Grouping//Associative Property of Multiplication | Problems, Online Practice, Tests, Worksheets, Quizzes, Assignments | Class 4 | NCERT (CBSE and ICSE)

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Class 4
Multiplication and Division
Multiplication
Properties of Multiplication
Grouping//Associative Property of Multiplication

Class 4

1. Roman Numerals (up to 100)

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. Number System

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)

2.2. Place Value and Face Value of a Digit in a Numeral

2.3. Expanded Form of a Number

2.4. Successor and Predecessor

2.4.1. Successor of a Number

2.4.2. Predecessor of a Number

2.5. Skip Counting

2.6. Compare and Order Numbers

2.6.1. Compare Numbers With Same Number of Digits

2.6.2. Compare Numbers With Different Number of Digits

2.7. Forming Numbers

3. Addition and Subtraction

3.1. Addition

3.1.1. Addition without Carrying

3.1.2. Addition with Carrying

3.1.3. Find the Missing Digit While Adding Numbers

3.1.4. Properties of Addition on Numbers

3.1.4.1. Order/Commutative Property of Addition

3.1.4.2. Grouping/Associative Property of Addition

3.1.4.3. Addition Property of Zero

3.1.5. Word Problems on Addition

3.2. Subtraction

3.2.1. Subtraction without Borrowing

3.2.2. Subtraction with Borrowing

3.2.3. Word Problems on Subtraction

4. Multiplication and Division

4.1. Multiplication

4.1.1. Properties of Multiplication

4.1.1.1. Order/Commutative Property of Multiplication

4.1.1.2. Grouping//Associative Property of Multiplication

4.1.1.3. Multiplicative Property of One

4.1.1.4. Multiplicative Property of Zero

4.1.1.5. Distributive Property of Multiplication over Addition

4.1.1.6. Identify the Property of Multiplication

4.1.2. Multiplication of a Number by 10, 100, and 1000 etc.

4.1.3. Multiplication of a Number by a Multiple of 10, 100, and 1000 etc.

4.1.4. Multiplication of 3 and 4-digit Numbers

4.1.5. Word Problems on Multiplication

4.2. Division

4.2.1. Properties of Division

4.2.1.1. Division by One

4.2.1.2. Division by the Number Itself

4.2.1.3. Division by Zero

4.2.1.4. Dividing Zero by a Number

4.2.2. Division by a 2-digit Number

4.2.3. Divider, Quotient, Dividend, and Remainder

4.2.4. Division by 10, 100, 1000 etc.

4.2.5. Word Problems on Division

5. Factors and Multiples

5.1. Factors and Multiples of a Number

5.1.1. Factors

5.1.1.1. Finding Factors of a Number

5.1.1.2. HCF (Highest Common Factor)

5.1.2. Multiples

5.1.2.1. Finding Multiples of a Number

5.1.2.2. LCM (Lowest Common Multiple)

5.1.3. Properties of Factors and Multiples

5.2. Prime and Composite Numbers

5.2.1. Prime Numbers

5.2.2. Composite Numbers

5.2.3. Properties of Composite and Prime

5.3. Prime Factors of a Number by Factor Tree Method

5.4. Tests of Divisibility

5.4.1. Test Divisibility by 2

5.4.2. Test Divisibility by 3

5.4.3. Test Divisibility by 5

5.4.4. Test Divisibility by 6

5.4.5. Test Divisibility by 9

5.4.6. Test Divisibility by 10

6. Number Patterns

6.1. Rule for the Pattern

6.2. Find the Missing Term in the Pattern

7. Estimation

7.1. Rounding Numbers

7.1.1. Rounding Numbers to the Nearest Ten

7.1.2. Rounding Numbers to the Nearest Hundred

7.1.3. Rounding Numbers to the Nearest Thousand

7.2. Estimating Sum

7.3. Estimating Difference

7.4. Estimating Products

8. Fractions

8.1. Fraction as a Part of a Whole

8.2. Fractional Numbers and Fractions

8.3. Numerator and Denominator of a Fraction

8.4. Division as Fraction

8.5. Fraction as Division

8.6. Fractions on a Number Line

8.7. Equivalent Fractions

8.8. Comparison of Fractions

8.8.1. Compare and Order Fractions with Same Denominators

8.8.2. Compare and Order Fractions with Same Numerators

8.9. Like and Unlike Fractions

8.10. Unit Fraction

8.11. Proper, Improper and Mixed fractions

8.11.1. Understand the Meaning of Proper, Improper and Mixed Fractions

8.11.2. Convert Improper Fractions to Mixed Fractions

8.11.3. Convert Mixed Fractions to Improper Fractions

8.12. Addition and Subtraction of Fractions

8.12.1. Addition of Like Fractions

8.12.2. Subtraction of Like Fractions

9. Decimals

9.1. Conversions

9.1.1. Converting Decimals into Fractions(With Denominators as Power of 10)

9.1.2. Converting Fractions(With Denominators as Power of 10) into Decimals

9.2. Pictorial Representation of a Decimal Number

9.3. Number Names of Decimal Numbers

9.4. Place Value of the Digits of a Decimal Number

9.5. Expanded Form of Decimal Numbers

10. Money

10.1. Express Money in Words

10.2. Express Money in Figures

10.3. Convert to Paise

10.3.1. Convert Rupees into Paise

10.3.2. Convert Rupees and Paise into Paise

10.4. Convert from Paise

10.4.1. Convert Paise into Rupees

10.4.2. Convert Paise into Rupees and Paise

10.4.3. Convert Rupees and Paise to Amount in Figures

10.5. Addition of Money

10.6. Subtraction of money

10.7. Multiplication of Money by a Whole Number

10.8. Division of Money by a Whole Number

10.9. Word problems on money

10.9.1. Word Problems on Money Involving Addition

10.9.2. Word Problems on Money Involving Subtraction

10.9.3. Word Problems on Money Involving Both Addition and Subtraction

10.9.4. Word Problems on Money Involving Multiplication by a Whole Number

10.9.5. Word Problems on Money Involving Division by a Whole Number

11. Measures of Length, Mass and Capacity

11.1. Measurement 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 Mixed Units to Lower Units of Length

11.1.1.3. Conversion from Lower to Higher Units of Length

11.1.2. Addition of Length Measurements

11.1.3. Subtraction of Length Measurements

11.1.4. Word Problems on Length

11.1.4.1. Word Problems on Addition of Lengths

11.1.4.2. Word Problems on Subtraction of Lengths

11.2. Measurement 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 Mixed Units to Lower Units of Mass

11.2.1.3. Conversion from Lower to Higher Units of Mass

11.2.2. Addition of Mass Measurements

11.2.3. Subtraction of Mass Measurements

11.2.4. Word Problems on Mass

11.2.4.1. Word Problems on Addition of Mass

11.2.4.2. Word Problems on Subtraction of Mass

11.3. Measurement 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 Mixed Units to Lower Units of Capacity

11.3.1.3. Conversion from Lower to Higher Units of Capacity

11.3.2. Addition of Capacity Measurements

11.3.3. Subtraction of Capacity Measurements

11.3.4. Word Problems on Capacity

11.3.4.1. Word Problems on Addition of Capacity

11.3.4.2. Word Problems on Subtraction of Capacity

12. Unitary Method

12.1. Word problems Using Unitary Method Involving Multiplication

12.2. Word problems Using Unitary Method Involving Division

12.3. Word problems Using Unitary Method Involving Both Multiplication and Division

13. Geometry

13.1. Point, Line Segment, Line and Ray

13.1.1. Introduction to Point, Line Segment, Line and Ray

13.1.2. Types of Lines

13.1.2.1. Straight and Curved Lines

13.1.2.2. Horizontal, Vertical, Curved, and Slant Lines

13.1.3. Identify and Count the Number of Line Segments

13.1.4. Measure Line Segments

13.2. Open and Closed Shapes

13.3. Simple Closed Shapes

13.4. Polygons

13.4.1. Understanding Polygons

13.4.2. Name the Polygon

13.4.3. Introduction to Plane Shapes (Quadrilateral, Rectangle, Square and Triangle)

13.4.4. Count the Vertices and Sides of a Plane Shape

13.4.5. Compare Vertices and Sides of Different Plane Shapes

13.5. Circle

13.5.1. Terms Related to a Circle

13.5.2. Relationship Between Radius and Diameter of a Circle

14. Perimeter of Rectilinear Figures

14.1. Basic Definition of Perimeter

14.2. Perimeter of Triangle

14.3. Perimeter of a Rectangle

14.4. Perimeter of a Square

14.5. Perimeter of a Other Geometric Figures

15. Three-Dimensional Shapes

15.1. Identify Different Solid Shapes (Cuboid, Cube, Cone, Cylinder, Sphere, Prism, and Pyramids)

15.2. Vertices, Edges and Faces of Solid Objects

15.3. Net of a 3-D Shape

16. Symmetry

16.1. Introduction to Symmetry

16.2. Symmetry Around Us

16.3. Symmetry in Geometric Figures

16.4. Symmetry in Alphabets

16.5. Symmetry in Numerals

17. Time

17.1. Clock

17.1.1. Basic Facts About Clocks and Time

17.1.2. Measuring Time

17.1.2.1. Reading Time on the Clock (Minute Hand is at 3, 6, or 9)

17.1.2.2. Reading Time on the Clock (Minute hand is at any number)

17.1.2.3. Word Problems on Reading Time

17.1.2.4. Relate Days, Hours, Minutes, and Seconds

17.1.3. 24-Hour Clock Time

17.1.3.1. Understanding 24-Hour Clock Time

17.1.3.2. Conversion from 24-Hour Clock Time to 12-Hour Clock Time

17.1.3.3. Conversion from 12-Hour Clock Time to 24-Hour Clock Time

17.1.4. Use of 'AM' and 'PM'

17.1.5. Addition and Subtraction of Time

17.1.5.1. Addition of Time

17.1.5.2. Subtraction of Time

18. Calendar

18.1. Days of the Week

18.2. Months of the Year

18.3. Ordinary, Leap, and Century Years

18.4. Writing Dates

18.5. Word Problems on Calendar

19. Pictorial Representation of Data

19.1. Basic Definition of Data

19.2. Pictographs

19.2.1. Introduction to Pictograph

19.2.2. Drawing Pictographs

19.2.3. Interpreting Pictographs

19.3. Introduction to Bar Graphs

Class 4 NCERT (CBSE and ICSE) Grouping//Associative Property of Multiplication

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