hammered with expressions after expressions of quadratic equations. We are taught how to solve for its roots. We are taught all the necessary methods or mathematical techniques to handle quadratic equations.But after all these,...
Merit of Grouping in Maths Solving
For those who do maths at above elementary level, you will encounter many terms involved in the already many steps to solve a mathematical question.Example is the solution of Partial fraction, that is highly needed in calculus.One of the steps needed...
Tips To Reduce Errors Doing Simultaneous Equations
Solving simultaneous equations involves many simple steps. The simple steps mostly include addition, subtraction and multiplication.Though the mathematical operations are simple, mistakes made while solving simultaneous equations are aplenty. The err...
Fun Mathematics With Calculator (2)
Calculator can be used to test for algebra understanding. Make use of it to get the answer for the below.Maths Question:I need to multiply 12457 by 3412. But found that the "x" button is faulty. How else can I get the answer?Hint: Make use of divide....
