During our student life (school or post-school), search for useful knowledge resources for learning arithmetic, algebra, trigonometry or some other stream of mathematics is never ending. Here let us discuss few such online free sites, which can be very useful in learning maths. These resources available for free on internet can help us learn fundamentals of various basic to advanced level topics of mathematics. Some of these also provide online tests for practice and solutions to thousands of questions.
Khan Academy - According to me nothing on internet can beat the zeal of Mr. Salman Khan who has produced more than 3400 videos on diverse topic and has extensively covered Mathematics from basic to advanced level in his wonderful video lectures. Best part is all the lessons are absolutely free for everyone.
We need to deal with recurring or repeating decimals in school, in our competitive exams and even later. Today we’ll discuss a shortcut trick to convert recurring decimals to fractions. However, to understand it’s effectiveness, we need to first understand the method taught in schools.
Just follow the steps below carefully. Say you need to find the value of 0.44444……
Step 1: Let x be the value of the repeating decimal which you are converting to fraction
x = 0.44444444…
We know the repeating digit is 4
Step 2: Multiply x by a power of 10, such that the resultant has same repeating digits on the right side of decimal. In this case if we multiply 10 both side, we get –
I have been asked these questions a lot of times. The wordings of the questions are different but the underlying query is the same.
I am sure you might also have similar questions as mentioned below in your mind –
- What books should I read before I go to MBA College? Or,
- Suggest me the best books before I go for my MBA? Or,
- Good books to read prior to MBA, or,
- Interesting books to read to develop reading habits before I go to B-School
Today I thought of writing this post with these questions in mind to help everyone reading FireUp’s blog. I believe you need to be a voracious reader to be successful as a manager. I am giving you a list of books which I feel is must read for every MBA aspirant. So here goes the list –
How the Chaos Theory is used in forex trading
The financial markets are entirely based around number fluctuations, so it comes as no surprise that mathematical theorists have attempted to map their theories to them. The end goal is of course to be able to successfully predict market movement in order to maximise profit. If you can apply a mathematical system to your method of financial trading successfully, then this becomes easier.
One of the most interesting approaches that can be applied to forex trading (currency speculation) is the Chaos Theory. The Bill Williams Chaos Theory is the most widely recognised use of the idea. Williams asserts that the results of trading are not just influenced, but determined by human psychology. The ability to reveal hidden determinism in market events (which appear to be random) therefore results in profitable trading.
Have a look at these special numbers: 1233 and 990100. Do you notice anything special in these numbers?
Yes, these numbers are out of the ordinary indeed. If you break such numbers into two equal parts and add their squares, you recover the same number.
1233 = 12^2 + 33^2
990100 = 990^2 + 100^2.
Can you find an eight-digit number N with the same property, namely that if you break N into two four-digit numbers B and C, and add their squares, you recover N?
Questions on conversion of numbers in some base to some other base is very common in competitive examination. Here in this post I present a simple technique to help you do such conversions.
First, let us understand what do we mean by number bases or systems. In our decimal number system, the rightmost position represents the “ones” column, the next position represents the “tens” column, the next position represents “hundreds”, etc. Therefore, the number 123 represents 1 hundred and 2 tens and 3 ones, whereas the number 321 represents 3 hundreds and 2 tens and 1 one.
The values of each position correspond to powers of the base of the number system. So for our decimal number system, which uses base 10, the place values correspond to powers of 10:
... 1000 100 10 1
... 103 102 101 100
This time I thought of giving you the crux of the whole article at the very beginning. See the formulae above and you will know what I am talking about.
We live in the age of information, and we must read extensively if we intend to be successful in our studies, or careers. Schools and colleges have discovered that courses in reading skills give enormous aid to students struggling under the heavier loads of today's scholastic programs. Young men and women trained in speed reading show distinct advantages over those who lack this kind of skill. For any competitive examination preparation, Speed Reading is an essential requirement. It is not only a must have skill for reading comprehension and verbal ability section but for the entire paper. Most of the examinations test your accuracy as well as speed.
How fast you can be?
Reading speed has no known theoretical limit. A speed of between 800 and 1200 words per minute (wpm) can comfortably be reached by permanent speed readers, without any constant practice and drilling. Reading speed varies according to the complexity of the reading material, type, face, print quality, grammar, style etc.
How to Make Mathematics More Interesting?
Math can often times be one of the more boring subjects for children to learn when they are young, which can greatly affect their learning abilities later in life. A person may find math to be boring or difficult because they didn't develop an interest for it early in life. By finding ways to make math fun, children will be more inclined to learn and may actually enjoy the process.
Fun in the Kitchen
There are a ton of different ways to make mathematics fun, a lot of which start in the kitchen. Cooking is the perfect time to show kids that math can not only be useful but fun as well. The typical way to teach children fractions usually involves a pizza or a pie, but instead of explaining to them how fractions work, show them. Have your child be the chef for the day and tell them that they need to put different toppings on the pizza depending on the fraction. For example, tell them only 1/2 of the pizza should be plain, 1/4 should have pepperoni, and the other 1/4 should have sausage. By giving them a visual, it will enable them to understand fractions better. Fractions can also be taught using measuring spoons. Whether baking something or putting together a meal for dinner, measuring cups and spoons are another great visual for them to understand fractions. They will see that 1 cup is a lot bigger than 1/4 cup and that 1/3 cup is actually bigger than 1/4 cup.
This is a guest post by Sudeep Shukla
The statement- "When x is divided by z, it leaves y as the remainder." is represented in modular arithmetic as-
It can also be interpreted as "x and y leave the same remainder when divided by z." This is also known as the congruence relation and we can say that "x is congruent to y modulo z."
There is a property of this relation which is very useful.