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Thought-Process to Discover Knowledge
Open your mind to something exciting -- relearn what you know already, the "whole numbers", in a refreshing new form.
• regrouping or carry over
• de-grouping or borrowing
• First principles of comparison, addition, subtraction, multiplication, and division
• Procedural Simplifications by place-value
• numerical expressions and precedence order
(click for the list of lessons in this topic)
Introduction to Whole Numbers
Relearn the basics to build the proper understanding to the
• digits, numeral, and numbers
• numbers in abstraction
• grouping 10 into 1 of higher place-value
• face and place-values
• approximation and estimation of numbers
Comparing Whole Numbers
Do you know the whole number is an ordered sequence? Based on the order of whole numbers, the following are defined:
• predecessor and successor,
• largest or smallest,
• ascending and descending orders.
Whole numbers addition and subtraction
Do you understand what is regrouping or carry over and what is de-grouping or borrow? Do you want to have a refreshing new perspective of addition and subtraction of whole numbers?
Addition is combining two numbers.
Subtraction is taking away part of a number.
Learn here how these translate into simplified procedures for large numbers
(1) addition by place-value with regrouping and
(2) subtraction by place-value with de-grouping.
Whole Numbers: Multiplication and Division
Do you want to have a refreshing new perspective on multiplication and division of whole numbers?
Multiplication is repetition of a quantity.
Division is splitting of a number into equal parts.
Learn here how these translate into simplified procedures for large numbers (1) multiplication by place-value and (2) division by place-value.
Numerical Expressions with Whole Numbers
Do you understand what a numerical expression is?
Do you want to know the precedence order to be followed in simplifying numerical expressions?
That is, do you want to understand how BODMAS or PEMDAS helps to have an uniform understanding of what a numerical expression evaluates to?
Learn here -- the fundamentals of precedence order of arithmetics in numerical expressions.