Thomas Scofield - Mental Math: Tricks And Practical Strategies To Make Calculations Faster, Enhance Your Math Skills And Solve Everyday Math Problems Easily

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Mental Math

Tricks And Practical Strategies To Make Calculations Faster, Enhance Your Math Skills And Solve Everyday Math Problems Easily

Thomas Scofield

Copyright 2018 Thomas Scofield - All rights reserved.

In no way is it legal to reproduce, duplicate, or transmit any part of this document in either electronic means or in printed format. recording of this publication is strictly prohibited and any storage of this document is not allowed unless with written permission from the publisher. all rights reserved. The information provided herein is stated to be truthful and consistent, in that any liability, in terms of inattention or otherwise, by any usage or abuse of any policies, processes, or directions contained within is the solitary and utter responsibility of the recipient reader. under no circumstances will any legal responsibility or blame be held against the publisher for any reparation, damages, or monetary loss due to the information herein, either directly or indirectly. Respective authors own all copyrights not held by the publisher. The information herein is offered for informational purposes solely, and is universal as so. the presentation of the information is without contract or any type of guarantee assurance. The trademarks that are used are without any consent, and the publication of the trademark is without permission or backing by the trademark owner. all trademarks and brands within this book are for clarifying purposes only and are the owned by the owners themselves, not affiliated with this document. The author wishes to thank Freepik, Stephen Hutchings, Smashicons from www.flaticon.com for the images on the cover.

Table Of Contents

Introduction

Congratulations and thank you for purchasing Mental Math: Tricks and Practical Strategies to Make Calculations Faster, Enhance Your Math Skills, and Solve Everyday Math Problems Easily . Mental math skills are often neglected by most. Those who do work on their mental math skills, however, are put at a great advantage in everyday life for doing so. The first step in bettering your mental math skills is to work on your basic computations. These are gone over within the first few chapters of this book until we finally start to delve into more advanced subjects near the end. Do not be intimidated by the book if you are not inclined toward mathematical thinking. The subjects and concepts gone over in this book are relatively easy and straightforward, though they will still be useful for you when dealing when more complicated real-world problems.

To that end, the following chapters will discuss a wide variety of topics including tricks to multiply big numbers mentally, how to work with proportions and ratios, trigonometry uses in real life (for example in physics, navigation, criminology, marine biology, and archeology), tricks to add and subtract fractions fast, mean median and standard deviation and mastering them in real life, tricks to work with conversion factors, usage of the Plugging In Numbers (PIN) technique in tests, techniques for SAT, GMAT and GRE students, and math strategies anyone can master.

Skills regarding these subjects can be difficult to improve upon but when some basic proficiency has been established, getting into more advanced areas of study becomes possible. This is when you may even find that you are more talented when it comes to mathematics than you may have originally thought yourself to be.

Thank you again for purchasing this book. Lets hope the information provided here helps you in your everyday life.

Chapter One: Multiplying Big Numbers Quickly

Mental math skills are extremely important ones to have for use on a regular day to day basis but they require long hours of diligent practice to maintain and improve. Once basic proficiency in math has been established, it is never enough to just halt your progress wherever you decide to. Learning skills in math is just like learning skills in any other field. It is a cumulative process that requires lots of time and dedication to be done effectively.

There are many different facets of mathematics that you have to learn in order to gain any proficiency in the subject. Throughout the course of this book, we will go over some of the most important of these facets especially through the optic of developing mental math skills.

We should start with a basic aspect of math, multiplication. It takes a number of different strategies to develop mental calculation abilities in regards to multiplication. Once all of these strategies are learned, they can easily be applied to specific situations that apply to each respective strategy.

When you think of most of the math that the average person finds him or herself doing on a day to day basis, it is usually not done by means of calculators and even more rarely done by means of written computation. It is almost always done instead by mental computations. With this being said, it is no wonder why skills developed in mental math computations are always incredibly useful ones to have. Sadly though, many (if not most) neglect to develop their mental math skills beyond a certain age and are put at a disadvantage for doing so. As far as students are concerned, developing mental math skills can also help them to get a better understanding of both number sense and number properties.

Multiplication by single digit numbers

The first type of mental multiplication that we should now go over is multiplication by single digit numbers. At first, students can use this strategy to multiply smaller numbers. Once they have developed skills with these they can then move on to bigger numbers. For example, a student can multiply 3 four times to get 12. If he or she then multiply 3 by 12 then the student gets 36.

Multiplication by powers of ten

The next step in multiplication is multiplying by powers of ten. This is much easier to do as it only results in another decimal point being included in the final answer. To multiply by powers of ten, all you need to do is multiply the other number by the first number in the power of ten. For example, four times ten would come out to 40, while four times one would come out to four. As you can see, the decimal points, or zeros, in these cases just carry over with the rest of what is being multiplied.

If, however, the numbers do not end in zero, then the first decimal point listed should have a zero put behind it when multiplying. For example, 15 times 6 would translate to 5 times 6 (30) and 10 times 6 (60). 30 plus 60 would then equal 90, so 15 times 6 would be 90.

One strategy that students often use is the visualization of written algorithms. This is not an advisable strategy to use because it makes making computations much less efficient and much more difficult. Algorithms only work well when written down on paper. There are other much more useful methods for multiplying mentally.

Mental estimation

Mental estimation is another very important skill for a student to learn. This is especially useful when answers are specific to an extent at which it would require a calculator to find them. For example, estimation would have to be used when finding out the area of a yard on the fly. If the fencing was 20ft. by 10ft., the area would be 200ft. A student could not, however, know definitively the length of the fence, so he or she would have to estimate in this case. To better estimate mentally you must know how to do mental calculations, round to convenient numbers, and be able to determine whether or not an answer is too big or too small.

Again, it requires frequently repeated practices to develop skills in making mental math calculations. There are some very helpful activities for developing these skills which should now be mentioned.

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