# 5 Vedic Math Secrets for Every Student to be a Math Genius

Did you ever hear about Vedic Math and wonder what exactly is it? Vedic Math is derived from the ancient Indian scriptures called as the Vedas. The Vedic math is very ancient and it has many interesting tricks and facts which can help improve a student’s ability to solve the given question. We will look through some Vedic math secrets that you can apply in your math problem solving. This should make you not only solve the questions faster but also very efficiently.

Here are some methods:

1. Squaring of a number ending in 5.

Find the value of 352?

The number ends in 5 the square of it should always ends with 25. In front of 25 place 3 x 4 = 12. That is the product of 3 and its consecutive number which is 4. Follow the diagram for a better idea:

Did you follow the trick? The more you practice, you will be able to solve these questions in one step. Now let us look at the longer version for the same question:

Take a look at one more example to master the skill.

Find the value of 952?

Here since the number is ending is 5, the square will end in 25. In front of 25 place the product of 9 and 10. Follow the diagram to apply the method:

This can be applied to three digit numbers as well. But the point to note is the number should end in digit 5.

Find the value of 2052?

The number ends in 5, so the square of the number will end in 25. For the next step follow the diagram below:

The answer for the three digit multiplication for 205 x 205 = 42025. Check the answer in the longer method as well you will get the same value. 2. Square of numbers between 30 to 70? In this method we can find the square of the number between 30 and 70 within no time. Usually it takes us the regular multiplication method or the calculator to find the square of a number. Imagine, if you can solve it in the mind in a fraction of few seconds. Find the value of (51)2? Step 1: Find the difference between the given number and 50. You get 51 – 50 = 1. Step 2: Now add the difference to 25, this gives 25 + 1 = 26. (These are the first two digits.) Step 3: The last two digits of the square will be equal to the square of the difference.

Follow the diagram for the next step:

Find the value of (64)2?

Step 1: The difference between the given number and 50. You get 64 – 50 = 14. (As 64 > 50)

Step 2: Now add the number 14 to 25, this gives 25 + 14 = 39.

Step 3: Calculate the square of the difference 142 = 196.

For the last step follow the diagram.

Find the value of (44)2?

Step 1: The difference between 50 and 44. You get 50 – 44 = 6. (As 44 < 50)

Step 2: Now subtract the number 6 from 25, this gives 25 – 6 = 19. (First 2 digits of the square.)

Step 3: Calculate the square of the difference 62 = 36. (Last 2 digits of the square.)

For the last step follow the diagram.

Hence the number is 442 = 1936. (Practice this method for more numbers.)

3. Subtracting any given number from 1000.

In this method for the given number that has to be subtracted from 1000, subtract the ones place by 10 and the remaining numbers by 9. For a better idea try to follow the examples shown below:

Find the value of 1000 – 356?

For this question subtracting 6 from 10 and 3, 5 from 9. Follow the diagram below:

Hence 1000 – 356 = 754.

Once you get a hold of this method you will be able to subtract quickly in your mind. This can also be applied to numbers when subtracted from 10 or multiples of 10, such as 100, 1000. 10000 and so on.

Let us take a look at another examples:

Find the value of 10000 – 8943?

Here subtract the digits in 8943 such that, ones place is subtracted from 10 and the remaining numbers from 9. Follow the diagram:

Hence the answer to 10000 – 8943 = 1057.

4. Finding the cube root of a given number.

In this method you will be able to find the cube root of any given number within a fraction of few seconds. You need the values of cubes from 1 to 9 for finding the cube roots. Here is the list:

The number 2744 has a cube root. Find the cube root 2744?

For this method you need a confirmation that 2744 has a cube root. Once you are sure of it, check the last number which is 4. Which cube in the list has the last number 4? 43 = 64. Now cross of the last three numbers and follow the diagram below:

The number 593919 is a cube of a number. Find the cube root of the number?

Here the given number is ending with 9, so the last digit of the cube roots should be 9. Since 93 = 729. For the next steps follow the diagram below:

As observed in the diagram above after crossing the last three numbers 59 is closest to 27 which is 33. Hence, the cubic root is 39.

5. Division of numbers made simple.

Find the value of 72 divided by 5?

Here the number 72 is divided by 5. Observe the number 5 can be written as 5 x 2 = 10.

The solution can be found easily within no time as follows:

Find the value of 64 divided by 25?

Here the number 64 is divided by 25. Observe the number 25 can be written as 25 x 4 = 100.

Follow the diagram below to get the solution:

Hence the value for 64/25 = 2.56.

This can be applied to bigger numbers as well such as:

Find the value of 567 divided by 20?

Here as well take a look at the divisor which can be written as 20 x 5 = 100.

The next step is to multiply the numerator and denominator of 567/20 by 5.

Hence the solution for 567/20 = 28.35.

Did you observe math calculations which usually take many steps to solve can be calculated in the fractions of few seconds? Well there are many more math secrets which can make using the calculator optional. So keep learning and engage yourself in discovering many more tricks. All the Best!

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# How to Study For a Math Test the Night before the Exam?

Many student try to study for a math in the same way as they would study for geography exam. But in a real world they are not the same subject. You need a structural way to memorize formulas and equations and the best way to learn them by using and practice math. Here are few tips that will help you plan on how to study for a math test the night before and help you with getting a higher grade.

First of all you need to decide why are you studying? Do you want just a passing grade, maybe a B or even to ace the exam? Answer this question and stick to your decision. Many students think they want to pass the exam with a C but the more they study, the more they realize that they would prefer an A. Getting an A is great, but still it requires much more effort than a B.

### Do not try to learn anything new

If you attended classes as you should have, you probably know a few things already, you just don’t realize that yet. Have a quick look through all your notes and study materials and decide what things you already know. Once that is sorted, you can concentrate on knowing them better. Learning new things the night before the exam can be tricky, as sometimes the stress and panic can make your brain forget the things it already knows to make space for what you are learning. Even if you know just 60% of that class, as long as you know it very well, you are guaranteed to pass.

### Stay away from distractions

Many students tend to waste time while studying. It can be either because of their friends, taking small breaks, not finding a pen or getting hungry. Make sure that before you start studying, all these distractions are out of your way. Eat well and healthy, make sure you have all your study materials and resources and take care of any other physical needs you may have. If you do this, you are less likely to lose focus during your study time. And if you like listening to study music, make sure that it is free of lyrics, as listening to 50cent is definitely not a wise choice.

### Use note-cards to remember formulas and techniques

Note cards are a student’s best friend when it comes to exams. These are the most simplified form of your actual course notes. Try to keep them as clear and short as possible, without any examples or complicated sentences. Once you have these note cards done, use them wisely, as they will help you see what you know and don’t know.

### Get some sleep

A lot of students think that studying the night before the exam, it actually means all night. They couldn’t be more wrong. The brain can only concentrate for so many hours, so if you study for an entire night, you will be tired during the exam. Drink lots of water and keep few snacks items with you before you study. This will stimulate your brain and will help you memorize and work on math problems.

### On the day of the exam

Plan to show up at least 30 minutes earlier than the exam time. Keep calm and do not panic if someone tells you something you don’t know. Most likely, they did the same as you, learned very well what they already knew. Also, try to review once more your note cards. Start the exam with the questions you already know and leave the rest at the end. Always keep calm and stay positive and confident of your final preparation for math and focus on one goal that you can do it. Good Luck!

# How To Study For A Math Test Without Losing Your Mind

Math requests not to lose mind, be rationale, have explanatory abilities, and discriminating logic from children when they attempt to take care of issues in any Math arena. Let me explain few tips that will let students know on how to study for a Math test without losing their mind.

## Let’s begin with how to study for a math test tips and tricks

### Get engage in the subject

If students keep themselves engaged completely in solving Math issues, they don’t get confounded amidst an issue and will proceed without a battle to land at answers. Else, they think that it’s hard to finish Math assignment, and ultimately they score less in the subject.

### Working on Math issues consistently

It is a customary practice which clears route for effective critical thinking in any part of Math. Kids comprehend the essential ideas and truths effortlessly when they endeavor issues all the time consistently. When they attempt numerous issues finally, their psyche gets used to critical thinking strategies and they make it a habit to solve any kind of problem in a specific course of time.

### Beginning with simple issues

Do not take up intense issues or extensive complex issues at the very beginning instead begin with simple ones. When children begin with simple ones, they comprehend the essential ideas altogether that it turns out to be simple for them to push forward to harder ones. If they take up hard problems from the beginning itself, they get stuck at the very begin, and lose enthusiasm as well as self confidence for taking care of any Math issues and would not endeavor any of them.

### Stirring up different issues

Doing same category of problems won’t trigger enthusiasm for students to study the subject. They need to stir up various level of issues and accordingly can focus on their Math work with interest and excitement. Further, it assists them with comprehensive distinctive ideas as clarified in diverse issues furthermore making getting them prepared for any extreme issue they encounter in their homework or tests.

### Tackling issues when studying with friends

At the point when kids do Math in a group of friends, they get new bits of knowledge and share their perspectives and thoughts regarding an issue. They can even know how to prepare for Math Final Exam and take care of an issue and utilize it successfully in the exam.

### Handle issues in a detailed way

When kids decide to take care of an issue in any of Math area, he/she needs to experience it in a regulated way and figure out arrangement with no doubt regarding the issue. Do not make the mistake of abandoning it in the center and bounce on to the next problem.

### Look out for math assignment help

Students can enjoy a reprieve when they handle an exceptionally intense issue or look for assistance from an best online math tutor, friends, family, or elder siblings who selflessly offer Math mentoring.

### Dominate Math tension with ease

This is the first of all methods for critical thinking in Math as Math uneasiness gobbles up all aptitudes of a student and obstructs his learning at the very beginning. Folks and instructors, physical coaches, or parents can help children in this matter with their patient methodology and positive approach.

### Comparing Math with cracking a nut

Math issues are dependably a hard thing to accomplish and kids feel overpowered numerous times during Math classes. Think of Math as cracking a nut and take up an orderly approach, standard critical thinking and group study for tackling Math issues, to make things simpler and capitalize upon the subject without much hustle.

### Study in parts from beforehand

Math is a threat to numerous parents and their siblings. Finishing lessons in parts in advance can help you not pile up things and helps you get over Math nervousness to overcome this terror as well as score high when you are appearing for the tests.

### Summing up…

Math is certainly a difficult subject to deal with. But by following the above tips such as getting completely involved, consistently solving problems, doing simple ones before moving on to complex ones, working on a variety of problems to avoid boredom, studying in group with friends, looking out for detailed solution, taking help from online math tutoring, playing with the subject, considering math as child’s play, and studying in advance not to pile up things, you as a kid or parent can certainly get rid of ‘mathphobia’, especially during exams.

# Become An Amazing Math Tutor: The Secret To Metal Math

Math is a very interesting and innovative subject, we start learning it from a very young age and use it all our lives. The secret to metal math can be understood when you want to solve questions much faster and efficiently. This can be applied for both the students and tutors. Often we wonder why the same question is solved by different people in different ways. This is the beauty of math, there are many ways and approaches to get to the same answer. One method can take more time and many steps whereas another method can take less time and fewer steps to reach the final answer. The thing to realize here is all the different approaches are right and you can follow which ever method best suits your ability to understand the given question.

Let us now take a look at some mental math tricks which will help you while solving different math homework help questions.

While changing the percentages to fractions, divide by 100 and for changing a given fraction to percentage multiply by 100. Here are some examples:

Betty went to trekking with her friends. She drank 75% of the protein shake she brought with her after trekking for 3 hours. What fraction of the protein shake does she have left?

For the above question we are given that 75% of the protein shake is finished. This implies the remaining amount is equal to 100% – 75% = 25%.

Therefore, the amount of protein shake Betty has = 25%. For converting the given percentage into a fraction divide by 100. Hence Betty still has 1/4 of the protein shake remaining during her trekking.

Did you find the example quite interesting? Now let us look at another example for changing fractions to percentages.

Samuel finished 1/5 of his homework. What percentage of his homework is still to be completed?

Here you are given that 1/5 of the homework is completed. This implies the amount of homework to be completed is 1 – 1/5 = 4/5.

Now for converting the fraction into a percentage multiply by 100. Follow the diagram given below and try to visualize the calculations mentally:

This method mentioned above is very useful because percentage are used almost in every branch of mathematics. Let us look at some quick applications of what we have just learned:

Percentage to fraction:

The above examples are for percent to fractions which can be quickly solved in your mind. Practice similar questions to realize how you will become much faster and efficient in your calculations.

Fractions to percent: Below examples are for quick conversion from fractions to percentages. After the percentages, let us take a look at how the fractions can be changed to decimals. Do you feel you already know them? Well remember, we are trying to learn the metal math. Here is how you can convert them in your mind. Take a look at the following questions:

Fractions to decimals: Change the fraction 2/5 into a decimal number. Here the given fraction is 2/5. The mental math trick is, for changing any given fraction to decimal number try to have 10 or multiples of 10 in the denominator. Multiply the numerator and denominator if the fraction 2/5 by 2. Follow the diagram below: Did you follow the method? This trick has limitation though it can only be applied to the numbers which get 10 or multiples of 10 in the denominator via multiplication. Let us look at more examples to perfect this method.

Convert 7/25 into a decimal number.

Look at the denominator here its 25, which can be changed to 100 on multiplication by 4. Hence multiplying and diving the given fraction by 4. Follow the diagram below, this needs to be visualized mentally.

Therefore the fraction 7/25 can be written as 0.28 in the decimal form.

Let me share another branch of math, Algebra where mental math tricks can be applied.

Adding the exponents: Combine the expression 3x4 (x5) Here for the given expression we have multiplication between the same variable x which needs to be combined. Since the base variable is the same for the given exponents add the powers. Here is the rule: Subtracting the exponents: Combine the expression 2x11/ x9. Here for the given expression we have division between the same variable x which needs to be combined. Since the base variable is the same for the given expressions subtract the exponents of x. Here is the rule: Multiplying the exponents: Combine the expression (x3)5? Here for the given expression we can combine exponents of the variable x by multiplying since they are raised to the same base. Follow the diagram below:

Therefore, today we looked through different methods and examples for solving math mentally. Use these methods to solve different questions whenever and wherever applicable. For more info you can chat with live math tutor online and get your math assignment help from amazing math tutors.

# 10 Useful Lessons You Will Learn During High School

High school is a critical learning phase in education. You develop into a fully fledged independent learner during this tenure and go beyond mere comprehension of topics to analyze the matter and understand the world around you.

Here are 10 valuable lessons you learn through high school education.

### 1. Importance of attendance

Making your presence in the class is the great part of the game. It also constitutes a good percentage of your grades. When it develops into a habit, your presence in the work place makes significant difference in your performance and helps you in winning promotions and bonus and making your contributions in the work areas worthy and notable.

### 2. Being punctual

More than being present, it is better to be punctual. Anyone who is punctual is acclaimed high and a person who comes late becomes an object of observation for teachers and students. It is good to give up tardiness and make punctuality as one of your essential values.

### 3. Putting in hard work

Hard work always pays off in your presentations, assignments or homework. Just skimming through night studies or superficial learning of the subject matter will not fetch fineness and perfection in your school work and as a high school student you will not win the grades aspired by you. Put your heart and soul in whatever you do and you can get the best for it. Seeking outside help like online tutoring, referring to grading guides for extra edge are skills you develop during high school years. This will continue through your life and career for success.

### 4. Socializing is important

High school offers lots of opportunities for socializing and there need not be any limit for keeping friends with your peers or others and can be intimate with them as well. It develops confidence and understanding of the world around you. Participate in social, academic and sports clubs as much as possible and make the most of your socializing.

### 5. Know your attitudes and aptitudes

While learning in high school you can have an understanding of what you are passionate about and what goals you want to achieve in academics and other areas. You can estimate what job you want to pursue and how you would go ahead with it. You have an opportunity to know about yourself without simply following the examples of others.

### 6. Be on good terms with teacher

Teachers are your guides and you need to be in their good books for getting right directions from them. When you are continuously keeping in touch with them, they understand that you value their time and try to see things in your way. Be attentive in the class, participate and ask questions. Attend office hours. All these help you make a good impression about you upon the teachers. This comes a great way when you pursue a career where your employer gets impressed by you at the very first sight.

### 7. Understand what kind of learner you are

Learning styles differ and you need to know what kind of learner you are. Experiment with various learning styles and find out which one comes naturally to you. Learning at your pace and style helps you comprehend the subjects well and go more than that to explore the subjects. This also helps you in your work place with critical thinking abilities and ability to navigate information.

### 8. Study in company

Studying with a buddy helps you greatly in getting constructive criticisms while rehearsing for a presentation or debate or oral exams. You get different insights about topics as well. Further, it is good cheers to make company and enjoy learning as a joyous process.

### 9. Working in groups

Team work is the essence of today’s work scenario in any career. Working in groups at high school level for a project, discussion or debate definitely brings forth good team spirit, co ordination, empathetic values in you. It even can develop a patient approach towards others and things. Lots of opportunities are available for you to pick up team work in high school which shapes your future requisite in advance.

### 10. Thinking critically

You are starting your journey into adult world by the time you reach high school. Now, it is time for you to understand and judge the world around you. It is not simple understanding of the subject that is expected of you but you need to go beyond that to critically examine what you learn. This critical thinking ability comes a great way in your future assignments in college and career.

### Conclusion

Thus, high school learning is crucial promoting good opportunities in you to learn valuable lessons for life, future studies and career. Make use of the precious time during this phase and cultivate life skills that come a long way in your life.

# 9 Must Know Methods for Solving Math Problems

Math has many topics and there are various kinds of questions related to each given topic. To solve a given math problem different kinds of methods and formulas can be used. Today, we will try to learn and understand 9 most basic and useful methods utilized while solving Math questions. Let us get started:

### 1. Method for calculating the LCM (Least Common Multiple)

Finding the least common multiple for the given numbers. I am pretty sure most of you have observed that LCM are part of problem solving for no matter which math topic you are working on. We need to calculate the LCM’s in simple topics like fractions, decimals and they may be also required to be calculated while solving questions in algebra, geometry and many more. Follow the example below:

What is the LCM of the two numbers 6 and 15?

For finding the LCM (least common multiple) first write the multiples for the given numbers.

Remember the 6 times table? Yes! They are all the multiples of number 6, so you have 6, 12, 18, 24, 30…. .

Now the 15 times table, don’t worry you need to check only till you get the common multiple.

So you have 15, 30, 45……………..

Did it strike a bell? Well look below for more clarity:

Hence the LCM for 6 and 15 equals to 30. (Sometime there can be more than one common multiple, always pick the least number as the LCM.)

### 2. Method for calculating the GCF (Greatest Common Factor)

Following the LCM is another interesting method in number theory. You guessed it right! The GCF (The greatest common factor.) For finding the GCF the Tree diagram method is very common. Here is a question: Find the GCF for the numbers 21 and 35? The first step is to write the tree diagram for 21 and 35. Try to follow the tree diagram below: Using this tree method, you will get 21 = 3 x 7 and 35 = 5 x 7. (Note: 1 is always a factor for any given number.) Here 7 is the common factor for 21 and 35, which can be written once as its repeating in both the numbers. The Greatest common factor includes the remaining factors from both the numbers as well. Do not forget to include the 5 and 7. Hence GCF for 21 and 35 equals 3 x 5 x 7 = 105. After the LCM and the GCF, let us look at the method for changing the decimal numbers into fractions. Follow the example carefully:

### 3. Method of converting the decimal numbers into fractions

Convert the given decimal number 0.3 into a fraction. Here given to us is a decimal number. Count the number of decimal places. The number 0.3 has only one decimal place. Now while changing into a fraction multiply the numerator and the denominator by 10 for every decimal place. Here, since there is only one decimal place multiply by 10. Try to follow the diagrams below: Hence 0.3 can also be written as 3/10.

### 4. Method for solving Unit and Total Price word problems

Time to solve a work problem on price and money:

Anna and Ben went to a park. Anna brought 3 balloons and Ben brought 2 balloons. Find the total amount of money spent if each balloon costs \$0.25.

For the given question you need to first calculate the total number of balloons Anna and Ben brought = 2+ 3 = 5.

Now comes the crucial point the decimal multiplication. Each balloon costs \$0.25, so 5 balloons costs 5 x 0.25. Need help? Look at the diagram below:

Hence the total price spent by Anna and Ben = \$ 0.75.

Well problem solving is incomplete without equations. The next few methods will help you solve equations.

### 5. Method for solving one step equation using Addition

Find the value of y in the equation y – 6 = 12?

In the given equation 6 is subtracted from y. So the reciprocal operation needs to be applied to the equation. Add 6 on both sides of the given equation. This gives:

Hence, the value of y = 18.

### 6. Method for solving one step equation using Subtraction.

Find the value of x in the equation x + 30 = 150? In the given equation 30 is added to x. So the reciprocal operation needs to be applied to the equation. Subtract 30 on both sides of the given equation. This gives: Hence the value of x = 120.

### 7.Method for solving one step equation using Multiplication

Find the value of y in the equation y/2 = 7? In the given equation y is divided by 2. So the reciprocal operation needs to be applied to the equation. Multiply by 2 on both sides of the given equation. This gives: Hence the value of y = 14.

### 8. Method for solving one step equation using Division

Find the value of x in the equation 5x = 45.

The given question has the equation with one variable x. I believe, by now did you get a hold of this method? The reciprocal operation of multiplication is division. Divide both sides of the equation by 5. This gives:

Hence the answer to the given equation is x = 9.

### 9. Method for solving Expressions using substitution

Now, what if there is an expression with more than one variables and you need to find the value of the expression. Here is what needs to be done:

Evaluate the value for the expression 4x – y, when x = 1 and y = 2.

Here for this question the method of substitution can be applied. You are given the value of x = 1 and y = 2. Hence substitute the values in the given equation to solve the question.

Not really sure how! Try to follow the diagram below:

Much better, isn’t it! So after substitution here is how the expression will look like: 4(1) – 2 = 4 – 2 = 2. Hence the solution = 2.

We are not done yet! These were just few methods to get you started on solving math problems. To know more chat with a live Math tutor online and get more interesting details about the topic.

# Geometry for Special Education Students With Emerging Math Skills

Geometry for Pre Kindergarten and Primary Grade kids concentrates on some essential subject skills like recognizing, naming plane figures and naming their properties. Plane shapes are two dimensional shapes that are on a flat plane. They include curved shapes like ovals and circles and many sided shapes like polygons.

Children with disabilities find learning and applying vocabulary hard. They should be trained to use their acquired skills without hassle.

### Sorting shapes

Sorting shapes is the beginning place. Instead of using geometric shapes to sort colors, you can name a sort. This will help children with limited knowledge understand shapes with ease. You can say: “We are having the shapes that have the same number of sides” or “Now, we sort curved shapes and shapes with straight sides” This would help them sort shapes better.

### Naming shapes

When you name shapes, you should make it clear that all squares are rectangles but all rectangles are not squares. You should make children understand that squares are rectangles with equal sides. A square is a sub category but it is frequently seen as a polygon in life and worksheets. So, students should be able to name it.

In kindergarten and primary grades like 1 and 2, students should be able to name squares, rectangles and circles.

### Defining plane figures

Students have to name three specific characteristics of each space

• Rectangle: A Rectangle has four sides .It has four sides with opposite sides which are equal in length and parallel. A rectangle has four angles in their corners (vertices).
• Square: A square is a rectangle with four equal sides. It means that the opposite sides in a square are parallel, opposite sides are equal and all vertices are right angles.
• Triangle; A triangle has three straight sides and three vertices. Its all sides meet to form a closed figure.
• Circle: A circle is a closed shape with a curved line. All points in the one line are of the same distance from the center point.
• Oval: An oval is a closed shape created by one curved side. One of the axes of the oval is longer than the other.

Thus teaching geometric shapes is an art. You need to do it with great care and reach out to young kids with proper techniques. If you chat with live Geometry tutor, you can know more strategies about the topics in Geometry and ways to get them across to kids for their better understanding.

# 9 Secrets To Know About Speed And Mental Math Tricks And Techniques

Math is definitely challenging but what makes learning math fun and interesting is that, there are some tricks and techniques which can actually make the calculations easy to solve. Today, we will try to learn some math tricks which can be applied in solving different kinds of questions.

### Multiplying a given number by 2

We all know the 2 times table. But what if 2 is being multiplied to a bigger number, there is a trick to make the multiplication quick and accurate. Think about it, multiplying by 2 it is nothing but doubling the given quantity. So to speed the calculations the given number can be added twice instead of multiplying by 2. For example 6 x 2 = 12.

This can also be got by 6 + 6 = 12. Now, if there is 32 x 2 = 64. This can also be got by 32 + 32 = 64.

Now applying this trick to bigger numbers multiplied by 2.

Find the value of 98340 x 2?

One method is the usual way of multiplying the given number by 2. But let us solve the same question with the trick of addition:

Hence 98340 x 2 = 1,96,680

### Multiplying numbers which are multiples of 10

Did you know 10 is a very interesting number when it comes to multiplication? For example, in a question you come across a calculation such as 23 x 10 all you need to do is place a one zero next to 23. That is 23 x 10 = 230.

Can this be applied to bigger numbers as well? Yes it can! Let us look at some more examples:

While multiplying, 45 and 50 one method would be the regular multiplication. By applying the trick here all that needs to be done is 45 x 50, first find the value of 45 x 5 = 225. Since there is 50 which is a multiple of 10 place a zero next to 225.

So we get 45 x 50 = 2250. Another example would be, 25 x 30. Here first do 25 x 3 = 75. Now since there is 30 place a zero next to 75. This gives 25 x 30 = 750

Question: Sam brought 19 boxes of candies. Each box contains 200 candy bars, find the total number of candy bars in all the boxes.

Number of boxes of candies Sam brought is 19. Each box contains 200 candy bars.

Hence the total number of candy bars equal = 19 x 200.

Try to follow the diagram below for the calculation:

### Multiplying a given number by 11

No matter what number is given to you multiplication with 11 can become quite simple, follow the trick here. Look at eleven, there are two 1’s. Now for example you have 14 x 11. First do 14 x 1 = 14 then to this add 140 which is 14 + 140 = 154?

So we get 14 x 11 = 154

Need a better idea? Follow the example below:

Find the value of 456 x 11?

Here first calculate 456 x 1 = 456 now add 4560 to it so you get 4560 + 456 = 5016

### Adding three or more digit numbers

In some questions, you may have had situations where more than 2 numbers need to be added, it can get more tedious if they are big numbers. Let me share a little secret that can make adding such numbers much easier. For example there is a word problem: Riya spent \$ 112 on shoes, \$ 216 on bag and \$315 on books. Find the total amount of money Riya spent on all the items. Solution: For the given question, the total amount of money spent equals the sum of all the given individual prices = \$ 112 + \$ 216 + \$ 315. Follow the trick here, rather than adding the individual number. Add the hundreds place first. Follow the solution:

### Squaring number ending in 5

This rule is applicable from 5 to 95 only (i.e., 5, 15, 25, 35, 45, 55, 65, 75, 65, 75, 85, 95.) and here is how it works! We have 5 x 5 = 25.

The trick is, for a number ending in 5 when squared always has to end in 25. So for a given number example 152 pick the tens place, which is 1. Now the number after 1 is 2. Multiply 1 x 2 = 2. Now place a 25 next to 2. We get 225.

Now for 25 x 25. Here, 2 is in the tens place. What is the number next to 2, 3. So do 2 x 3 = 6. Now place a 25 next to 6. We get, 25 x 25 = 625.

Let us follow the diagram for clarity, take 65 x 65.

Hence 65 x 65 = 4225

### Divisibility rule for number 2

Here is a quick mental math trick to find weather a given number is divisible by 2 or not just by looking at it. If a number is ending with an even number then it is divisible by 2.

What are all the even numbers between 0 and 9 (0, 2, 4, 6, and 8).

Look at an example: 48 here 8 is an even number so it is divisible by 2. Now 51 is not divisible by 2 as 1 is an odd number. Apply the same for big numbers.

Find out if 4576 is divisible by 2? Prove it!

Here 4576 is ending with number 6. Since 6 is an even number the given number is divisible by 2. Follow the diagram for a quick check:

### Divisibility rule for number 4

Now that you are familiar with the divisibility rule for 2. Let us quickly check the divisibility rule for number 4. When it comes to 4 always check whether the last 2 numbers are divisible by 4. Consider 324 here it’s clearly know that 24 is divisible by 4 so 324 will be divisible by 4. Now let me give you another example:

Here again use the trick and figure it your mind. 08 are the last two numbers of the given number. Since 08 is divisible by 4, 5608 is divisible by 4. Let’s check if we got it right look at the diagram below:

### Divisibility rule for number 5

Did your math calculations get faster on the divisibility part? Now let us follow the trick for checking divisibility with number 5. For number 5, the given number should end either with 0 or 5. Take an example of 560 it is divisible by 5 since its ending in 0. Whereas 432 is not divisible by 5 since its ending with 2 not 0 or 5. Look at the following question.

Here the given number 890 is ending in 0, so it is divisible by 5. Let us check the answer, follow the diagram below:

### Combining the like terms

Many students find adding and subtracting like terms very confusing. Let us look at a simple way of solving this kind of a question. Did you know there is a trick with which you can solve the combining like terms in your mind? Here is what can be done:

Consider a question for finding 5x + 6x.

A like term is a term which have the same variable. Here it is x. Now for adding 5x and 6x since x is the same, just find 5 + 6 = 11. Hence 5x + 6x = 11x.

Find the value of 3x + 7x + 10x?

All that needs to be done is add the numbers and place the common variable x next to the sum. Take a look at the diagram below:

Hence the solution is 20x.

Therefore, practice these tricks and apply them in your math calculations. You will be amazed how they will aid in speeding your calculations. If you still need help, chat with a Live Math Tutor Online Now!

# Some Interesting Back To School Expectations Versus Reality

Expectations are always different from reality. Back to school is a time for jubilance and cheers with everything new for a student. You feel great to look in your new outfit for the first day with a trendy backpack and your favorite lunch bag. It is a basket of expectations you carry along with you when you enter the portals of your school or college. Reality is something else which disappoints you in various things. What are your expectations in back to school and what is reality?

## Expectation 1

### Trying to look trendy every day with smart outfits

You think your wardrobe is the best and you have bought everything marvelous on earth. You imagine that you would look gorgeous with your signature costumes and other accessories.

## Reality

You are in for a disappointment on the very first day with angelic girls looking pretty in their smart wears and handsome guys moving around in their best outfits to attract the eyes of everyone around. Oops, you are not the only one who looks smart, sweet, new and fresh in a trendy dress. What to do for every day trendy look?

## Expectation 2

### Finding your old classmates and friends in the new school or college

You have been to a new place and your friends should be hanging out somewhere in the corridors or can teen. You could greet them, chat with them, share a bit of your summer experiences. You would not feel out of home and find at least some familiar persons.

## Reality

Not a single one of your familiar acquaintance you could find. Not even Jennie who was your bitter enemy last year. Well, you are to move ahead with new friends. Would you get one as close as Jamaica of last year? Wait and see.

## Expectation 3

### Dismissal of the first day class in a very short time

You are asked to introduce yourself in the class. Others do. Then the teacher or professor dismisses the class and lets you go. You enjoy the rest of the time with friends or come back home fast and enjoy that sleep which you have missed a little after your transitional bed times. Or enjoy a movie or rock at a hotel.

## Reality

Yes, you introduce yourself. Does that end with that? Professor goes on and on and you sit for a long time in the class. Long drawn face with sleepy eyes…uh?

## Expectation 4

### Thinking of bagging the best homework gift

You imagine with the best homework gift basket in the end of the term and everyone smiling at you and yourself beaming with cheers. Start your homework schedules with a planner from day 1? Yes, it is … it is your dream…..but are you doing?

## Reality

You get boggled by a Math sum in the very first day and get stuck with a Science topic. Where was your dream and what is is the reality? Upward grades? Nay…down and down rather…. By the by…why not consult an online tutoring center for your homework hassles? They prove good for making your dream into reality -winning fabulous gifts for your top scores in homework in the class.

## Expectation 5

### Staying organized with an arranged back pack

Your back pack is well organized with school supplies, mobile apps, calculators and texts. Well, you are ready every morning with everything well set without morning anxieties. Is that true?

## Reality

Your backpack is disarranged. Mom is sure to shout in the evening…What about your room? Is it spick and span? Aye… everything is in a mess. After all, first week’s anxiety is there for all in back to school. Don’t give up hope… try to get back to normalcy.

## Expectation 6

### Great partying with old and new friends

It is all great galore of joy with partying and enjoying. Late night hang outs can even be. Your friends and peers sharing best birthday bashes….

## Reality

Boring parties leading you to sleep awhile and dawdle. When are you going to get that dream party you imagine?

Yes, many more expectations can be there and you would miss most of them in reality when you are back to school. Why don’t you share some of them with us?

# Do You Hate Math? 5 Ways To Instill A Love Of Math In Kids

We find many students hate Math from the bottom of their hearts and they do not know the reason for it. This leads to negative scores in Math and their lack of understanding the value of Math in life.

### It is the greater parental duty to instill a love of Math in kids and there are ways for it. Here are they:

Be a Math myth buster: There are many myths about Math. It is a general feeling that Math doers are gifted brains with special abilities. Some feel that Math skills are inherited from parents. Some feel that boys do better Math than girls. The fact is anyone who perseveres and works hard in Math is able to achieve with it. Parents have to instill this positive feeling in their kids and make them realize that Math is within their reach, once they persevere. One more thing is that they should avoid all casual comments about Math like “I am not good at Math“ or “ I was very good at Math” or “What good Math does in your career?. All these comments impact the kid’s mind one way or the other and affects his studies.

Create positive vibes about Math learning: Do not give false pictures about Math. Don’t say Math is hard or it is easy. Make your kid understand that Math is an important aspect of his learning with real life situations. Ask him to calculate the grocery bill and help him choose a birthday gift which is really worth its money. Make him understand that Math is essential for his achievements in life.

Make Math an early learning: Expecting kids to learn Math by themselves is an error. It can turn negative also. Some kids like Math and most of them hate Math. This is due to the exposure in class or bullying peers or sheer negligence on the part of the kids. They should love Math, true, they should also take Math seriously. Expecting kids to add, subtract or multiply without mistake from their early age is not wise. Instead, small activities like counting the plants in the garden, calculating the time for your favorite TV show are those that kindle enthusiasm in kids to learn Math.

Play games: Anything learnt with fun is loved by kids and they do not realize the toughness of the matter. You can use the computer games, apps for playing Math games and make Math learning an inspiring one. Anything implanted in mind with enthusiasm has been getting imprinted in the mind forever and so is Math through games and fun activities. Children like to learn Math and start doing the subject without compulsion. Joining online Math tutoring centers will help you a lot in this aspect as the tutors help your kid with many interactive games and make a fun atmosphere in Math classes.

Teach them stress busters while will Math: Math exercise, lots of stress on kids and they wear out very soon. Ask them to take a deep breath or listen to music for some time. They can even go for a small walk or watch their favorite movie for a diversion. Taking meditation classes and even physical exercises are good in this matter. Encourage the kid to face Math with a challenging attitude and tackle Math sums with courage.

### Conclusion

It is the right attitude to do Math that should be developed in kids through encouraging words and fun activities. You can approach online Math tutors for more tips and let your kid on the right path to successful Math.