MATHS TRICKS | MENTAL DIVISION (FULL GUIDE)

MATHS TRICKS | MENTAL DIVISION

MATHS TRICKS is a trick to solve the solution of mental division, Learn math tricks and shortcuts. Here we will teach you multiplication tricks, division tricks and many more shortcuts of tricks and tips. Math shortcuts trick 100% fast and easy.

CHAPTER 4

 These quick mathematical tricks will help you solve math problems easily, quickly and efficiently in competitive exams with the help of Mathemagics workbook formulas.

MATH TRICKS provides you to calculate numbers easily so as we have learned previous CHAPTERS. The mental division is a particularly useful skill to have, both in business and in daily life. How many times a week do you face situations that force you to split? Are things uniform, like a check at a restaurant?

 This same ability is useful when Want to calculate the cost per unit of a box of dog food for sale, or divide the pot into Poker, or to calculate how many gallons of gas you can buy with a $ 20 bill. The ability splitting in your head can save you the inconvenience of having to pull out a calculator every time you need to compute something.

With MATHS TRICKS mental division, the calculation method from left to right is unique. This is the same method that we all learned in school, so you will do whatever comes naturally. I remember when I was a kid I thought that this method of division from left to right is the This is how all the arithmetic should be done. I have often speculated that if schools could have they discovered a way to teach division from right to left; they probably would have done it!

1 DIGIT DIVISION

The first step by MATHS TRICKS dividing mentally is to figure out how many digits there will be in your answer. To see what I mean, try the following MATHS TRICKS problem in size:

So here to solve 176%7 it, we are looking for a number, Q, such that 7 times that is 179. Now, since 179 is between 7 x 10 = 70, and 7 x 100 = 700, Q must be between 10 and 100, which means that our answer must be a 2-digit number. Knowing that we first determine the largest multiple of 10 that can be multiplied by 7 whose response is lower 179. We know that 7 x 20 = 140 and 7 x 30 = 210, so our response should be in the 20s.

At this point, we can really say the number 20 since that part of our response will be it certainly does not change. Then we subtract 179 - 140 = 39. Our problem has now been reduced to the problem of division 39℅7   since 7 x 5 = 35, which is 4 out of 39; so here we have the rest of our answer, namely, 5 with a remainder of 4, which we can now say. In total, we have said our answer, 25 with a remainder of 4, or if you prefer 254/7, this is what the process looks like:

Answer: 25 with a remainder of 4, or 25 4/7

Let's try a MATHS TRICKS similar division problem using the same mental method

Calculation:

As before, since 675 falls between 8 x 10 = 80 and 8 x 100 = 800, your answer it must be below 100 and, therefore, it is a 2-digit number. To divide 8 into 675, note that 8 x 80 = 640 and 8 x 90 = 720. Therefore, your answer is 80 something.

But what is that "something"? To find out, subtract 640 from 675 for a remainder of 35. After saying the 80, our problem has now been reduced to 35%8 since 8 x 4 = 32; the final answer is 84 with a remainder of 3. We illustrate this problem as follows:

ANSWER-

Like most MATHS TRICKS mental calculations, division can be considered a simplification process. The more you calculate, the simpler the problem becomes. What started as 675%8 was simplified to a smaller problem 35%8

Now let's test a MATHS TRICKS division problem that results in a 3-digit answer:

947% 4

You can immediately say that your answer will have three digits because 947 fall between 4 x 100 = 400 and 4 x 1000 = 4000. Therefore, we must first find the largest multiple of 100 that can be compressed in 947. From 4 x 200 = 800, our answer is definitely in the 200s, so go ahead and say it! Subtract 800 from 947 gives us our new division.problem, 147%4 From 4 x 30 = 120, we can now say 30. After subtracting 120 from 147, we calculate to get the rest of the answer. In total, we have 236.

With a remainder of 3, or 236 3%4.

Answer: 236 ¾

The process is just as easy when dividing a 1-digit number into a 4-digit number, as in our next example.

2196 % 5

You can see that the answer will be in hundreds because 2196 is between 5 x 100 = 500 and 5 x 1000 = 5000. After subtracting 5 x 400 = 2000, we can say that 400, and our problem was reduced to 196 ÷ 5, It can be solved as in the previous examples.

 Answer: 439 1/5

    Exercises: 1 digit. Division

DECIMALIZATION

MATHS TRICKS is a trick as you can imagine, I like to work some magic when I convert fractions to Decimals In the case of fractions of 1 digit, the best way is to commit the following the fractions, from the middle to the eleventh, to the memory. This is not as difficult as it seems. As you'll see below, most of the fractions of number one have special properties that make it hard to forget. Each time you can reduce a fraction to the one you already know, it will speed up the process. Most likely, you already know the MATHS TRICKS decimal equivalent of the following fractions:

Keep in mind that the same pattern of numbers is repeated in each fraction. Only the starting point varies. You can calculate the starting point in a flash by multiplying .14 by the numerator In the case of 2 / 7.2x.14 = .28, use the sequence that starts with 2, that is, 285714. Also with 3/7, since 3 x .14 = .42, use the sequence that begins with 4, namely .428571. Likewise the rest.

I am trying to show you how to calculate very easily with the aid of MATHS TRICKS.

You will have to calculate fractions higher than 10/11 as you would with any other problem of division, However, keeps your eyes wide open to find ways to simplify such Problems. For example, you can simplify fraction 58/16 by dividing both numbers by 2, to reduce it to 29/8, which is easier to calculate.

If the fraction is an even number, you can simplify the fraction Reduce it by half, even if the numerator is strange. For example:

Divide the carpets and the denominator in half to reduce part 7.

Although the seventh sequence shown above does not provide a 4.5 / 7 decimal point for a single time the calculation begins and the number you saved appears:

As you can see MATHS FORMULAS, you do not need to solve the whole problem. Once you have reduced it to divide 3 by 7, it can make a big impression on an audience by sounding this Long string of numbers almost instantly!

Exercises: Decimalization.

To solve the following problems, do not forget to use the various 1-digit digits.

Fractions that you already know as decimals. Where appropriate, simplify the fraction. Before converting it to a decimal.

FRACTIONS

If you can manipulate whole numbers with the formulas of MATHS TRICKS, then doing arithmetic with fractions is almost so easy in this MATHS TRICKS chapter, we review the basic methods of adding, subtracting, Multiply, divide and simplify fractions. Those who are already familiar with fractions. You can skip this segment without losing continuity.

Multiplying fractions

MATHS TRICKS is also showing you to multiply two fractions, simply multiply the higher numbers (called numerators), then multiply the numbers below (called denominators). For example,

What could be easier! Try these exercises before moving on.

Exercises: Multiplying Fractions

Dividing Fractions

Dividing fractions is as easy as multiplying fractions. There is only one extra he passed. First, turn the second fraction (this is called reciprocal) and then multiply. For example, the reciprocal of 4/5 is 5/4 Therefore,

Exercises

Now is your turn. Divide these fractions,

SIMPLIFYING FRACTIONS

Fractions can be considered as small division problems as we learned MATHS TRICKS session. For example, 6/3 is the same as 6℅3 = 2 the fraction 1/4 is equal to 1℅4 (which is 0.25 in decimal form).

Now we know that when we multiply any number by 1, the number stays the same. By 3/5 = 3 / 5x1, but if we replace 1 with 2/2, we get 3/5 = 3/5 x 1 = 3 / 5x2 / 2 = 6/10 therefore, 3/5 = 6/10 equally But if we replace 1 with 3/3, we get 3/5 = 3/5 x3 / 3 = 9/15. In other words, if we multiply the numerator and the denominator by the same number, we obtain a fraction that is equal to the first fraction.

For another example

It is also true that if we divide the numerator and the denominator by the same Number, then we get an awesome fraction that is equal to the first.

For example, 

This is called simplifying the fraction.

Exercises

For the following fractions, can you find an equal fraction whose denominator is 12? 

Simplify these fractions.

Adding Fractions

This MATHS TRICKS formula shows you: equal denominators. If the denominators are equal, then we add the numerators and keep the same denominators.

For example,

Sometimes we can simplify our response. For example,

Exercises

The most complicated case: unequal denominators. When the denominators are not the same, then we replace our fractions with fractions where the denominators are equal.

Exercises

The problems in the last exercise became easier because the smaller ones denominator divided into the largest. But what if that is not the case? How could we add something like 1/4 + 2/7? The trick is to create a common denominator by multiplying the top and bottom of each fraction by the other denominator.

For example,

Exercises

Subtracting Fractions

Subtracting fractions works much like adding them together. We illustrate it with example. And provide exercises for you to do. 

Exercises

Well, we have learned how MATH TRICKS works with the aid of MATHEMATICS WORKBOOK FORMULAS so let's move in the next session but before going to next session you have to practice more once you get hot the MATHS TRICKS formulas work then only come in next session.

RELATED CHAPTER 1, CHAPTER 2, CHAPTER 3, CHAPTER 4, CHAPTER 5

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