Numbers are used for calculating and counting.
These counting numbers 1, 2, 3, 4, 5, .......... are called natural numbers.
In order to describe the number of elements in a collection with no objects, we use the symbol ‘0’ called zero.
The number ‘0’ together with the natural numbers gives us the numbers 0, 1, 2, 3, 4, 5, …………… which are called whole numbers.
In order to represent any numbers, we use ten symbols 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. These ten symbols are called digits or figures.
A group of digits denoting a number is called a numeral.
For example, 1237, 70156, 100758 etc. are numerals.`
Hereafter, we shall be using the words, number and numeral, as the same thing.
The method of representing a number in digits or figures is called notation.
Numeration is known as the method of expressing a number in words.
Thus in numbers we will learn how to read and write large numbers, comparison of numbers, estimation etc.......
● Reading and Writing Large Numbers
● Unit of Measurement
Estimate to Nearest Tens
Estimate to Nearest Hundreds
Estimate to Nearest Thousands
Estimating Sum and Difference
Estimating Product and Quotient
● Natural Numbers
Properties of Natural Numbers
● Whole Numbers
The Number Zero
Properties of Whole Numbers
Successor and Predecessor
Representation of Whole Numbers on Number Line
Properties of Addition
Properties of Subtraction
Properties of Multiplication
Properties of Division
Division as The Inverse of Multiplication
Representations of Fractions on a Number Line
Fraction as Division
Types of Fractions
Conversion of Mixed Fractions into Improper Fractions
Conversion of Improper Fractions into Mixed Fractions
Interesting Fact about Equivalent Fractions
Fractions in Lowest Terms
Like and Unlike Fractions
Comparing Like Fractions
Comparing Unlike Fractions
Addition and Subtraction of Like Fractions
Addition and Subtraction of Unlike Fractions
Inserting a Fraction between Two Given Fractions
● Profit And Loss
To find Profit or Loss when Cost Price and Selling Price are Given
To find Selling Price when Cost Price and Profit or Loss are Given
To find Cost Price when Selling Price and Profit or Loss are Given
Examples on Profit and Loss
● Number Line
Compare Two Numbers using a Number Line
Natural Numbers, Whole Numbers and Integers on Number Lines
Addition of Numbers using Number Line
Subtraction of Numbers using Number Line
Addition of Numbers without using Number Line
Subtraction of Numbers without using Number Line
Representing Fractions on Number Line
Representing Decimals on Number Line
● Number Line - Worksheets
Worksheet on Fractions and Decimals on Number Line
Worksheet on Addition and Subtraction using Number Line
Worksheet on Addition and Subtraction without using Number Line
6th Grade Page
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