It could be for help with school maths, doing lower level maths like basic algebra and arithmetic in an early year of mathematics education, or more advanced arithmetic that you will use all the time over the coming years at university, teachers will try and help you students understand and improve their maths and arithmetic skills in plain English. This has led to a review of best practice in subjects across the mathematics board, with free and more creative approaches taking a view to improving the time spent learning in maths lessons at school.
For those who have less work and learning experience in their profile regarding maths, algebra, and arithmetic, we've set ourselves to work to help you understand how to harness your learning skills and how to best study in any mathematics-related subject. Arithmetic will be a breeze for you once you find out the best use of your time in maths lessons.
What is Arithmetic all about?
From high profile maths subjects like calculus and trigonometry, through to algebra and arithmetic, all are essential tools for any math level, grade, year of school or university, or experience level in a professional work setting.
They help us get experience with basic and private skills, like addition and subtraction, but go onto involve complex ideas and algorithms, from whose learning you can physics and chemistry applications, and even teaching yourself at school or university (or as a private tutor of course!).
How exactly can we understand how to best use our arithmetic skills in day to day life though?
The origin of the word arithmetic itself is a great place to start.
As a mathematics teacher is likely to tell their students at least one point in time during their years at high school, the word arithmetic comes from Greek. And here's some information we will give you for free - it comes from the word for number, so tutoring or education in this branch of maths (done in English, not Greek obviously!) will centre its learning around the best applications of and steps and skills involved in numerical computation,
This can be seen as counting and has applications online and in-person alike. It involves the four main components that you spend your primary school years with lots of time to work on: addition, subtraction, division, and multiplication. You spend so much time on this with your teacher, or private tutor, since these skills are not only core to these subjects and other more complex number focussed subjects like chemistry and physics, but also to everyday life.
The skills are essential and will go through many reviews throughout your math education, but before arriving at the quadratic functions stage, you will find you need a more basic level understanding, though still somewhat complex, about the kind of numbers you will find on your arithmetic journey:
- Rational numbers: these include
- Natural numbers
- Irrational numbers: these refer to numbers that cannot be expressed as a fraction of two integers
Beyond this, there are three essential laws to computing that are sometimes required in reviews of arithmetic and data sets, which are:
- Commutative law
- Associative law
- Distributive law
Take note, however - these three laws only apply to addition and multiplication, with only a few exceptions. This could seem like an oversimplified version of a complex subject, but bear in mind that you will find these facets of mathematics from your first lesson all the way through to your advanced maths lessons at university, in arithmetic, algebra, physics, or chemistry - so make sure keep these in view.
Don't worry if you're already feeling out of your depth, we have an explanation on the basics of arithmetic that can give you a leg up.
Also, take a different view on your learning rather than getting disheartened - math and science are known to be difficult, which is why the help of a private tutor, regardless of your grade, level, or work experience, can help your education make more sense for you. It can be simple homework assistance, all the way through to best time management abilities in VCE and HSC, and peer to peer help with physics, advanced arithmetic or algebra, chemistry, or engineering studies at university.
Finding the best arithmetic Tutor for you
An arithmetic tutor, especially a private one or multiple private tutors, can be of great benefit whether you or your child are struggling or doing well. Getting the right person to boost you can enhance your education by making it relevant and interesting to you.
You'll also discover that each tutor will specialise in your level, needs and interests, that is to say they will either cater to primary or secondary schooling needs and VCE/HSC exam preparation or can help you focus specifically on the skills you need like for arithmetic or algebra. Bear in mind that this will also affect how much you pay for the tutor or tutors as well.
On average, prices for a tutor in your local area will range between $25 and $40 depending on your reasons for engaging them, their diplomas, and their experience. If you're going through a tutoring agency, you can expect to potentially pay a premium, since they will take a commission. Using a platform like Superprof where you can contact the tutor directly will mean that you can see their reviews and ensure the money goes directly to them.
The location can have an impact on the price too, so consider perhaps meeting them at a local or university library if they are a student or professor there, since this can lower the costs for students.
To get a more in-depth understanding of pricing, as well as all things related to getting a tutor for arithmetic, check out our guide.
Online Resources for Arithmetic Help
We've already mentioned that maths and science are difficult for all those who have to study them. Even if you're good in these subjects, you'll acknowledge that they're complex.
Math lessons can help this, especially if you take them with a private tutor during primary school, high school, university, or as an adult during your work life. However, this isn't necessarily the most viable option for everyone.
Determining whether it would be better for you to simply access some online arithmetic courses by yourself to enhance your learning, rather than with a private tutor can come down to:
- Budget difficulties
- Being a more efficient self-taught learner
- You only occasionally require help with the odd maths problem or two
Lucky for these learners, there is a range of online resources for maths that are available to you for free.
For optimal self-learning, have a peruse around websites that are organised by level, grade, and subject, since this ensures that your needs will be met directly and you can track your progress more easily.
If you're not actually in a maths-related course currently, but want to practice arithmetic skills that can be applied in daily life, whether you're a child or an adult, find some maths games focussed sites that can give your brain a challenge.
Particularly for adults, it might have been a while since you really did any maths that required mental exertion, and doing such challenges can have benefits for brain health that test your speed and ability to calculate.
Also for adults, these websites contain information and podcasts about practical math application in fields such as politics, economics, and culture.
Common Arithmetic Questions and Examples
A good way of understanding how you can use arithmetic yourself is to do some problems now!
This is not a definitive guide on arithmetic examples, however we aim to show you here how linear equations, algebra, square roots etc are actually linked to arithmetic and fundamental maths.
Cast your mind back a few paragraphs, you'll remember the Distributive law. This can be used to solve many kinds of equations, which manifest typically in algebraic ones at high school. In this law, you should multiply first then perform the addition sequence.
In practice, this looks like:
a x (b + c) = a x b + a x c
This law is very important for simplifying maths equations and can provide guidelines for real life situations.
4x + 3(x – 10)
With the distributive law, we see that in order to simplify this expression, we have to distribute the 3 to get:
4x + 3x – 30
Remember that the next step is to perform addition, which can be done by adding the same class of numbers: X.
x(4+3) is another way of writing 4x + 3x before x is distributed
To combine everything we’ve learned, the final answer we have is:
7x – 30
To learn maths is to be empowered about a whole range of knowledge, so we hope that this guide has set you on the right track towards accomplishing your arithmetic goals.
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