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Decimal Multiplication

The Decimal Point

In Section 3, we discussed numbers called integers, that could represent a whole quantity such as 3 pies. But how can we represent just part of a whole? What kind of a number would represent half a pie?

Since numbers are built up with place values from 1 to 10from 10s

An Introduction to Numbers and Arithmetic

This post provides an introduction to numbers and arithmetic.

Under heavy construction.

Table of Contents

  1. Preamble for Instructors and Self-Learners
    1. use of pies – easily recognized things. about mathematicians
    2. Kahn Academy
  2. Introduction to Numbers
    1. How Do We Make Words?
    2. How Do We Make Numbers?
    3. Counting
    4. Place Value
    5. The Number Line
    6. Key Points
      1. New Words
      2. New Symbols
      3. New Rules
  3. Introduction to Arithmetic Operators
    1. What Is an Operator?
    2. Properties of Operators
    3. Arithmetic Expressions
    4. Key Points
      1. New Words
      2. New Symbols
      3. New Rules
  4. Integers
    1. What Are Integers?
    2. Introduction to Arithmetic Operators
      1. Notation
    3. Addition and Subtraction of Integers
    4. Multiplication of Integers
    5. Division of Integers
    6. Key Points
      1. New Words
      2. New Symbols
      3. New Rules
      4. Conventional Practices
  5. Fractions
    1. What Is a Fraction?
    2. Addition and Subtraction of Fractions
    3. Multiplication of Fractions
    4. Division of Fractions
    5. Equivalence in Fractions
    6. Key Points
      1. New Words
      2. New Symbols
      3. New Rules
      4. Conventional Practices
  6. Decimal Numbers
    1. What is a Decimal Number?
    2. Decimal Addition and Subtraction
    3. Decimal Multiplication
    4. Decimal Division
    5. Key Points
      1. New Words
      2. New Symbols
      3. New Rules
      4. Conventional Practices
  7. Negative Numbers
    1. The Intuition Behind Negative Numbers
    2. Absolute Value
    3. Multiplication and Division of Negative Integers
    4. Key Points
      1. New Words
      2. New Symbols
      3. New Rules
  8. Comparison of Numbers
    1. The Comparison Operators
    2. Using the Number Line
    3. Key Points
      1. New Words
      2. New Symbols
      3. New Rules
      4. Conventional Practices

Next Steps

California is the Canary

We examined the western U.S. drought in an essay published July 1, 2014: Jeopardy Question: This Body of Water Determines the Fate of the Modern Day Anasazi. In it we focused on the situation of Lake Mead, the reservoir is a vital source of drinking and irrigation water for Las Vegas and eastern California. The reservoir is also important for power generation since it forms the forebay of the Hoover Dam generating station.

Sam Collins – May, 2015

  • Short-term:
    • bearish
  • Midterm:
    • down
  • Long-term:
    • the long-term trend is bullish

The ‘Grexit’ Issue and the Problem of Free Trade

By George Friedman

The Greek crisis is moving toward a climax. The issue is actually quite simple. The Greek government owes a great deal of money to European institutions and the International Monetary Fund. It has accumulated this debt over time, but it has become increasingly difficult for Greece to meet its payments. If Greece doesn’t meet these payments, the IMF and European institutions have said they will not extend any more loans to Greece. Greece must make a calculation. If it pays the loans on time and receives additional funding, will it be better off than not paying the loans and being cut off from more?

Coming to Terms With the American Empire

By George Friedman

“Empire” is a dirty word. Considering the behavior of many empires, that is not unreasonable. But empire is also simply a description of a condition, many times unplanned and rarely intended. It is a condition that arises from a massive imbalance of power. Indeed, the empires created on purpose, such as Napoleonic France and Nazi Germany, have rarely lasted. Most empires do not plan to become one. They become one and then realize what they are. Sometimes they do not realize what they are for a long time, and that failure to see reality can have massive consequences.

The Ontario Employment Picture: March, 2015 – Continuing Deterioration

The last time we reviewed employment in Ontario was the December report: The Ontario Employment Picture: December, 2014 – Deteriorating. We have heard nothing from the province about jobs created so we suspect the numbers are not good. Let’s dig into them.

In this report we present our analysis of the Ontario labour market component of the total Canadian market using two sources of data from Statistics Canada: CANSIM Table 282-0087, Labour force survey estimates (LFS), by sex and age group, seasonally adjusted and unadjusted monthly, and CANSIM Table 282-0088, Labour force survey estimates (LFS), employment by North American Industry Classification System (NAICS), seasonally adjusted and unadjusted. Data selection methodology is in the Appendix. The data we use is not seasonally adjusted*. All terms are explained in the CANSIM table footnotes and are not reproduced here. Presentation and discussion of the data follows.

The Israeli Electorate “Get’s it Wrong” Again.

Below is part 3 of Paul’s analysis of the Israeli election. We present this essay reprinted by permission of Paul and from The Bayview Review. See the links at the end for direct access to the rest of Paul’s work.

The Dead Heat That Wasn’t.

My local newspaper, the Ottawa Citizen, arrived at our door around 6:00 AM with the latest news from Israel under the headline: “Netanyahu’s Likud and Herzog’s Zionist Union Must Now Get To Work To Try To Form A Coalition Government.” The article begins: “Israel appeared to be headed for weeks of political wrangling Tuesday night after exit polls indicated that the two leading parties were in a dead heat following the parliamentary election.”

“Something Radically New” in the Middle East

Here is an analysis by Paul of the new war in Yemen and the larger war between Sunni and Shia Islam. We present this essay reprinted by permission of Paul and from The Bayview Review. See the links at the end for direct access to the rest of Paul’s work.

BULLETIN:

Foreign intervention in Yemen’s chaos has dramatically raised the stakes in the Arabian Peninsula, threatening to expand what is already a civil war into a conflict pitting Iran against Saudi Arabia and an Arab coalition. The Saudis launched Operation “Decisive Storm” last Wednesday with dozens of airstrikes in an effort to blunt the advance of Houthi militia and allied army units on the port of Aden — and to protect the last bastion of Yemen’s internationally-recognized President Abd-Rabbu Mansour Hadi… Many analysts were surprised at the speed and scale of the Saudi air campaign, which the Kingdom said would continue until the Houthis — a Shia minority that has swept across the country in the last six months — retreated and laid down their arms. (“Yemen in freefall: How chaos could spiral into all-out regional war,” CNN, March 30, 2015. ) 

A few days ago, the potentates who rule the lives of the people of  Egypt, Saudi Arabia, United Arab Emirates, Kuwait, Qatar, Bahrain, Jordan, Morocco, Egypt and Pakistan entered into a pact to eliminate by force the Houthi regime which has been governing most of Yemen – at least, to the extent that anybody has ever governed this lawless corner of Arabia – since the end of last year. The Saudi-led coalition has a so-far-silent partner in the United States, which is assisting with intelligence and logistics.

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