Navigating Through this Site: Finding What You Need

Students for Sensible Drug Policy
www.ssdp.org

Additional Design & Illustration by Per Wessmark
www.wessmark.com

Exercises and Solutions

Below you will find the exercises and solutions available for The Language of Mathematics. Over time, more will be added and those in draft form will be finalized.

Please keep in mind that like most people, I am prone to making silly mistakes, so take the answers with a grain of salt. Corrections and suggestions are always welcome.

Series I - Description, Videos.

Series II - Description, Videos.

Series IIIa - Description, Videos.

Series IIIb - Description, Videos.

Series IV (open)

Series I

Section 2: The Real Number Set

Exercises: Which number set do the following numbers belong to.

Solutions.

Section 4: Basic Operations

Exercises: Basic Operations.

Solutions to:

i) Adding,

ii) Subtracting,

iii) Multiplying,

iv) Dividing,

v) Simplifying.

Section 5: Prime Numbers

Exercises: Break down the following into their Prime factors.

Solutions.

Section 6: Fractions

Exercises:

i) Reducing Fractions,

ii) Multiplying and Dividing Fractions,

iii) Adding and Subtracting Fractions.

Solutions to:

i) Reducing Fractions,

ii) Multiplying and Dividing Fractions,

iii) Adding and Subtracting Fractions.

Section 7: Trigonometry

Exercises: Find the missing variables, and solve the following right triangles.

Solutions.

Section 8: Basic Geometry

Exercises:

i) Parallel Lines,

ii) Congruent and Similar Triangles.

Solutions to:

i) Parallel Lines,

ii) Congruent and Similar Triangles.

Section 9: Coordinate Geometry

Exercises:

i) Plotting Points and Lines,

ii) Finding Slope, Midpoint, and Distance of a Line.

Solutions to:

ia) Small Grid,

ib) Large Grid,

ic) Plotting Lines,

iia) Finding Slope and Midpoint of a Line,

iib) Finding Distance of a Line.

Section 10: Proofs

Exercises:

i) Proofs Involving Triangles,

ii) Proofs Involving a Line,

iii) Coordinate Geometry Proof.

Solutions to:

i) Proofs Involving Triangles,

ii) Proofs Involving a Line,

iii) Coordinate Geometry Proof.

Series II

Section 1: Exponents and Radicals

Exercises:

i) Adding and Subtracting,

ii) Multiplying and Dividing,

iii) Exponents to Exponents,

iv) Reducing Radicals,

v) Simplifying Radicals.

Solutions to:

i) Adding and Subtracting,

ii) Multiplying and Dividing,

iii) Exponents to Exponents,

iv) Reducing Radicals,

v) Simplifying Radicals.

Series IIIa

- No exercises available for this series at the moment.

Series IIIb

- No exercises available for this series at the moment.

Series IV

- No exercises available for this series at the moment.

About 420math

Welcome to 420math, a site dedicated to teaching mathematics and raising money for organizations that are working towards ending prohibition.

The purpose of the mathematics aspect of this project is as simple as it gets: Due to our technological advancements, mathematics has become an integral part of our society and the need to be literate in this language a necessity.

In much the same manner that the industrial revolution brought about a surge of literacy in natural languages, the advent of the Internet in combination with low-cost computing has brought about a surge in the need to be literate in the language of mathematics. To help in the process of exposing as many people as possible to this beautiful language, lessons for all major topics covered in secondary school math curriculums in Canada and the United State will be produced, i.e., all major topics starting with The Real Number Set up to and including an introductory course in Calculus and one for Probability and Statistics.

The 420 aspect of this project, similar to that of the mathematics, is also as simple as it gets: Our global continuation of America’s War on Drugs is collective insanity, hence, I have decided to support the battle to end prohibition, which, of course, is an inevitability.

It has been said that the first casualty of war is truth, and nowhere has this idiom applied more so than with the war on drugs. Much more on this subject later, for now all that matters is to end prohibition as quickly as possible, and for that we look to the United States Drug Enforcement Administration (DEA) for answers (emphasis added):

“Today's DEA arrest of Marc Scott Emery, publisher of Cannabis Culture Magazine, and the founder of a marijuana legalization group -- is a significant blow not only to the marijuana trafficking trade in the U.S. and Canada, but also to the marijuana legalization movement…

“Hundreds of thousands of dollars of Emery's illicit profits are known to have been channeled to marijuana legalization groups active in the United States and Canada. Drug legalization lobbyists now have one less pot of money to rely on.”

The above statement was the catalyst that gave birth to this project. It implies that Mr. Emery was targeted for political reasons, which, in turn, makes him a political prisoner. It also indicates that the DEA is interfering with the sovereignty of Canada, as well as interfering with citizens’ rights to change public policy in the United States of America.

That’s the bad news. The good news is, per their statement, the DEA has told us what we need to do to prevent their meddling in the governance of our societies. All we need to do is to make sure that organizations that are working towards ending prohibition are amply funded.

This is the essence of 420math, a site dedicated to teaching mathematics and raising money for organizations that are working towards ending prohibition. So, if you enjoy this work, if you are finding the information on this site useful, and if you would like to support this project, then please consider supporting the organizations listed below.

Peace,

chycho

Students for Sensible Drug Policy (SSDP)

Law Enforcement Against Prohibition (LEAP)

Erowid

Multidisciplinary Association for Psychedelic Studies (MAPS)

Marijuana Policy Project (MPP)

DrugSense

Educators For Sensible Drug Policy (EFSDP)

National Organization for the Reform of Marijuana Laws (USA) and NORML Canada

The November Coalition

Safer Alternative For Enjoyable Recreation (SAFER)

Drug Policy Alliance (DPA Network)

Table of Contents

The following are the two main tables of contents for this site:

1. The Language of Mathematics
2. Math in Real Life

The Language of Mathematics is geared towards teaching the syntax of this language, the rules and principles that we use in math. This project began in 2007 with The Real Number Set and will conclude with an introductory series on Calculus and one for Probability and Statistics.

Math in Real Life, started in 2012, is in its infancy and will continue indefinitely. The content in this section is geared towards using The Language of Mathematics to enhance our lives.

Lessons are also accessible through the tree menu provided in the left column. Specific topics can be found through the Index (left column).

Math in Real Life: Table of Contents

By far the most common question that I have been asked over the years regarding mathematics has been, ”When am I going to use math in real life?” That is, at least, the way I choose to perceive it. Unfortunately, more often than not, this question has come my way in the form of the following absurd absolute statement, “I’m never going to use this in real life!”

This erroneous perception of math’s practical usage has been the most prevalent problem in our education system, and by addressing it, the beauty of mathematics and its relevance reveals itself. Information gets absorbed faster. The details get scrutinized and people begin to recognize the occasions for which they have, can, and are already using math in their own lives.

This is the ultimate purpose of this section, to apply what we have learned from studying The Language of Mathematics to enhance our lives.

Content for this section will be organized in the following categories:

1. Mathematics of Prohibition

1. Games and Gambling
2. Personal Finance
3. Food and Fitness
4. Economics and Politics
5. Business and Investment
6. Energy and Environment
7. Art and Music
8. Science and Technology
9. Construction and Engineering
10. Miscellaneous

i. Mathematics of Prohibition

- coming soon

I. Games and Gambling

Section 1: Shooting Dice, Playing Craps

- coming soon

II. Personal Finance

Section 1: Time Management

- coming soon

III. Food and Fitness

- In the works

IV. Economics and Politics

- In the works

V. Business and Investment

- In the works

VI. Energy and Environment

- In the works

VII. Art and Music

- In the works

VIII. Science and Technology

- In the works

IX. Construction and Engineering

- In the works

X. Miscellaneous

- How to Study: Tip #2: Longer is Better - Introduction to Efficiency