Simplification: Numerical expressions without brackets (DMAS) | Problems, Online Practice, Tests, Worksheets, Quizzes, Assignments | Class 5 | NCERT (CBSE and ICSE)

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Class 5
Mixed operations
Simplification: Numerical expressions without brackets (DMAS)

Class 5

1. Large numbers

1.1. Representation of large numbers

1.1.2. Write large numbers by separating the periods

1.1.2.1. Write large numbers by separating the periods (Indian number system)

1.1.2.2. Write large numbers by separating the periods (International number system)

1.1.3. Large numbers: Write Numerals as Number Names

1.1.3.1. Large numbers: Write Numerals as Number Names (Indian number system)

1.1.3.2. Large numbers: Write Numerals as Number Names (International number system)

1.1.4. Large numbers: Write Number Names as Numerals

1.1.4.2. Large numbers: Write Number Names as Numerals (International number system)

1.2. Numbers in Expanded Form

1.2.1. Convert Numbers to Expanded Form

1.2.2. Convert Numbers from Expanded Form

1.3. Successor and Predecessor

1.3.1. Successor of a Number

1.3.2. Predecessor of a Number

1.4. Place value system

1.5. Form large numbers with given conditions

1.6. Compare large numbers

1.7. Whole and natural numbers

2. Roman Numerals

2.1. Basic Symbols to Write Roman Numerals

2.2. Basic Rules to Form Roman Numerals

2.3. Working with Roman Numerals

2.3.1. Write Roman Numerals for Hindu-Arabic Numerals

2.3.2. Write Hindu-Arabic Numerals for Roman Numerals

2.3.3. Identify Meaningless Roman Numerals

2.3.4. Compare Roman Numerals

2.3.5. Basic Arithmetic Using Roman Numerals

2.3.6. Appreciating Roman Numerals

2.3.7. Word Problems on Basic Arithmetic Using Roman Numerals

3. Addition and Subtraction

3.1. Addition

3.1.1. Addendum and Sum

3.1.2. Add numbers

3.1.2.1. Add two numbers

3.1.2.2. Add three numbers

3.1.2.3. Add four numbers

3.1.2.4. Add five numbers

3.1.2.5. Add numbers given as number names

3.1.3. Addition: Fill in missing digits

3.1.3.1. Fill in the missing digits while adding two numbers

3.1.3.2. Fill in the missing digits while adding three numbers

3.1.3.3. Fill in the missing digits while adding four numbers

3.1.3.4. Fill in the missing digits while adding five numbers

3.1.4. Properties of Addition

3.1.4.1. Order Property (Commutative Property) of Addition

3.1.4.2. Grouping Property (Associative Property) of Addition

3.1.4.3. Additive Property of Zero

3.1.5. Word problems on addition

3.1.5.1. Word problems on addition of two numbers

3.1.5.2. Word problems on addition of many numbers

3.2. Subtraction

3.2.1. Minuend, Subtrahend and Difference

3.2.2. Subtract numbers

3.2.3. Subtraction: Fill in the missing digits

3.2.4. Subtract numbers: Find the missing number in a subtraction sentence

3.2.4.1. Subtract numbers: Find the subtrahend

3.2.4.2. Subtract numbers: Find the minuend

3.2.5. Word Problems on Subtraction

3.2.5.1. Word Problems on Subtraction of Two Numbers

3.2.5.2. Word Problems on Subtraction Involving Many Numbers

3.3. Relate addition and subtraction

3.3.1. Find the missing addend

3.3.2. Find the missing subtrahend or minuend

3.4. Word Problems on Addition and Subtraction

4. Multiplication and division

4.1. Multiplication

4.1.2. Multiply by 10, 100, 1000 etc

4.1.3. Multiply two numbers

4.1.3.2. Multiply a number by a three digit number

4.1.3.3. Multiply a number by a four digit number

4.1.5. Properties of multiplication

4.1.6. Word problems on multiplication

4.2. Division

4.2.1. Divider, quotient, dividend, and remainder

4.2.2. Divide by 10, 100, 1000 etc

4.2.3. Divide two numbers

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

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

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

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

4.2.5. Properties of division

4.2.6. Word problems on division

4.3. Relate multiplication and division

4.3.1. Relate multiplication and division: Find the missing factor in multiplication sentences

4.4. Word problems mixing multiplication and division

5. Mixed operations

5.1. Simplification: Numerical expressions without brackets (DMAS)

5.2. Simplification: Numerical expressions with brackets (BODMAS)

5.3. Mixed operations: Word Problems

6. Factors and multiples

6.1. Factors and multiples: Understand the meaning

6.2. Properties of factors

6.4. Even and odd numbers

6.5. Test of divisibility

6.6. Prime and composite numbers

6.7. Prime factorization

6.8. LCM and HCF (GCD)

6.8.1. Least Common Multiple (LCM)

6.8.2. Highest common factor (HCF) or Greatest common divisor (GCD)

6.8.3. Appreciate the concept of LCM and HCF more

6.8.4. Word problems on LCM and HCF/GCD

7. Fractions

7.1. Fractions: Understand the meaning

7.2. Multiplicative inverse

7.4. Proper, improper and mixed fractions

7.4.1. Understand the meaning of proper, improper and mixed fractions

7.4.2. Convert improper fractions to mixed fractions

7.4.3. Convert mixed fractions to improper fractions

7.5. Equivalent fractions

7.6. Simplest form of a fraction

7.7. Compare fractions

7.7.1. Compare like fractions

7.7.2. Compare unlike fractions

7.8. Addition and subtraction of fractions

7.8.1. Addition of fractions

7.8.2. Subtraction of fractions

7.9. Multiplication and division of fractions

7.9.1. Multiplication of fractions

7.9.2. Division of fractions

7.9.3. Mixed problems on multiplication and division of fractions

7.10. Word problems on fractions

8. Decimals

8.2. Place value chart

8.3. Like and unlike decimals

8.4. Equivalent decimals

8.5. Comparing decimals

8.6. Addition and subtraction of decimals

8.6.1. Addition of decimals

8.6.2. Subtraction of decimals

8.6.3. Mixed operations on decimals: Addition and subtraction

8.6.4. Word problems on addition and subtraction of decimals

8.7. Relate decimals to fractions

8.7.1. Convert decimals to fractions

8.7.1.1. Convert decimals to improper fractions

8.7.2. Convert fractions to decimals

8.7.2.1. Convert improper fractions to decimals

8.7.2.2. Convert mixed fractions to decimals

8.8. Multiplication and division of decimals

8.8.1. Multiplication of decimals

8.8.1.1. Multiplying a decimal by 10, 100, 1000 etc

8.8.1.2. Multiplying a decimal by a whole number

8.8.1.3. Multiplication of two decimals

8.8.1.4. Word problems on multiplication of decimals

8.8.2. Division of decimals

8.8.2.1. Division of a decimal by 10, 100, 1000 etc

8.8.2.2. Divide a whole number by a decimal

8.8.2.3. Divide a decimal by a whole number

8.8.2.4. Divide a decimal with another decimal

8.8.2.5. Word problems on division of decimals

8.9. Mixed operations with decimals

8.10. Word problems on mixed operations with decimals

9. Ratio and proportion

9.2. Proportion

10. Rounding

10.1. Rounding off to the nearest ten

10.2. Rounding off to the nearest hundred

10.4. Rounding off large numbers

10.5. Rounding off the decimals

12. Percentage

12.1. Understanding Percentages

12.2. Convert fractions to percentages

12.3. Convert fractions to percentage fractions

12.4. Convert the fraction representation of a percentage to the decimal form

12.5. Numerical operations involving percentages

12.6. Word problems on percentages

13. Unitary Method

14. Measurement

14.1. Measurement of Length

14.1.1. Metric Units of Length

14.1.3. Addition of Lengths

14.1.3.1. Addition of Lengths Given in Metres and Centimeters

14.1.5. Multiplying lengths by a whole number

14.1.6. Word Problems on Length

14.1.6.1. Word Problems Involving Addition of Length Measurements

14.1.6.2. Word Problems Involving Subtraction of Length Measurements

14.1.6.3. Word Problems Involving Both Addition and Subtraction of Length Measurements

14.1.6.5. Word Problems Involving Division of Length Measurements

14.1.6.6. Word Problems Involving Mixed Operations on Length Measurements

14.2. Measurement of Weight

14.2.3. Compare and Convert Metric Units of Weight

14.2.3.2. Convert lower units of weight to higher units

14.2.6. Word Problems on Weight

14.2.6.2. Word Problems Involving Subtraction of Weights

14.2.6.4. Word problems involving division of weights

14.2.6.5. Word Problems Involving Mixed Operations on Weights

14.3. Measurement of Capacity/Volume

14.3.1. Metric Units of Capacity/Volume

14.3.3. Compare and Convert Metric Units of Capacity/Volume

14.3.3.1. Convert higher units of capacity/volume to lower units

14.3.5. Word Problems on Capacity/Volume

14.3.5.1. Word Problems Involving Addition of Capacities/Volumes

14.3.5.3. Word Problems Involving Both Addition and Subtraction of Capacities/Volumes

14.3.5.4. Word Problems Involving Mixed Operations on Capacities/Volumes

15. Time

15.1. 24-hour Clock Time

15.3. Convert from One Unit of Time to Other

15.3.3. Convert Hours to Seconds

15.3.6. Convert Minutes to Seconds

15.4. Addition and subtraction of time

15.5. Dates

15.5.1. Addition and subtraction of dates

15.6. Word problems on time

16. Money

16.1. Convert to Paise

16.1.1. Convert Rupees to Paise

16.1.2. Convert 'Rupees and Paise' to Paise

16.1.3. Convert Amount in Figures to Paise

16.7. Word problems on money

16.7.3. Word Problems on Money Involving Both Addition and Subtraction

16.7.5. Word Problems on Money Involving a Mix of Addition, Subtraction, and Multiplication by a Whole Number

16.7.6. Word problems on money involving division

16.8. Money transactions

16.8.1. Understand cost price, selling price, profit and loss

16.8.2. Word problems on simple money transactions

16.8.3. Calculate profit or loss

16.8.4. Word problems on cost price, selling price, discounts, profit and loss

17. Geometry

17.1. Plane, Point, Line Segment, Line and Ray

17.1.1. Definition of a plane

17.1.2. Definition of a Point

17.1.3. Definition of a Line Segment

17.1.4. Definition of a Line

17.1.5. Definition of a Ray

17.1.6. More on place, point, line segment, line and ray

17.2. Angles

17.2.1. The concept of angles

17.2.2. Naming an angle

17.2.3. Comparison of angles

17.2.4. Measuring angles

17.2.5. Classification of angles

17.2.6. Pairs of related angles

17.2.8. More about angles

17.3. Parallel and perpendicular lines

17.3.1. Intersecting lines

17.3.2. Parallel lines

17.3.3. Perpendicular lines

17.3.4. Set squares

17.4. Shapes and Curves

17.5. Triangles

17.5.2. The concept of a triangle

17.5.3. Classify triangles according to sides

17.5.4. Classify triangles according to angles

17.5.5. Angles of a triangle

17.5.6. Sides of a triangle

17.6. Circles

17.6.2. Center of a circle

17.6.3. Radius and diameter of a circle

17.6.4. Circumference of a circle

17.6.5. The interior and the exterior of a circle

17.6.6. The concept of a semi-circle

17.6.7. Chords of a circle

17.6.8. Arcs in a circle

17.7. Area and perimeter

17.7.1. Understand the concept of perimeter

17.7.2. Perimeter of a triangle

17.7.3. Perimeter of a rectangle and a square

17.7.4. Perimeter of rectilinear figures

17.7.5. Perimeter of polygons

17.7.6. Understand the concept of area

17.7.7. Area of a square and a rectangle

17.7.8. Area of rectilinear figures and quadrilaterals

17.7.9. Calculate circumference of circles

17.7.10. Word problems on area and perimeter

17.7.10.1. Word problems on area and perimeter of squares and rectangles

17.8. Solids

17.8.2. Cuboid

17.8.3. Cube

18. Data Handling

18.2. Pictographs

18.2.3. Interpreting Pictographs

18.3. Tables

18.4. Tally Marks

18.4.1. Collect Data Using Tally Marks

18.5. Bar Graphs

18.5.1. Interpreting Bar Graphs

20. Logical Reasoning

Class 5 NCERT (CBSE and ICSE) Simplification: Numerical expressions without brackets (DMAS)

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