Distributive Property of Multiplication over Addition | Problems, Online Practice, Tests, Worksheets, Quizzes, Assignments | Class 5 | NCERT (CBSE and ICSE)

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Class 5
Multiplication and Division (Ways to Multiply and Divide)
Multiplication
Multiplication - Properties and Facts
Distributive Property of Multiplication over Addition

Class 5

1. Roman Numeral (up to 1000) *

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

1.7. Word Problems on Basic Arithmetic Using Roman Numerals

2. Time *

2.1. 24-Hour Clock Time

2.1.1. Understanding 24-Hour Clock Time

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

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

2.2. Use of 'AM' and 'PM'

2.3. Relate Year, Month, Week, Days, Hours, Minutes, and Seconds

2.4. Addition and Subtraction of Time

2.4.1. Addition of Time

2.4.2. Subtraction of Time

2.4.3. Word Problems on Time

3. Money *

3.1. Conversion of Money

3.1.1. Convert Rupees to Paise

3.1.2. Convert Paise to Rupees

3.2. Addition and Subtraction of Money

3.2.1. Addition of Money

3.2.2. Subtraction of Money

3.3. Multiplication and Division of Money

3.3.1. Multiplication of Money by a Whole Number

3.3.2. Division of Money by a Whole Number

3.4. Word problems on Money

3.4.1. Word Problems on Addition and Subtraction of Money

3.4.2. Word Problems on Multiplication and Division of Money by a Whole Number

3.4.3. Word Problems on Money Involving a Mixed Operations on Money

4. Geometry *

4.1. Understand the Basic Terms in Geometry (Point, Line, line segment, ray, and Plane)

4.2. Types of Lines

4.2.1. Parallel Lines

4.2.2. Perpendicular Lines

4.2.3. Intersecting Lines

4.2.4. Identifying the Type of Line

4.3. Set Squares

4.4. Collinear and Non-Collinear Points

4.5. Triangles

4.5.1. Introduction to Triangles

4.5.2. Various Types of Triangles by Considering the Lengths of their Sides

4.5.3. Various Types of Triangles by Considering their Angles

4.5.4. The Possibility of Forming a Triangle with Sides of Given Lengths

4.5.5. Angle Sum Property of a Triangle

4.6. Circle

4.6.1. Terms Related to a Circle

4.6.2. Relationship Between Radius and Diameter of a Circle

4.6.3. Interior and Exterior of a Circle

5. Measurement *

5.1. Measurement of Length

5.1.1. Conversion of Metric Units of Length

5.1.1.1. Conversion from Higher to Lower Units of Length

5.1.1.2. Conversion from Lower to Higher Units of Length

5.1.2. Addition and Subtraction of Lengths

5.1.2.1. Addition of Lengths

5.1.2.1.1. Addition of Lengths Given in Meters and Centimeters

5.1.2.1.2. Addition of Lengths Given in Kilometers and Meters

5.1.2.2. Subtraction of Lengths

5.1.2.2.1. Subtraction of Lengths Given in Meters and Centimeters

5.1.2.2.2. Subtraction of Lengths Given in Kilometers and Meters

5.1.3. Multiplication and Division of Lengths Measure

5.1.3.1. Multiplication of Lengths

5.1.3.2. Division of Lengths

5.1.4. Word Problems on Length

5.1.4.1. Word Problems on Addition and Subtraction of Lengths

5.1.4.2. Word Problems on Multiplication and Division of Lengths

5.2. Measurement of Weight

5.2.1. Conversion of Metric Units of Weight

5.2.1.1. Conversion from Higher to Lower Units of Weight

5.2.1.2. Conversion from Lower to Higher Units of Weight

5.2.2. Addition and Subtraction of Weights

5.2.2.1. Addition of Weights

5.2.2.1.1. Addition of Weights in Grams and Milligrams

5.2.2.1.2. Addition of Weights in Kilograms and Grams

5.2.2.2. Subtraction of Weights

5.2.2.2.1. Subtraction of Weights in Grams and Milligrams

5.2.2.2.2. Subtraction of Weights in Kilograms and Grams

5.2.3. Multiplication and Division of Weights

5.2.3.2. Division of Weights

5.2.4. Word Problems on Weight

5.2.4.1. Word Problems on Addition and Subtraction of Weights

5.2.4.2. Word Problems on Multiplication and Division of Weights

5.3. Measurement of Capacity

5.3.1. Conversion of Metric Units of Capacity

5.3.1.1. Conversion from Higher to Lower Units of Capacity

5.3.1.2. Conversion from Lower to Higher Units of Capacity

5.3.2. Addition and Subtraction of Capacity

5.3.2.1. Addition of Capacity in Liters and Milliliters

5.3.2.2. Subtraction of Capacity in Liters and Milliliters

5.3.3. Multiplication and Division of Capacity

5.3.3.1. Multiplication of Capacity

5.3.3.2. Division of Capacity

5.3.4. Word Problems on Capacity

5.3.4.1. Word Problems on Addition and Subtraction of Capacity

5.3.4.2. Word Problems on Multiplication and Division of Capacity

6. Large Numbers (The Fish Tale)

6.1. Representation of Large Numbers

6.1.1. Write Large Numbers by Separating the Periods

6.1.1.1. Write Large Numbers by Separating the Periods (Indian Number System)

6.1.1.2. Write Large Numbers by Separating the Periods (International Number System)

6.1.2. Write Numerals as Number Names

6.1.2.1. Write Numerals as Number Names (Indian Number System)

6.1.2.2. Write Numerals as Number Names (International Number System)

6.1.3. Write Number Names as Numerals

6.1.3.1. Write Number Names as Numerals (Indian Number System)

6.1.3.2. Write Number Names as Numerals (International Number System)

6.1.4. Relation Between Different Periods

6.1.4.1. Relation Between Different Periods (Indian Number System)

6.1.4.2. Relation Between Different Periods (International Number System)

6.1.5. Numbers in Expanded Form

6.2. Successor and Predecessor

6.2.1. Successor of a Number

6.2.2. Predecessor of a Number

6.3. n Digit Numbers

6.4. Place of a Digit

6.5. Compare Large Numbers

6.6. Operations on Large Numbers

6.6.1. Addition of Large Numbers

6.6.2. Subtraction of Large Numbers

6.6.3. Multiplication of Large numbers

6.6.4. Division of Large Numbers

6.6.5. Word Problem on Operations on Large Numbers

6.6.5.1. Word Problem on Addition of Large Numbers

6.6.5.2. Word Problem on Subtraction of Large Numbers

6.6.5.3. Word Problem on Multiplication of Large Numbers

6.6.5.4. Word Problem on Division of Large Numbers

7. Shapes and Angles

7.1. Introduction to Angles

7.2. Interior And Exterior Of An Angle

7.3. Finding the Number of Angles in the Given Figure

7.4. Types of an Angle

7.5. Measuring an Angle by a Protractor

7.6. Complementary and Supplementary Angles

8. Area on a Square Grid (How Many Squares?)

8.1. Area of a Figure on a Square Grid

8.2. Area of a Square/Rectangle on a Square Grid

8.3. Area of a Triangle on a Square Grid

8.4. Area of a Quadrilateral on a Square Grid

8.5. Area of Shapes Made up of Rectangles on square grid

9. Fractions (Parts and Wholes)

9.1. Like and Unlike Fractions

9.2. Unit Fraction

9.3. Proper, Improper and Mixed Fractions

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

9.3.2. Convert Improper Fractions to Mixed Fractions

9.3.3. Convert Mixed Fractions to Improper Fractions

9.4. Equivalent Fractions

9.5. Simplest Form of a Fraction

9.6. Compare Fractions

9.6.1. Compare Fractions with Like Denominators

9.6.2. Compare Fractions with Like Numerators

9.6.3. Compare Fractions with Unlike Denominators and Unlike Numerators

9.7. Addition and Subtraction of Fractions

9.7.1. Addition of Fractions

9.7.1.1. Addition of Like Fractions

9.7.1.2. Addition of Unlike Fractions

9.7.1.3. Addition of Mixed Fractions

9.7.2. Subtraction of Fractions

9.7.2.1. Subtraction of Like Fractions

9.7.2.2. Subtraction of Unlike Fractions

9.7.2.3. Subtraction of Mixed Fractions

9.7.3. Simplify Expressions Involving Addition and Subtraction

9.8. Multiplication and Division of Fractions

9.8.1. Multiplication of Fractions

9.8.1.1. Multiplication of a Fraction by a Whole Number

9.8.1.2. Multiplication of a Fraction by a Fraction

9.8.1.3. Use of 'OF'

9.8.2. Division of Fractions

9.8.2.1. Multiplicative Inverse or Reciprocal of a Fraction

9.8.2.2. Division of a Fraction by a Fraction

9.8.2.3. Division of a Fraction by a Whole Number

9.8.2.4. Division of a Whole Number by a Fraction

9.9. Word Problems on Fractions

9.9.1. Word Problems on Forming Fractions

9.9.2. Word Problems on Addition and Subtraction of Fractions

9.9.3. Word Problems on Multiplication and Division of Fractions

10. Symmetry (Does it Look the Same)

10.1. Introduction to Symmetry

10.2. Identifying Mirror Halves

10.3. Symmetry Around Us

10.4. Symmetry in Geometric Figures

10.5. Symmetry in Alphabets

10.6. Symmetry in Numerals

11. Factors and Multiples (Be My Multiple,I'llbe Your Factor)

11.1. Factors and Multiples of a Number

11.1.1. Finding Factors of a Number

11.1.2. Finding Multiples of a Number

11.1.3. Word Problems on Factors and Multiples

11.1.4. Properties of Factors and Multiples

11.1.5. Types of Numbers

11.1.5.1. Odd and Even Numbers

11.1.5.1.1. Even numbers

11.1.5.1.2. Odd numbers

11.1.5.1.3. Properties of Odd and Even numbers

11.1.5.2. Prime and Composite Numbers

11.1.5.2.1. Definition

11.1.5.2.2. Composite Numbers

11.1.5.2.3. Prime Numbers

11.1.5.2.4. Properties of Composite and Prime

11.1.5.3. Twin Primes

11.1.5.4. Co-Primes

11.2. Tests of Divisibility

11.2.1. Test Divisibility by 2

11.2.2. Test Divisibility by 3

11.2.3. Test Divisibility by 4

11.2.4. Test Divisibility by 5

11.2.5. Test Divisibility by 6

11.2.6. Test Divisibility by 7

11.2.7. Test Divisibility by 8

11.2.8. Test Divisibility by 9

11.2.9. Test Divisibility by 10

11.2.10. Test Divisibility by 11

11.3. Prime Factors of a Number

11.3.1. By Hit and Trial Method

11.3.2. By Factor Tree Method

11.3.3. By Prime Factorization

11.4. HCF and LCM

11.4.1. HCF (Highest Common Factor)

11.4.2. LCM (Lowest Common Multiple)

11.4.3. Properties of LCM and HCF

11.4.4. Word Problems on HCF and LCM

12. Pattern (Can You See the Pattern?)

12.1. Turns and Patterns

12.2. Magic Square

12.3. Number Patterns

13. Mapping Your Way

13.1. Directions

13.2. Reading Maps

13.2.2. Distances on Map

14. Three Dimentional Geometry (Boxes and Sketches)

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

14.2. Solid Shapes Around Us

14.3. Vertices, Edges and Faces of Solid Objects

14.4. Net of a 3-D Shape

15. Decimal (Tenths and Hundredths)

15.1. Reading a Decimal Number

15.2. Place Value Chart

15.3. Pictorial Representation of a Decimal Number

15.4. Expanded Form of Decimal Numbers

15.5. Like and Unlike Decimals

15.6. Comparing Decimals

15.7. Ordering Decimals

15.8. Relate Decimals and Fractions

15.8.1. Convert Decimals to Fractions

15.8.1.1. Convert Decimals to Proper Fractions

15.8.1.2. Convert Decimals to Improper Fractions

15.8.1.3. Convert Decimals to Mixed Fractions

15.8.2. Convert Fractions to Decimals

15.8.2.1. Convert Fractions with Denominators as Powers of 10 to Decimals

15.8.2.2. Convert Any Fractions to Decimals

15.9. Operations on Decimals

15.9.1. Addition and Subtraction of Decimals

15.9.1.1. Addition of Decimals

15.9.1.2. Subtraction of Decimals

15.9.1.3. Mixed Operations on Decimals: Addition and Subtraction

15.9.1.4. Word problems on Addition and Subtraction of Decimals

15.10. Multiplication and Division of Decimals

15.10.1. Multiplication of Decimals

15.10.1.1. Multiplying a Decimal by 10, 100, 1000 etc

15.10.1.2. Multiplying a Decimal by a Whole Number

15.10.1.3. Multiplication of Two/Three Decimals

15.10.2. Division of Decimals

15.10.2.1. Division of a Decimal by 10, 100, 1000 etc

15.10.2.2. Division of a Decimal by a Multiple of 10, 100, 1000 etc

15.10.2.3. Division of a Decimal by a Whole Number

15.10.2.4. Division of a Decimal by a Decimal

15.10.2.5. Division of a Whole Number by a Decimal

15.10.3. Word Problems on Multiplication and Division of Decimals

15.10.4. Word problems on Mixed Operations on Decimals

16. Area and its Boundary

16.1. Understanding the Concept of Perimeter

16.2. Perimeter of a Triangle

16.3. Perimeter of Polygons

16.4. Area and Perimeter of a Square

16.5. Area and Perimeter of a Rectangle

16.6. Rectangles With Same Area and Different Perimeter

17. Data Handling (Smart Charts)

17.1. Tally Marks

17.1.1. Collect Data Using Tally Marks

17.2. Bar Graphs

17.2.1. Drawing Bar Graphs

17.2.2. Interpreting Bar Graphs

17.3. Tabular Representation of Data

17.4. Pie Charts

18. Multiplication and Division (Ways to Multiply and Divide)

18.1. Multiplication

18.1.1. Multiplication - Properties and Facts

18.1.1.1. Order Property of Multiplication

18.1.1.2. Grouping Property of Multiplication

18.1.1.3. Multiplicative Property of One

18.1.1.4. Multiplicative Property of Zero

18.1.1.5. Distributive Property of Multiplication over Addition

18.1.1.6. Identify the Property of Multiplication

18.1.2. Multiplication by Multiples of 10

18.1.2.1. Multiplication by 10, 100, and 1000

18.1.2.2. Multiplication by a Multiple of 10, 100, and 1000

18.1.2.3. Mixed Problems on Multiplication by Multiples of 10

18.1.3. Multiplication by 2-Digit Numbers

18.1.3.1. Multiplication: 2-Digit by 2-Digit

18.1.3.2. Multiplication: 3-Digit by 2-Digit

18.1.4. Multiplication by 3-Digit Numbers

18.1.4.1. Multiplication: 3-Digit by 3-Digit

18.1.4.2. Multiplication: 4-Digit by 3-Digit

18.1.5. Word Problems on Multiplication

18.2. Division

18.2.1. Divider, Quotient, Dividend, and Remainder

18.2.2. Divide by 10, 100, 1000 etc

18.2.3. Divide by Multiples of 10, 100, 1000 etc

18.2.4. Long Division

18.2.4.1. Divide a number by a 2-digit number (no remainder)

18.2.4.2. Divide a number by a 3-digit number (no remainder)

18.2.4.3. Divide a number by a 2-digit number (with remainder)

18.2.4.4. Divide a number by a 3-digit number (with remainder)

18.2.5. Division - Properties and Facts

18.2.5.1. Division by One

18.2.5.2. Division by the Number Itself

18.2.5.3. Division by Zero

18.2.5.4. Dividing Zero by a Number

18.2.6. Word Problems on Division

19. Volume (How Big? How Heavy?)

19.1. Volume of Cuboid

19.2. Volume of Cube

19.3. Word Problems on Volume of Cube and Cuboid

Class 5 NCERT (CBSE and ICSE) Distributive Property of Multiplication over Addition

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