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Class 5
Decimals
Expanded Form of Decimal Numbers
Class 5
1.
Roman Numeral (up to 500)
1.1.
Introduction to Roman Numerals
1.2.
Write Roman Numerals for Hindu-Arabic Numerals
1.3.
Write Hindu-Arabic Numerals for Roman Numerals
1.4.
Meaningless Roman Numerals
1.5.
Compare Roman Numerals
1.6.
Operations on Roman Numerals
2.
Large Numbers
2.1.
Representation of Large Numbers
2.1.1.
Write Large Numbers by Separating the Periods
2.1.1.1.
Write Large Numbers by Separating the Periods (Indian Number System)
2.1.1.2.
Write Large Numbers by Separating the Periods (International Number System)
2.1.2.
Write Numerals as Number Names
2.1.2.1.
Write Numerals as Number Names (Indian Number System)
2.1.2.2.
Write Numerals as Number Names (International Number System)
2.1.3.
Write Number Names as Numerals
2.1.3.1.
Write Number Names as Numerals (Indian Number System)
2.1.3.2.
Write Number Names as Numerals (International Number System)
2.1.4.
Relation Between Different Periods
2.1.4.1.
Relation Between Different Periods (Indian Number System)
2.1.4.2.
Relation Between Different Periods (International Number System)
2.1.5.
Numbers in Expanded Form
2.2.
Successor and Predecessor
2.2.1.
Successor of a Number
2.2.2.
Predecessor of a Number
2.3.
Place of a Digit
2.4.
Compare Large Numbers
2.5.
n
Digit Numbers
3.
Operations on Large Numbers
3.1.
Addition
3.1.1.
Addition
3.1.2.
Word Problems on Addition
3.2.
Subtraction
3.2.1.
Subtraction
3.2.2.
Word Problems on Subtraction
3.3.
Multiplication
3.3.1.
Properties of multiplication
3.3.2.
Multiplication
3.3.3.
Word Problems on Multiplication
3.4.
Division
3.4.1.
Division
3.4.2.
Word Problems on Division
4.
Simplification
4.1.
Numerical Expressions Without Brackets (DMAS)
4.2.
Numerical Expressions With Brackets (BODMAS)
5.
Factors and Multiples
5.1.
Factors and Multiples of a Number
5.1.1.
Finding Factors of a Number
5.1.2.
Finding Multiples of a Number
5.1.3.
Word Problems on Factors and Multiples
5.1.4.
Properties of Factors and Multiples
5.1.5.
Types of Numbers
5.1.5.1.
Odd and Even Numbers
5.1.5.1.1.
Even numbers
5.1.5.1.2.
Odd numbers
5.1.5.1.3.
Properties of Odd and Even numbers
5.1.5.2.
Prime and Composite Numbers
5.1.5.2.1.
Definition
5.1.5.2.2.
Composite Numbers
5.1.5.2.3.
Prime Numbers
5.1.5.2.4.
Properties of Composite and Prime
5.1.5.3.
Twin Primes
5.1.5.4.
Co-Primes
5.2.
Tests of Divisibility
5.2.1.
Test Divisibility by 2
5.2.2.
Test Divisibility by 3
5.2.3.
Test Divisibility by 4
5.2.4.
Test Divisibility by 5
5.2.5.
Test Divisibility by 6
5.2.6.
Test Divisibility by 7
5.2.7.
Test Divisibility by 8
5.2.8.
Test Divisibility by 9
5.2.9.
Test Divisibility by 10
5.2.10.
Test Divisibility by 11
5.3.
Prime Factors of a Number
5.3.1.
By Factor Tree Method
5.3.2.
By Prime Factorization
5.4.
HCF and LCM
5.4.1.
HCF (Highest Common Factor)
5.4.2.
LCM (Lowest Common Multiple)
5.4.3.
Properties of LCM and HCF
5.4.4.
Word Problems on HCF and LCM
6.
Fractions
6.1.
Like and Unlike Fractions
6.2.
Unit Fraction
6.3.
Proper, Improper and Mixed Fractions
6.3.1.
Understand the Meaning of Proper, Improper and Mixed Fractions
6.3.2.
Convert Improper Fractions to Mixed Fractions
6.3.3.
Convert Mixed Fractions to Improper Fractions
6.4.
Equivalent Fractions
6.5.
Simplest Form of a Fraction
6.6.
Compare Fractions
6.6.1.
Compare Fractions with Like Denominators
6.6.2.
Compare Fractions with Like Numerators
6.6.3.
Compare Fractions with Unlike Denominators and Unlike Numerators
7.
Addition and Subtraction of Fractions
7.1.
Addition of Fractions
7.1.1.
Addition of Like Fractions
7.1.2.
Addition of Unlike Fractions
7.1.3.
Addition of Mixed Fractions
7.2.
Subtraction of Fractions
7.2.1.
Subtraction of Like Fractions
7.2.2.
Subtraction of Unlike Fractions
7.2.3.
Subtraction of Mixed Fractions
7.3.
Mixed Problems on Addition and Subtraction
7.4.
Word Problems on Addition and Subtraction of Fractions
8.
Multiplication and Division of Fractions
8.1.
Multiplication of Fractions
8.1.1.
Multiplication of a Fraction by a Whole Number
8.1.2.
Multiplication of a Fraction by a Fraction
8.1.3.
Word Problems on Multiplication of Fractions
8.1.4.
Fraction of a Fraction
8.2.
Division of Fractions
8.2.1.
Multiplicative Inverse or Reciprocal of a Fraction
8.2.2.
Division of a Fraction by a Fraction
8.2.3.
Division of a Fraction by a Whole Number
8.2.4.
Division of a Whole Number by a Fraction
8.2.5.
Word Problems on Division of Fractions
9.
Decimals
9.1.
Reading a Decimal Number
9.2.
Place Value Chart
9.3.
Pictorial Representation of a Decimal Number
9.4.
Expanded Form of Decimal Numbers
9.5.
Like and Unlike Decimals
9.6.
Comparing Decimals
9.7.
Ordering Decimals
9.8.
Relate Decimals and Fractions
9.8.1.
Convert Decimals to Fractions
9.8.1.1.
Convert Decimals to Proper Fractions
9.8.1.2.
Convert Decimals to Improper Fractions
9.8.1.3.
Convert Decimals to Mixed Fractions
9.8.2.
Convert Fractions to Decimals
9.8.2.1.
Convert Fractions with Denominators as Powers of 10 to Decimals
9.8.2.2.
Convert Any Fractions to Decimals
9.9.
Operations on Decimals
9.9.1.
Addition and Subtraction of Decimals
9.9.1.1.
Addition of Decimals
9.9.1.2.
Subtraction of Decimals
9.9.1.3.
Mixed Operations on Decimals: Addition and Subtraction
9.9.1.4.
Word problems on Addition and Subtraction of Decimals
9.10.
Multiplication and Division of Decimals
9.10.1.
Multiplication of Decimals
9.10.1.1.
Multiplying a Decimal by 10, 100, 1000 etc
9.10.1.2.
Multiplying a Decimal by a Whole Number
9.10.1.3.
Multiplication of Two/Three Decimals
9.10.1.4.
Word Problems on Multiplication of Decimals
9.10.2.
Division of Decimals
9.10.2.1.
Division of a Decimal by 10, 100, 1000 etc
9.10.2.2.
Division of a Decimal by a Multiple of 10, 100, 1000 etc
9.10.2.3.
Division of a Decimal by a Whole Number
9.10.2.4.
Division of a Decimal by a Decimal
9.10.2.5.
Division of a Whole Number by a Decimal
9.10.2.6.
Word Problems on Division of Decimals
10.
Rounding Numbers
10.1.
Rounding off the Numbers
10.1.1.
Rounding Off to the Nearest Ten
10.1.2.
Rounding Off to the Nearest Hundred
10.1.3.
Rounding Off to the Nearest Thousand
10.1.4.
Rounding off to the Nearest Ten Thousand
10.1.5.
Rounding Off to the Nearest Lakh
10.1.6.
Rounding Off to the Nearest ten-lakh
10.1.7.
Rounding Off to the Nearest Crore
10.2.
Rounding off the Decimals
10.2.1.
Rounding Off to the Nearest One
10.2.2.
Rounding Off to the Nearest Tenth
10.2.3.
Rounding Off to the Nearest Hundredth
10.2.4.
Rounding Off to the Nearest Thousandth
11.
Measurement
11.1.
Measures of Length
11.1.1.
Conversion of Metric Units of Length
11.1.1.1.
Conversion from Higher to Lower Units of Length
11.1.1.2.
Conversion from Lower to Higher Units of Length
11.1.2.
Addition and Subtraction of Length Measures
11.1.2.1.
Addition of Lengths
11.1.2.2.
Subtraction of Lengths
11.1.3.
Multiplication and Division of Length Measures
11.1.3.1.
Multiplication of Lengths
11.1.3.2.
Division of Lengths
11.1.4.
Word Problems on Length
11.1.4.1.
Word Problems on Addition and Subtraction of Lengths
11.1.4.2.
Word Problems on Multiplication and Division of Lengths
11.2.
Measures of Mass/Weight
11.2.1.
Conversion of Metric Units of Mass
11.2.1.1.
Conversion from Higher to Lower Units of Mass
11.2.1.2.
Conversion from Lower to Higher Units of Mass
11.2.2.
Addition and Subtraction of Mass Measures
11.2.2.1.
Addition of Mass
11.2.2.2.
Subtraction of Mass
11.2.3.
Multiplication and Division of Mass Measures
11.2.3.1.
Multiplication of Mass
11.2.3.2.
Division of Mass
11.2.4.
Word Problems on Mass
11.2.4.1.
Word Problems on Addition and Subtraction of Mass
11.2.4.2.
Word Problems on Multiplication and Division of Mass
11.3.
Measures of Capacity/Volume
11.3.1.
Conversion of Metric Units of Capacity
11.3.1.1.
Conversion from Higher to Lower Units of Capacity
11.3.1.2.
Conversion from Lower to Higher Units of Capacity
11.3.2.
Addition and Subtraction of Capacity Measures
11.3.2.1.
Addition of Capacity in Liters and Milliliters
11.3.2.2.
Subtraction of Capacity in Liters and Milliliters
11.3.3.
Multiplication and Division of Capacity
11.3.3.1.
Multiplication of Capacity
11.3.3.2.
Division of Capacity
11.3.4.
Word Problems on Capacity
11.3.4.1.
Word Problems on Addition and Subtraction of Capacity
11.3.4.2.
Word Problems on Multiplication and Division of Capacity
12.
Average
13.
Percentage
13.1.
Convert a Fraction into Percentage
13.2.
Convert a Percentage into Fraction
13.3.
Convert Decimal into Percentage
13.4.
Convert Percentage into Decimal
13.5.
Percentage of a Quantity
13.6.
Word Problems on Percentage
14.
Time
14.1.
24-Hour Clock Time
14.1.1.
Understanding 24-Hour Clock Time
14.1.2.
Conversion from 24-Hour Clock Time to 12-Hour Clock Time
14.1.3.
Conversion from 12-Hour Clock Time to 24-Hour Clock Time
14.2.
Use of 'AM' and 'PM'
14.3.
Converting Higher Units into Lower Units
14.4.
Converting Lower Units into Higher Units
14.5.
Addition and Subtraction of Time
14.5.1.
Addition of Time
14.5.2.
Subtraction of Time
14.5.3.
Word Problems on Time
15.
Money
15.1.
Conversion of Money
15.1.1.
Convert Rupees to Paise
15.1.2.
Convert Paise to Rupees
15.2.
Addition and Subtraction of Money
15.2.1.
Addition of Money
15.2.2.
Subtraction of Money
15.3.
Multiplication and Division of Money
15.3.1.
Multiplication of Money by a Whole Number
15.3.2.
Division of Money by a Whole Number
15.4.
Word problems on Money
15.4.1.
Word Problems on Addition of Money
15.4.2.
Word Problems on Subtraction of Money
15.4.3.
Word Problems on Multiplication of Money
15.4.4.
Word Problems on Division of Money
16.
Geometry
16.1.
Understand the Basic Terms in Geometry (Point, Line, line segment, ray, and Plane)
16.2.
Types of Lines
16.2.1.
Parallel Lines
16.2.2.
Perpendicular Lines
16.2.3.
Intersecting Lines
16.2.4.
Identifying the Type of Line
16.3.
Set Squares
16.4.
Collinear and Non-Collinear Points
16.5.
Triangles
16.5.1.
Introduction to Triangles
16.5.2.
Various Types of Triangles by Considering the Lengths of their Sides
16.5.3.
Various Types of Triangles by Considering their Angles
16.5.4.
The Possibility of Forming a Triangle with Sides of Given Lengths
16.5.5.
Angle Sum Property of a Triangle
16.6.
Circle
16.6.1.
Draw a Circle with the help of a Compass
16.6.2.
Terms Related to a Circle
16.6.3.
Radius and Diameter of a Circle
16.6.4.
Interior and Exterior of a Circle
16.6.5.
Concentric Circles
17.
Concept of Angles
17.1.
Introduction to Angles
17.2.
Naming an Angle
17.3.
Interior and Exterior of an Angle
17.4.
Comparison of Angles
17.5.
Measuring an Angle by a Protractor
17.6.
Classification of Angles
17.7.
Pairs of Relates Angles
17.7.1.
Complementary Angles
17.7.2.
Supplementary Angles
17.8.
Drawing Angles using a Protractor
18.
Perimeter
18.1.
Understanding the Concept of Perimeter
18.2.
Perimeter of a Rectilinear Figure
18.3.
Perimeter of a Triangle
18.4.
Perimeter of a Rectangle
18.5.
Perimeter of a Square
19.
Area
19.1.
Area of a Rectangle
19.2.
Area of a Square
20.
Volume of Solids
20.1.
Volume of a Cuboid
20.2.
Volume of a Cube
21.
Symmetry
21.1.
Line symmetry
21.2.
Rotational symmetry
22.
Pattern
22.1.
Number Patterns
22.2.
Figure Patterns
22.3.
Magic Squares
23.
Pictograph and Bar Graph
23.1.
Pictograph
23.1.1.
Introduction to Pictograph
23.1.2.
Drawing Pictographs
23.1.3.
Interpreting Pictographs
23.2.
Bar Graph
23.2.1.
Drawing Bar Graphs
23.2.2.
Interpreting Bar Graphs
24.
Three Dimentional Geometry (Boxes and Sketches)
24.1.
Identify Different Solid Shapes (Cuboid, Cube, Cone, Cylinder, Sphere, Prism, and Pyramids)
24.2.
Solid Shapes Around Us
24.3.
Vertices, Edges and Faces of Solid Objects
24.4.
Net of a 3-D Shape
Class 5 NCERT (CBSE and ICSE)
Expanded Form of Decimal Numbers
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