Topics
Term - 1
Numbers
- Fundamentals of Numbers
- Successor and Predecessor of Whole Number
- Introducing a 5 Digit Number - 10,000
- Introducing the Six Digit Number - 1,00,000
- Introducing seven-digit numbers
- Concept of Place Value
- Use of Commas
- Crores
- Comparing Numbers
- Ascending and Descending Order of Numbers
- Forming Numbers from Digits
- BODMAS Rule
- Rounding off a Number
- To Estimate Sum Or Difference
- Estimating Products of Numbers
- Whole Numbers
- Commutativity Property of Whole Number
- Associativity Property of Whole Numbers
- Distributivity Property of Whole Numbers
- Identity of Addition and Multiplication of Whole Numbers
Introduction to Algebra
Ratio and Proportion
Geometry
Statistics
Information Processing
- Systematic Listing
- Systematic Completion of Lists
Term - 2
Numbers
- Concept of Even and Odd Number
- Prime and Composite Numbers
- Eratosthenes’ Method of Finding Prime Numbers
- Tests for Divisibility of Numbers
- Divisibility by 2
- Divisibility by 3
- Divisibility by 5
- Divisibility by 4
- Divisibility by 6
- Divisibility by 8
- Divisibility by 9
- Divisibility by 10
- Divisibility by 11
- Prime Factorisation
- Factors and Common Factors
- Highest Common Factor (HCF)
- Multiples and Common Multiples
- Lowest Common Multiple
- Relationship between the Numbers and their HCF and LCM
Measurements
- Conversion of Units
- Fundamental Operations on Quantities with Different Units
- Measures of Time
- Conversion of Time
Bill, Profit and Loss
Geometry
- Basic Concepts of Triangles
- Classification of Triangles based on Sides
- Classification of Triangles based on Angles
- Basic Properties of a Triangle
- Triangle Inequality
- Drawing a Perpendicular to a Line
- Construction of Parallel Lines
Information Processing
- Tree Diagram
- Conversion of Tree Diagrams into Numerical Expressions
- Conversion of Algebraic Expressions into Tree Diagrams
Term - 3
Fractions
- Concept of Fraction
- Concept of Equivalent Fractions
- Comparing Fractions
- Addition of Fraction
- Subtraction of Fraction
- Concept of Mixed Fractions
- Multiplication of a Fraction by a Whole Number
- Using Operator 'Of' with Multiplication and Division
- Multiplication of Fraction
- Division of Fractions
- Concept of Proper and Improper Fractions
Integers
Perimeter and Area
- Concept of Perimeter
- Perimeter of a Rectangle
- Perimeter of Squares
- Perimeter of Triangle
- Concept of Area
- Area of Rectangle
- Area of Square
- Area of a Triangle
- Perimeter and Area of Combined Shapes
- Estimate the Area of Irregular Shape Using a Graph Paper
Symmetry
Information Processing
- Iterative Processes
- Iterative Process in Numbers
- Euclid’s Game
- Euclid’s Division Algorithm
- Arranging Things and Putting Them in Order
Notes
Identity of addition and multiplication:
Identity means that whatever the number or value may be, the answer stays the same in mathematical operations like addition and multiplication.
1. Additive Identity:
- Additive identity means that we get the same whole number when added to another whole number.
- Zero is called an identity for the addition of whole numbers or additive identity for whole numbers i.e., a + 0 = a, (a is any whole number).
- Example, 0 + 15 = 15
2. Multiplicative Identity:
- Multiplicative identity means that we get the same whole number when multiplied by another whole number.
- Zero has a special role in multiplication too. Any number, when multiplied by zero, becomes zero. Example, 5 × 0 = 0
- 1 is the identity for multiplication of whole numbers or multiplicative identity for whole numbers.
- Example, 1 × 100 = 100.
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Series: Identity of Addition and Multiplication
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