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Thought-Process to Discover Knowledge
Decimals are introduced as standard form of fractions.
Fractions are part-of-whole, with different place-values specified as denominators. The Decimals are standard form of fractions with standard form for
• place-values : `1//10`, `1//100`, etc.
• position of digits : decimal point and order of digits after decimal point.
This course on decimals is revolutionary and amazingly simple.
In this, learn the following.
• Decimals as standard form of fractions
• Decimals as directed-numbers (positive and negative)
• Decimal arithmetics : first principles
• Decimal arithmetics : simplified procedures
(click for the list of lessons in this topic)
Fundamentals of Decimals
Decimals are introduced as "standard form of fractions". This introduction also provides a simple overview of expanded form of decimals and decimals in number-line.
To understand decimals and arithmetics with decimals, this foundation is very important.
Conversion of Decimals
This page gives a brief overview of converting fractions into decimals, and decimals into fractions.
At the end, an overview of numbers with digits in decimal place not repeating and not ending. These numbers are called irrational numbers.
This introduction on irrational numbers is amazingly simple and revolutionary. All students should go through this once to understand irrational numbers.
This page explains arithmetics with decimals such as, comparison, addition, subtraction, multiplication, and division.
The arithmetic operations are first explained in first-principles for decimals.
Then simplified procedures are explained.
Numerical Expressions with Decimals
Do you want to understand how the decimals are handled in numerical expressions?
In this lesson, learn the following for decimals.
• precedence order : PEMDAS or BODMAS
• sequence of operations : left to right
Most importantly, learn modified precedence order PEMA / BOMA.