Whole Numbers : Addition: First Principles

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Addition: First Principles

what you'll learn...

overview

This page introduces addition of whole numbers as combining two quantities and counting or measuring the combined quantity. add two numbers Counts of $3$ $3$ and $4$ $4$ are combined together and the counting is done from $1$ $1$ to $7$ $7$ . The resulting count is $7$ $7$ Measures of $3$ $3$ and $4$ are combined together. The measure of combined quantity is $7$

The same is abstracted for addition in number-line. add in number line The definition of addition in first principles forms the basis to understanding the simplified procedure for addition of large numbers.

combine them

There are $3$ red cars and $4$ blue cars in the figure. These cars are combined together and the total number of cars are counted.

Considering the figure with $3$ red cars and $4$ blue cars. $3$ and $4$ are combined together and the counting is done from $1$ to $7$ . The resulting count is $7$ .

A red pencil is $3$ centimeters in length. A green pencil is $4$ centimeters in length.

The two pencils are placed side-by-side. The length measurements is taken from
$0$ and the measure at the end is $7$ .

The count or measure of quantities can be combined or added.

The addition results in count or measure of the combined quantity.

Addition $3+4$ is given in number-line. The count is started from $3$ . $4$ jumps are made to land in $7$ . The result of the addition is $7$ .

addend and sum

The English word addition means: combining two quantities and measuring or counting the combined quantity.

Addition - First Principles : Two numbers are considered, each of which represents a count or measurement. The quantities represented by the numbers are combined to form a result representing a combined count or measurement. The combined count or measurement is the result of addition.

eg:

$20$ and

$13$ are combined together

$20+13 = 33$ .

$20$ is an addend

$13$ is also an addend

$33$ is the sum

addend is the number that is added to, and also the number that is being added.

sum is the result of the addition.

What is the sum of $4$ and $2$ ?
The answer is ' $6$ '.

summary

Outline

The outline of material to learn whole numbers is as follows

Note: click here for detailed outline of Whole numbers

• Introduction

→ Numbers

→ Large Numbers

→ Expanded form

→ Face and place values

→ Approximation and Estimation

• Comparison

→ Comparing two numbers

→ Number line

→ Predecessor & Successor

→ Largest & Smallest

→ Ascending & Descending

• Addition Subtraction

→ Addtion: First Principles

→ Addition: Simplified Procedure

→ Subtraction: First Principles

→ Subtraction: Simplified Procedure

• Multiplication Division

→ Multiplication: First Principles

→ Multiplication: Simplified Procedure

→ Division: First Principles

→ Division: Simplified Procedure

• Numerical Expression

→ Introducing Numerical Expressions

→ Precedence

→ Sequence

→ Brackets