Category Archives: Online Geometry Tutor

Are Today’s Kids Burdened With Too Much Of Homework?

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The topic definitely opens up to a lot of discussion and scrutiny today and one can find a lot of comments in this regard on various popular platforms. There is a raging debate ongoing as to whether students are given way too much homework and how it affects their mental makeup and performance at school. There are even books being written about this very topic by parents and teachers alike and given that they are becoming best sellers in no time, one can safely assume the amount of interest this topic has generated in recent times amongst the public. To identify if one’s child is actually being burdened with a lot of homework, one should look for certain signs. Read on to learn all about them.

college algebra students

Is your child being given way too much homework?

The very first sign that your child is being burdened with a lot of work is if he/she starts hating the very idea of school. The recommended level of homework is 10 minutes per grade every night and anything in excess simply means that your child will struggle to cope with it! Given the vociferous arguments one can read about it and given that at least more than 90% of the people feel that children are being taxed with undue amounts of work to be done at home, it does look like the scenario is pretty bad. Read on to learn as to how you can help your child in such a case.

What can you do about it?

Too much of homework adversely affects your kids as they stop being children and start to feel stressed every day. When you feel that the amount of homework given is unreasonable, bring it to the notice of your child’s teacher and ask him/her to reduce the same. Take it up further in meetings at school and bring it to the notice of the principal in case nothing works out. This can be very effective when you have the support of other parents.

Is your child unable to cope with homework due to other factors?

If even after your best efforts, your child is struggling to cope with homework (due to lack of understanding or concentration), it is time for you to get them professional assistance from experts such as online geometry tutors and tutors in other subjects. Check whether your child is taking way too much time with homework just because he/she isn’t able to understand the subject they are studying.

In such a case seeking out experts to help them understand the subject and learn its nuances is a good idea (this is of course when you can’t teach your kids by yourself either due to want of time or due to lack of enough knowledge in the subject). And when it comes to particularly difficult subjects such as geometry or trigonometry, you can help your child out by roping in the best geometry homework help online so as to ease your child’s burden and help him/her learn in a fun filled manner.

Summary

It is indeed true that today children have to cope with higher educational standards, peer pressure, pressure to make it big in the world and of course way too much homework. Parents should put their foot down and bring it to the notice of the teacher in such cases and reduce the amount of homework being thrust on the child. If the child is however struggling with a subject like say geometry and hates doing homework in it simply because he/she finds it difficult, parents should assess the situation and get geometry tutors for geometry assignment help and homework help so as to help them tackle the subject better.

How To Get An A In Geometry With Ease?

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Geometry is considered as a tough aspect of Math learning with its formulas and drawings. Once you understand how to pick up the basic concepts of Geometry with a firm   knowledge in its fundamental aspects, you can easily win an A in Geometry exams. Here are some basic steps for you to follow for stress free Geometry.

geometry students

  1. Asking questions

It is good to be interactive in your Geometry classes. When you do not understand an idea in Geometry, make it a point to ask your teacher at once in class. Make use of his office hours for your best learning.

  1. Be regular in your homework

Homework helps you measure your understanding of subject topics. Do it on time and review your understanding of Geometry topics.

  1. Group study

When you put your head together with those of others, you get better insights and clarify doubts without struggle.

  1. Use study tools and online resources

Suppose your text has an integrated website, use it.Use study apps that are available for free. Make use of online resources like online calculators through tutoring centers and lessen your burden in problem solving. Get the services of online Geometry tutors for making flash cards and remembering formulas.

  1. Frame mnemonic techniques to remember formulas

Use the first letters of a sentence to remember basic concepts in Geometry.

  1. Drill the important terms into your mind

Have a sound knowledge of the important Geometry terms. Remember right angles are 90 degrees and complementary angles are those angles which are added to take 90 degrees and supplementary angles make 180 degrees. All such factors should be retained in memory without fail.

  1. Prove the Geometry facts

Always question how a Geometry theorem comes true. Go step by step and prove it. This way, you can arrive at answers in exam papers even when you forget some important element in proving a Geometry concept.

  1. Drawing diagrams

Geometry is all about diagrams. If your want to learn angles, draw them. Use the graphics to your utmost advantage. See relationships like vertical angles through diagrams. It is easier to understand by doing so.

  1. Practicing problem solving

Geometry becomes easy through efficient problem solving. Geometry is a skill as well as treasure trove of knowledge. Practice problems as many as possible and concentrate more on troublesome areas. By doing homework in a systematic manner you can achieve this. This lifts you to an A without hassle.

  1. Teach Geometry to some other person

Ask your parent, friend or sibling to listen to you. Teach Geometry concepts to them. You can understand the concepts better for yourself.

  1. Practice different levels of problems

You need to change the order of problems and choose different sets with varying difficulty level. This helps you face Geometry challenges in the exam hall without fear.

  1. Be attentive in class

Do not deviate your attention from the lecture given by your teacher. You can talk to your friends afterwards.

  1. Study the lesson for the day beforehand

Cover the lesson before the class so as to be ready for clearing your doubts and following your teacher with ease.

  1. Studying every day

This is mandatory. Or you forget Geometry formulas and basic concepts and feel flabbergasted while sitting for exam prep. Make it every day for a straight A.

  1. Build your network with classmates and teachers for emergency help

Get the phone numbers and emails of class teacher and friends for contacting them at any crucial moment of preparation and for clarifying your doubts.

  1. Get a tutor for help

Get reliable online Geometry homework help to stay ahead of others in Geometry classes and exams. Do it at the earliest for a strong foundation in the subject.

Taking the assistance of online tutoring centers for Geometry assignment help lessens your burden and makes you climb up the ladder of success without stress and strain.

Become An Amazing Math Tutor: The Secret To Metal Math

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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. math help 1 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:

math help 2

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:

math help 3

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. math help 4 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: math help 5 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.

math help 6

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: math help 7 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: math help 8 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: math help 9

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.

9 Must Know Methods for Solving Math Problems

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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:

LCM

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: GCF 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: decimal numbers into fractions 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:

Total Price

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:

one step equation using Addition

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: equation using Subtraction 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: equation using Multiplication 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:

equation using Division

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:

Expressions using substitution

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.

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Geometry for Special Education Students With Emerging Math Skills

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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.

geometry shapes

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.

Tips for Helping Your Children with Math Homework

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Math Homework HelpGetting your child to do their homework can be a lot like trying to pull teeth. There may be a whole lot of resistance from the child but be patient. Learning is about improving ourselves, and even children understand that. They are always going about learning new ways to make this easier, or more intriguing or most of all, fun! So let’s approach the process from that perspective, shall we?

No Pressure

Children often feel a lot of pressure from adults and adults do not even realize when to pump the brakes a bit, but that is all a part of human nature. Children of course do need to be pressured, but in a positive way. What really works to motivate anyone is to show the short-term or long-term benefit to what it is that you are trying to accomplish. If you go in guns blazing trying to force pressure the child into learning the topic and you become frustrated, your child will in turn notice the negativity right away and begin to decide that they are being judged. They are right.
So avoid this tactic. Try to be open and understanding of their own learning process. Explain the logic of math problems in a way that will show them those benefits, how math is all around us, whether we are gauging our speed driving to school, measuring ingredients for a delicious snack or meal or counting the school supplies that we need. Specific examples really help children appreciate why we need to understand the concepts in mathematics, even at a basic level. They will be more enthused by this method and seek new ways to solve problems with more advanced math. A lot of this is just all about attitude and mentality.

Visual and Practical Models Work

Math is taught with great success in many Asian countries and many believe it is because of the way in which students learn the concepts and make the transition. It has been revealed that more visual representation matters to the student when discussing anything from simple basic addition/subtraction/multiplication/division to fractions and beyond. When they make a visual connection to the data, their brain can begin quickly deconstructing the logic behind the problem.
Ask your child to work out the problem aloud with you so you know their line of reasoning as well. This will help you understand their approach so you can teach them some new tricks. Again, be patient. The respect factor is exponentially higher with children when you are on their level and are actually helpful in their eyes. You should also work problems out aloud with them and do the same with everyday scenarios in life as you are going along your day with your kids. Explain concepts in everyday tone and language and relate it back to those school math problems they were working on.

Be Involved

It may seem obvious that you need to be involved in your child’s education, but moreover, try to be involved in their actual math problems and other studies. Make it your problem too. They will be more studious when they feel it is a group activity or game. Make it fun for them if you can by creating mini milestones like a bonus fun game for every successful problem solved or for finishing their homework. Remember how flash cards worked? The more colorful the cards the better by the way.
Being involved in all aspects of a child’s life is a great way to keep them involved in positive life activities as well. Your child will feel supported and confident knowing that their parents are there for them to help them when things get really tough. In math, when a problem is tough to understand, they may feel comfort in knowing that Mom or Dad can help guide them through it so they may understand it better. This helps a child’s confidence and self-esteem like no other.

Rewarding the Triumph

Children; just like pets, wild animals and grown adult humans; need to see the immediate benefits to the work behind learning a new skill, one that may seem mundane or useless in the form of numbers, symbols or expressions on a piece of paper or computer tablet screen.
When your child solves a problem, be sure to remember to try to challenge them to think of a way that problem can be implemented in the real world, or even better their world! When the child begins to unravel mysteries, not only will it excite and motivate them, they will be rewarded with pride and wisdom. They are never too young to understand this!

Get Access to free math lessons and math homework help online from basic math to algebra, geometry and beyond with the best online math tutors. Students, parents, teachers find these lesson plans to be very useful.

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

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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.

Speed And Mental Math Tricks

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:

math 1

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:

math 2

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

math 3

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: math 4

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.

math 5

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:

math 6

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:

Find out whether 5608 is divisible by 4? Check your answer.

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:

math 7

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.

Find out if 890 is divisible by 5? Check your answer.

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

math 8

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.

Did you follow the solution? Follow the next example:

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:

math 9

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!

Tips To Remember How Math Logarithmic Notation Works

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Logarithms are really fun and interesting, but I have seen many students find changing logarithmic notation to exponential notation and vice versa quite confusing. Well here are some useful tips to make you remember that this conversion is simpler than you have expected.

The exponential form is where we have the base number multiplied according the exponent to get the answer. Here is an example from online math tutor:

When you multiply 2 four times you get 16. That is 2 x 2 x 2 x 2 = 16.

This can be written in the exponential form as 24 = 16. Let’s look deeper into this notation:

log1

Let’s now try to follow how we can convert the exponential notation to the logarithmic notation:

log2

As show above, both the exponential notation and the logarithmic notation have the same base number. Next, there is an exchange in the exponent and answer while writing it in the logarithmic notation.

This can be better understood with an example:

Convert 34 = 81 from an exponential notation to logarithmic notation.

Here 3 is the base number which will remain the same even in the logarithmic form.

We have 4 as the exponent and 81is the answer which can be written as:

log3

Did you get a little hold of this method? Good let me show you one more example:

Convert 52 = 25 from exponential form to logarithmic form.

Everyone likes the 5 times table, for some reason it’s quite easy to memorize.

Here observe 5 is the base number and 2 happens to be the exponent. Multiplying 5 x 5 gives 25 as the answer. Now converting the exponential form to logarithmic form:

4-1hp6teb

Taking a step further, let us now convert the logarithmic notation into exponential notation applying the same process backwards.

Convert log4 64 = 3 from logarithmic notation to exponential notation.

Here the given logarithmic notation can be changed to exponential notation by keeping the base number 4 the same. Follow the steps below:

log5

Hence the exponential notation for the given question is 43 = 64.

Good so far! Now, have you ever observed some logarithms written without a base?

For example, notations like log 5, log 16 or log 150. Are they really without any base number? The answer is NO! They have a base number which is 10 it’s called the common base.

Hence, logarithms with base number 10 are called common logarithms. This can be shown as below:

log6

Convert the given exponential form 103 = 1000 to logarithmic form?

Here we have the base number for the exponential form as 10, so the final answer will be a common logarithm. Hence we can write the given question into a logarithmic notation as follows:

log7

So the final answer is log (1000) = 3. [Not to forget it still has a base 10.]

Now you are familiar with the logarithmic notation and ready to change exponential notation into logarithmic notation. But remember logarithms does not stop here, these are just few useful tips to get you started with the logarithmic notation.

Read more – Solving Logarithmic Equations

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Scale Heights Of Scores In Geometry With High School Geometry Tutor

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Geometry is a branch of Math that discusses the lines, points and surfaces and measurements and formulae related to them. High school Geometry discusses angles, triangles and circles and students need much concentration to score in these areas. It is a time when students have lots of troubles in doing their homework, reviewing old concepts and preparing for the tests. They are overburdened with hectic schedules in high school, since they expect college entries with good scores and excellent grades.

high school Geometry tutorsHigh school Geometry needs students’ attention on Geometry definitions, proofs, postulates and theorems of shapes, equations for properties of circles, squares and angles as per the common core standard Math. The students have to be familiar with units of measurements like area, circumference, density and volume. Their ideas about conic sections like parabola and hyperbola should be accurate. All these topics need to be dealt with acute focus by a high school student to ace Geometry   with soaring scores.

Tutor Pace offers online high school Geometry tutoring for those who are not clear about their basic skills in the subject and struggle to be on the track. The tutors with their expertise in the subject help students on all topics and strengthen their fundamental knowledge to learn Geometry concepts with clarity. They offer one on one sessions at very affordable rates to maximize their guidance for students who need a way out in the crucial juncture of high school learning. Below are the benefits of hiring the services of high school Geometry tutors from Tutor Pace

  • 24/7 availability
  • Expert subject knowledge
  • Screened tutors
  • Personalized one on one sessions
  • Affordable rates
  • Step by step explanation for Geometry homework
  • Easy explanations for advanced Geometry concepts
  • Break up methods for difficult sums
  • Enhanced technological support

High school Geometry homework help from Tutor Pace is available for any challenging task in high school Geometry syllabus. The tutors interact with students on white board and share their files and docs for homework to make the students work easier. The students could record the sessions for future use and replay according to their convenience before exams to clarify their doubts in the subject.

Gain Geometry Homework Help In Seconds from Tutor Pace

Tutor Pace provides worksheets with solved problems in high school Geometry   to support the efforts of students in revising for their exams and picking up answers for their homework. The tutors offer tutoring help in the following topics:

  • Formula for Density
  • Vertical angle definition
  • Volume of a triangle
  • Volume of right circular cylinder
  • What is an equilateral triangle and other topics.

It is also a relief for the parents who have tons of anxiety over their kids’ scores in Math in high school exams. 10TH or 12th grade, students need to score high to decide the course of their future studies which becomes part of the responsibility of parents as well. When they approach an online tutoring site like Tutor Pace, they have access to monitor the tutoring sessions and observe their kids’ progress in Geometry.

Read More – Teaching Quality Benefits With Online Geometry Tutor

Online Geometry tutors from Tutor Pace assure their best for high school students in Geometry and thus boost their morale to face the exams without fear.

Online geometry tutor can be helpful for learning better geometry from TutorPace

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