How To Improve Your Skill At Solving Math Problems?

Math is many a student’s nightmare and is often the culprit that causes GPA trouble. The main problem that most students face with math is the fear of failure. Math has been deemed to be a trouble maker since generations and it is true that math requires understanding. However, this needn’t stand in the way of performing well in the subject. Here are a few tips that top online math tutors swear by to help students fare better in the subject.

math tutoring

#1: Work out examples first and then move on to practice sets

Examples are already solved! Going through them once and then attempting to solve them will help you at least trace through a few steps that and find where you get stuck. This will help you identify what exactly you don’t understand and where you need more work. This helps students identify their issues and work on them till they gain confidence enough to work on problem sets.

#2: Think the problem through and identify the steps mentally before writing anything down

This gives you a lot of perspective about the problem. Think it through and start writing down important things you need to solve the problem. When you try and identify the steps mentally, you already have it mapped out in your head and this will help in eliminating doubt and uncertainty. Trying this out during homework and assignment problems will help you do the same in exams as well. Before you look for assignment help, try and do it yourself and seek help after giving it a try.

#3: Numeracy skills can help you cut down on errors

This skill can help you in day to day life too! Basic arithmetic is important even in supermarkets and many real life situations. Also, with practice, you will know when you arrive at an answer that doesn’t seem right, it probably wouldn’t be and you can reduce the number of mistakes in your answer paper with numeracy skills! In fact, studies show that good numeracy skills can help you stick longer at jobs and help you become competent.

Apart from these tips, practice and understanding are the keys to excelling at math. When in doubt, ask your teacher. If you don’t find personal attention, get the help of an online tutor for math homework help and work diligently till you grasp the concept. This will help you score well in exams and have a great GPA too! Good Luck!

Can You Do Assignments Easily?

assignment help services

Assignments are a hectic chore for students. Those who procrastinate doing their homework find it still more difficult. Proper organization and good research make your assignment writing hassle free. Parents also can lend their hand for their kids’ successful assignment submission.

Smart tips for easy assignment doing

Make a schedule

Prioritize your assignment tasks. Choose the difficult ones first and then go over to the less difficult ones. Choose the same time every day. Your mind gets trained to sit for academic work, when you keep up particular time frame. But for unavoidable circumstances, maintain the same time every day.

Organize your material

When you sit for assignment writing, make sure you have all the necessary material like references, writing paper etc. on hand so as to avoid diversions and wastage of time. Jot down on a paper what you need to do with the assignment.

Know your requirements

Know what you are supposed to do with the topic and how far you are ready for it. Not every assignment is easy and you need to research the topic for in-depth knowledge and best assignment scores. Assignment help online provides well researched material for your topics.

Seek help once you require it

When you grope for right answers or need some kind of help for an intriguing topic in a difficult subject, ask your peers or teachers or seek assignment help experts at once for saving time and completing assignments. Your work is done and your knowledge is also expanded.

Last but not the least- Don’t procrastinate

Procrastination does not allow students to complete any work on time. Do things on the stipulated schedule with a determined will and do not allow any diversion to intrude upon your study time.

Parents’ role in successful assignment submission of their kids

Parents can help kids in understanding assignment tasks, organizing a study schedule and researching assignment topics. In case their kids fumble over intricate chapters, they can seek assignment help services online for good insights in topics.

Getting online help for tough assignment topics is the smartest way to understand them, resolve assignment issues and improve your writing techniques.

Top 40 Uses Of Your Smartphone At School


Did you know that you could indeed use your smartphone at school for purposes other than entertainment? Yeah, you can! There are umpteen uses for your smartphones everywhere and it may come as a surprise to you that they can be used at your school and can be used to help you learn better! Read on to learn 40 different uses of smartphones at school.

Fact Checking

Yep! You can cross check and verify facts with your handy smartphone and your teachers too can do the same now. Quick and easy!

Click pictures for educational purposes of course

Use pictures taken with your mobile for the purpose of illustration or presentation when taking seminars and so on.

Record videos and use them in projects and assignments

Experiments can be recorded by means of videos and they can be used in experiments and presentations for better impact.

Conduct tests and experiments

You can now conduct quizzes and tests with your mobile. There are many mobile apps that let students prepare quizzes and play against one another. This is specifically useful in the case of studies and research wherein it is important to record real time data. Teachers too can use it to gauge the knowledge level of their students.

Listen to the news

With subjects like economics and finance, it is important to stay abreast of happenings worldwide and reading the news is very important for that. Many teachers incorporate this into their teaching styles. Even tutors on online tutoring platforms do so to ensure effective learning of their students.

Learn word meanings with the dictionary

Whenever a student comes across a particularly difficult word, instead of having to ask the teacher, they may simply look up the dictionary on their mobiles.

Look up unfamiliar words in a foreign tongue

Similarly, the smartphone may be used to translate foreign words that students encounter in the course of their study.

Stay organized with the Calendar

Enter deadlines and schedules in your calendar to receive alerts and ensure that there are no delays in submissions.

Jot down ideas

Don’t have a paper and pen in hand but   have a brilliant   idea? Jot it down on your smartphone and use it later!

Music is the healer of the soul

Listening to music (not necessarily songs) has been proven to help studies effectively and students can now do so during breaks or before exams to get into the right frame of mind with their smartphones.

A picture is worth a 1000 words

In case you are visual learner, learning by means of pictures and images can come in extremely handy! Create and use mind maps and flash cards on your smartphones for better learning.

Review before exams

Quickly scroll through your material and review what you’ve learnt before exams with mind maps, index cards, flash cards, etc. Online tutors recommend a variety of different apps that help students revise in a jiffy and these have proven to be very useful.

Manage time with a stopwatch/timer

A stopwatch/timer can help you prepare better for your presentation or debate or any event that happens to be timed.

Enjoy reading with eBooks

Carry an entire library of books within the palm of your hand with your smartphone and read as many eBooks as you want!

Audio Recorders help you learn better

Voice recorders can be employed to record sessions and explanations and these can be reviewed at a later time for better clarity. One can do so while availing assignment help from tutors too and these can come in to be useful during revisions.

Find out about extra subject material

With a smartphone and an internet connection, it is easy to dig through the plethora of resources available and find references and texts that are relevant to the topic of study.

Use your camera for scanning documents

Document scanning is ever so easy with your camera! In fact, if you are assigned work at class, you can even deliver it via scanning if your teacher approves of it!

Use the scientific calculator

This is one of the most useful tools in a smartphone. It has a scientific calculator and does away with the need for you to bring one to class!

Editing videos

Edit your videos and add effects, text and what not with just your smartphone in hand! You can make your presentation much more interesting with such means.

Editing pictures

It is essentially the same as above, only you can edit pictures too!

Publish blogs

Does your class have a blog? Publish in it with the help of your smartphone! This will not only help improve your presentation and writing skills, it will also help you become popular in class.

Check out who is visiting your blog

Google Analytics is a cool way of tracking visitors to your blog and this helps you check how popular your blog is in your class/school.

Present better

Making presentations is ever so easy with the help of your smartphone. You can simply store your presentation online or on your mobile and project it!

Use your smartphone as a remote

While making a presentation, if you wish to switch between materials, you can make use of apps that help you do so with your mobile.

Communication is the key

In case you need to communicate with your teachers or admin staff, you can simply send them a text or use any messenger app to do so with your smartphone.

Learn and store a variety of formulae

Are science and math too difficult for you? Learn and store formulae with your mobile using apps that let you do so. In fact, this can assist in your homework too. You can look up stuff on your smartphone first and then look for homework help online in case you require further assistance.

Monitor noise levels in class

If you are the monitor and are in charge of the class, you would most certainly need this! You can now check the decibel levels in your class with a db meter and let your classmates know if they are loud and spare yourselves reprimand from teachers.

Notify and update periodically

Notifications and updates can be sent using smartphone apps periodically to students, parents and teachers and this serves multiple purposes.

Use maps to mark class locations

Students who are new to the region will find this very useful especially in colleges where the classrooms are located blocks and wings away. Just marking the location of the class rooms on Google Maps would be very helpful.

Take to the Social Media Networks

You can now connect with your Twitter, Facebook and Google Plus accounts with your handy smartphone. Apart from other uses, these have educational uses and you can follow SM networks for educational purposes too.

Improve diction and vocabulary

Whether you are learning a foreign language or a native one, you can use your smartphone to learn new words, their meanings and uses and master the languages with ease.

Keep track of your attendance

You can now monitor your attendance records with your smartphone. Yep, it’s as easy as that!

Monitor and assess the work of students

This one is for teachers! Keeping track of the performance of students, their project work and course work is ever so easy with smartphones and many teachers are employing them to good use.

You don’t need a watch to check time

The mobile phone has become the watch of today and people check it to tell time.

Beat boredom

The smartphone has a truckload of features to keep students interested in academics and there is simply no need for students to worry about boredom. In fact, many teachers are coming up with various ways of using the smartphone to keep their students engaged in classes.

Notes sharing

As stated above, teachers are employing the mobile phone to make studies easier for students and sharing of notes using the smartphone is one way to do so. Teachers share notes via this medium as opposed to handing out bulky photocopies.

Interactive whiteboards

There are many mobile apps such as digital whiteboards and interactive whiteboards that have a lot of uses for teachers as well as students.

Monitor weather to schedule outdoor lessons

In case a teacher wishes to schedule outdoor activities or lessons, they can do so after checking the weather using apps on mobile phones.

Gauge productivity

This is useful for both teachers and students for they can check out the time spent on an activity.

Have fun

Students can now play and learn side by side! Yep, there are many games that are too much fun but also educational.


Smartphones have penetrated aspects of our lives and we can employ them to good use in the educational sector as well. The above 40 ways illustrate how students can use the smartphone to manage their schedules and learn effectively.

Math For Advanced Level; Algebra Geometry And Calculus Advanced


Math is a combination of many branches such as Algebra, Geometry and Calculus, but math does not quite stop right there, we have levels to each branch of math such as beginners and advanced. The advanced level math usually needs more attention and practice to master it. If you are confident with the basics and know all your formulas then the advanced level math is the next step to beginner math topics. Today let us look at different advanced level math questions in areas such as Algebra, Geometry and Calculus.

Advanced level Algebra

Algebra consists of different algebraic expressions and equations. Algebra has different kind of questions to solve. Mentioned below are few such questions which will give you an idea about how to use the basics of algebra to solve advanced level questions:

Solving linear equations with one variable:

Find the value for x in equation 4 (2x – 3) = 5 (2x – 8)?

Here the unknown variable is x. Since there are numbers in front of the brackets, distribute the numbers as shown below:


Here we have x on both sides of the equation, bring all like terms to the same side of the equation and solve for x.


As show above the equation reduces to 2x = 28. Divide by 2 on both sides of the given equation. This gives x = 14.

Did you follow the solution to the question above? Now let us look at solving an inequality. Solving inequities play an important role in algebra. An inequality is where there is a comparison and is represented by a less than or greater than symbol. The solution to the inequality are usually represented on a number line, so as to represent all the possible values for the variable. Follow the given example below:

Solve the given inequality 3 (2 x + 8) > 24?

Look at the question we have greater than symbol here. You have to solve for the unknown variable x and find all the possible solutions for it. For the given question above, divide both sides of the equation by 3 as show below:


Now the inequality is reduced to the form 2x + 8 > 16. The next step is to solve for x. follow the steps below:


The inequality is now reduced to x > 4. Look at the symbol separating x and 4 it’s a greater than sign not greater than equal to. This implies that the number 4 is not included in the solution. Hence the solution of x contains all the values greater than 4 such as 5, 6, 7, 8…….. This can be represented on a number line as show below:


The advanced level algebra consists of many other subtopics such as quadratic equations, solving two variable equations using substitution and elimination methods and many more. The key to success for solving all such questions is practice and knowing the basics of Algebra.

Advanced level geometry:

After algebra let us look into geometry and some sample question. Geometry is one of the favorite topic for all the students especially when you are in the elementary school, it could be because of learning different kinds of shapes. But geometry does not quite stop there, as you go to the higher grades you need to tackle the advanced level. Let us look at two examples on how the basics of geometry can be helpful to solve the advanced level geometry question.

 Find the area between the two shapes for the given geometric figure:


The given diagram is a square inscribed in a rectangle. Let us recall the formula for the area of the rectangle = length x width. Using the formula, the area of the rectangle = 10 x 8 = 80 square inches.

Now the area of the square = side x side. Using the formula, the area of the inner square = 4inches x 4inches = 16 square inches.

The area between the two geometric figures is obtained by the difference in the areas.

Hence, the area = (80 – 16) square inches = 64 square inches.

Did you follow the solution? Great! The next question you will see how the sum of the angles can be used to find the missing angles of the triangle.

The sum of all interior angles of a triangle = 180 degrees. This fact is very commonly used in solving many geometrical questions. Knowing the angle measures helps you classify the different kinds of triangles such as equilateral, scalene, and isosceles.

In the given diagram, find the value of v and the angles of the triangle. Classify the triangle?


Sum of all the angles of a triangle = 180 degrees.

Adding all the angles of the triangle v + 2v + 60 = 180. This gives 3v + 60 = 180.

Solve for the variable v, follow the steps below:


The angles of the triangle are v = 40 degrees, 2v = 2 (40) = 80 degrees and the third angle is 60 degrees. Therefore, the angles of the triangle are 40, 60 and 80 degrees. Since all the angles of the triangle are different. The given triangle is a scalene triangle.

Advanced level Calculus

The next branch of mathematics which is very important and plays a major role in high school and college level math is calculus. The students are expected to know pre-calculus before stepping into calculus or advanced calculus. Calculus starts off form the basics of functions, domain, range and steps into differentiation and integration, which are the advanced level topics.

Let us take a quick look at few solved calculus questions:

Find the derivative to the function f (x) = 3x3 – 5x2 + 10?

Here before finding the derivative of the given question there are some formulas of derivatives which are expected to be known. Learn from the diagram below:


Did you recall the formulas? Now apply the power rule to 3x3 and -5x2. Since 10 is a constant the derivative will be zero. Take a look at the diagram below:


The answer f’(x) = 9x2-10x.

Taking a step forward, let us solve a derivative question involving logarithms and exponential functions.

Find the derivative of the function f(x) = x5 + 2ex + 3log x?

For the given question you can apply the power rule to x5, exponential rule for 2 ex and logarithmic rule for 3 log x. Use the formulas as mentioned in the diagram below:


Applying the formulas to the given function:


Hence the solution f’(x) = 5x4 + 2ex + 3/x.

Free Online Math tutor is the easiest way to get solutions for difficult Math problems. Tutor Pace provides effective Math tutoring and assignment help which are personalized and customized to meet student demands in one to one sessions.

Take On The Assignments Leaving Everything On Help Sites

The list provided below includes the ten most reliable assignment help websites around the world.

What is the best assignment help websites?

The sites which are capable enough to attract the eye balls of several students with the help of the written material available on the site, so that the students can get their homework or assignment completed on time.

assignment help

The tutors or the owners of these top ten sites are highly educated and have several years of experience being in their respective fields. These top ten sites will provide you the proper and required assistance to the students at affordable price and within the suggested time period.

Please go through the list provided below:

  1. Essay Corp

Essay Corp is one of the most reliable and reputed website, it is doing and remarkable work in favor of students in search of assignments for several different subjects and topics within limited period of time. Being a student I would like to appreciate their work.

Sometimes I have experienced that there are websites in which Questions are misunderstood and inaccurately answered. But I get required assignment answer help from the experts appointed by the Essay Corp. This is the only place which is good enough and pocket friendly for me.

  1. Perfect Writer

It is one in the list of renowned website for its durability and punctuality as well as the homework assistance. This site will provide you the services in several subjects at reasonable prices. This is the assignment help website which has highly experienced tutors and professors who are best in their respective fields. Perfect Writer is not just a popular name in the industry but it is the only website where you will get 24×7 assistance related to any topic or subject you want the assignment on and it also provides non-plagiarized content.

  1. Tutor Pace

Tutor Pace has been basically known as the assignment help website which is always ready to assist students of any age or standard in a large number of streams such as, computer science, economics, medical science, psychology etc. It has a good reputation among the students all because of the panel of experienced and well-trained tutors who usually provide each and every type of homework and assignment help within given deadlines.

  1. Essay Shark

Essay Shark is a leading assignment help site carrying experience of more than 7 years in the same industry. Its aim is to assist students from all around the world in several subjects such as Mathematics, English, Science and business management etc. thesis, essay and dissertation writing is additional as per the requirement of the student. The brand comprises of experienced professional who are ready to assist students from any country.

  1. Writing Junction

Writing junction is one stop shop to get proper assistance in homework and assignments. They have professional teachers who are capable enough to handle the pressure of deadlines and can also write any type of assignment in satisfactory manner. They provide pure content on reasonable prize.

Methods Of Assessment In Online Tutoring

Assessing education online is a method for not only seeing whether learning has occurred or not, but also important to evaluate the way your students grab knowledge meeting targets as expected. Herein we will be considering distinctive assessment techniques, furthermore the requirement for organized ways of arranging records. Records are kept to indicate how learners are advancing and are crucial in permitting a learner to finish a course and pick up the capability for which they have contemplated.

online tutoring

Assessing can be developmental (on-going) or summative (toward the end), and can be formal or casual. It speaks truth gathering data, making judgments in view of translating that data, and after that settling on the significant strategy to accomplish the course targets. Formal evaluations incorporate composed, oral and common tests or recorded perceptions, and their imprints contribute towards the capabilities gradually developed by kids. These are goals, being evaluated and denoting a time when children may advance or need further educating on a specific subject.

Whilst formal evaluations have a tendency to be time-bound, casual appraisal is, it could be said, continually happening – the instructor is always watching learners, listening to reactions and making judgments as to their mentalities and advancement: these are basically subjective and not authoritatively recorded. Many a time learners can evaluate themselves and one another in pair and gathering work. Assessment is something that can likewise be done by somebody from the surroundings such as friends, family, or relatives, in addition to an online tutor. A great deal of evaluation can be commonsense – something that especially suits the students pulled in to these studies (i.e. less scholastically skilled), however other testing strategies may be utilized, contingent upon the level of capability. As said above, beginning assessment is discriminating. Once more, this can be casual (evaluating levels of past learning/information through initial undertakings) or formal (e.g., the requirement for a section exam/test). Various ways are utilized by the coach to evaluate levels of comprehension, experience and desire, and additionally being a chance to check education and relational abilities. From an introductory evaluation the educator knows where to begin, how and at what level to pitch course content, and, to a lesser degree, what sort of learners to expect – an all around planned starting appraisal may even uncover a bit about the learning styles of the gathering. An extremely profitable arranging guide! A word about the assessment of courses – frequently a written document, a sort of checklist completed by the learners – which gives a decent sign of a kid’s advancement and comprehension, and also serving to outline/upgrade future courses. This sort of evaluation tells coach and course pioneer alike how well a course ‘functions’, and in addition showing how successful an instructor is.

You have to keep records of learners’ advancement. The key ones would be a attendance register (to demonstrate that students have finished the obliged hours of formal study); a reviewing matrix (to record any tests and assignments finished and the evaluations accomplished); some type of profile archive (which records key data about kids accomplishments, challenges, any instructional exercise notes about states of mind, former accomplishments, and advancement reports for instance); and assessment sheets, talked about above (if these are finished amid the course the educator and their administrators can “change” the course likewise).

Without sufficient records present with the online tutors the course  and assignments can’t be formally finished and the sorts delineated in the past section constitute a gathering of proof that a given goal has been accomplished. Recording must be precise, as evaluation data is among the most delicate data with which an instructor bargains. It ought to additionally just be available to those that need to have entry to it – i.e. those specifically included in the course intended to meet the specific learning goal.

Stellar Ideas That Enable You To Deal With Your Daily Assignments

With the availability of online tutoring facilities for students nowadays, it has become far easier for them to cope up with the commonly used assignment-based approach of studies in schools and colleges. It is a fairly effective method by which students can become proficient in all topics with the help of interactive, appealing, focused and simplified tutoring procedures, using innovative study materials. Discussed here are a few of the most important characteristics of online assignment help finance and similar subject. Students can now solve their academic issues on their own by developing a better understanding of the studied lessons.

assignment help

Easy on the parents’ budget

The online tutoring firms charge very less relative to the offline tuitions, since they do not have to arrange for a place for the accommodation of students. Many tutoring websites provide even assignment help free online to students. This is, therefore, a very cost-effective way of obtaining guidance and tutorial help for the completion of assignments and the clarification of doubts in different topics that they are not able to understand on their own.

No unnecessary wastage of time

Studying in an offline coaching center can cause a lot of time wastage because of the travelling and distractions involved in it. On the other hand, online tutorial firms help the students to learn all chapters, right from home, at any time of the day. This further allows the child to optimize their daily schedule to produce better results in their academic performance.

Fun and novel methods of teaching

The use of slides and video lectures to convey the lessons to students is a common method employed by online tuitions. These methods change the students’ perception of studying from a boring classroom task to an interesting learning process. The tutors pay individual attention to each student, and the students never hesitate in asking clarification in any topic that they fail to understand.

Regular tests to track performance and progress

The performance of the student can be checked with the help of online tests that are available on tutoring websites. These tests help the students in practicing the problem solving techniques and speed of response for a certain before they actually appear for the exam in real. Also, these tests give details about the elements of a topic that the student needs to work on so as to excel in the result.

All topics and subjects available for all levels of study

Be it a tutorial for a primary school student or an assignment help MBA, whatever may a person be looking for, they can easily find good websites offering online tuitions for students studying different subjects, and at different levels. Preparation for different exams, the coverage of different academic and non-academic topics, all is facilitated by online tutoring companies, helping students achieve big and small educational goals.

Tutorial websites, therefore, are the best solution for all kinds of students, and should always be preferred for successfully learning all the different chapters, practicing them, and then testing personal skills in the same.

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.

Vedic Math Tutor

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:

math 1

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:

math 2We get the same answer!

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:

math 3

The answer is 9025.

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:

math 4The 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:

math 5

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.

math 6

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.

math 7Hence 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:

math 8

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:

math 9

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:

math 10

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:

math 11

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:

math 12

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:

math 13

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:

math 14

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.

math 15

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!

Free Online Math tutor is the easiest way to get solutions for difficult Math problems. Tutor Pace provides effective Math tutoring and assignment help which are personalized and customized to meet student demands in one to one sessions.

Linear Algebra Math Made Simple: The Study Of Spaces

Today we will be looking at the basic concepts and properties of linear algebra. Linear algebra can also be called as vector algebra, as it is the study of vector spaces. You may now wonder what exactly vectors are. Well, quantities are classified into two types such as scalars and vectors. A scalar quantity is a quantity which has only magnitude and no direction. A quantity which has both magnitude and direction is called as a vector.

Girl doing homework

Let us look at some definitions and properties of vectors which will make the study of the vector spaces much simpler.

Position Vector: The position vector locates any given point in the three dimensional rectangular coordinate system. Let us recollect that the three dimensional rectangular coordinate plane has x, y and z axes. The origin point for such coordinate system is given by (0,0,0). The position vector or any point P in space is given by OP (x, y, z). The magnitude of the vector |OP| can be given by √(x2 + y2 + z2).

So, we have |OP| = √(x2 + y2 + z2).

Let us take a look at one of such example question.

Question: What is the position vector of the point (3, 4, 5). Find the magnitude of the given position vector?

The position vector is found from origin (0, 0, 0) to the point P. Follow the steps in the diagram below for finding the magnitude of the given vector:

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Let us now take a look at some basic types of vector spaces.

Null vector: A null vector is also called as the zero vector. Remember the starting point of the vector is called the initial point and the ending point is called as the terminal point. The vector for which both the initial point and terminal point are the same is called as the zero vector. Like the name suggests the magnitude of a zero vector is always equal to zero. The null vectors are written as PP, AA and so on.

Unit Vector: The magnitude of a vector when equal to 1 is called the unit vector.

Need an example? Here you go!

Find the magnitude of the vector AB given by (0, 1, 0).

Apply the formula for the magnitude of the vector. This is what you get:

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Equal vector: Like the name suggests the equal vectors are the vectors which are the same in magnitude and direction. If AB and CD are two equal vectors, then they are given by AB = CD.

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Negative Vector: Well again like the name suggests the vectors which have the same magnitude and are opposite in the direction are called the negative vectors. If OP is a vector than PO is called the negative vector. This can be represented as OP = – PO.

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Here AB = – BA. So BA is the negative vector for vector AB.

Co-initial Vectors: Any given two vectors are called as co-initial vectors if both the given vectors have the same initial point. For example OA and OB are two co-initial vectors.

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Collinear Vectors: Any two given vectors are called collinear vectors when both vectors are parallel to the same line.

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In the above diagram AB and CD are parallel to the same line, hence the two vectors are collinear to each other.

Addition of vectors: Most students find it quite confusing to understand the addition of vectors. In simple terms here is how you can follow it:

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In the above diagram E is the initial point for the vector EF and terminal point for vector DF. So to obtain the resultant we start from the initial point of one vector (DE) to the terminal point of another vector (EF). Hence the resultant of the vectors is DF.

                        This can be expressed as DF (resultant vector) = DE + EF.

Now that you are aware of the vector additions let us look at the properties of the vector space addition.

Commutative Property: Vector addition is commutative. Consider two vectors a and b, they can be expressed as: math 8 Associative property: Vector addition is also associative. Like associative property for numbers we need 3 vectors to express the associative property for vectors. The property can be written as follows: math 9 Scalar Multiplication: Now let us take a quick look at multiplying a vector by a scalar quantity. Let there be a scalar number or a constant k. Take a vector a. Now we can obtain a new vector by multiply with the constant k. This is expressed as ka, always remember that the vector obtained after the scalar multiplication is collinear to the given vector. So ka is collinear to vector a. The vector has positive of negative direction depending on the sign of k. Here are some examples to give better understanding: math 10 In the above diagram there is vector which is then multiplied with a scalar 2. Here 2 is a positive number so the direction of the vector 2a is the same but the magnitude of vector is twice the initial vector a. math 11 In the above diagram the vector is multiplied by the scalar number -3. Since the scalar is a negative number, the direction of the vector is the reverse to the direction of vector a. The magnitude of the vector will be thrice the magnitude of vector a. Do you now feel you have a better idea of the basics of the vector spaces? Well guess what this is just the beginning and there is lot more to learn and discover in linear algebra. So do not forget, keep practicing!

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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.

10 Useful Lessons You Will Learn During High School

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.

Read more – How to eliminate high school math tension through homeschooling

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.


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.