Mixed Operations on Decimals: Addition and Subtraction | Problems, Online Practice, Tests, Worksheets, Quizzes, Assignments | Year 5 | New Zealand School Math

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Year 5
Decimals
Operations on Decimals
Addition and Subtraction of Decimals
Mixed Operations on Decimals: Addition and Subtraction

Year 5

1. Large Numbers

1.1. Representation of Large Numbers

1.1.1. Write Large Numbers by Separating the Periods

1.1.2. Write Numerals as Number Names

1.1.3. Write Number Names as Numerals

1.1.4. Relation Between Different Periods

1.1.5. Numbers in Expanded Form

1.2. Successor and Predecessor

1.2.1. Successor of a Number

1.2.2. Predecessor of a Number

1.3. Place of a Digit

1.4. Compare Large Numbers

1.5. n Digit Numbers

1.6. Operations on Large Numbers

1.6.1. Addition of Large Numbers

1.6.2. Subtraction of Large Numbers

1.6.3. Multiplication of Large numbers

1.6.4. Division of Large Numbers

1.6.5. Word Problem on Operations on Large Numbers

1.6.5.1. Word Problem on Addition of Large Numbers

1.6.5.2. Word Problem on Subtraction of Large Numbers

1.6.5.3. Word Problem on Multiplication of Large Numbers

1.6.5.4. Word Problem on Division of Large Numbers

2. Roman Numerals (up to 500)

2.1. Introduction to Roman Numerals

2.2. Write Roman Numerals for Natural Numbers

2.3. Write Natural Numbers for Roman Numerals

2.4. Meaningless Roman Numerals

2.5. Compare Roman Numerals

2.6. Operations on Roman Numerals

3. Simplification

3.1. Numerical Expressions Without Brackets (DMAS)

3.2. Numerical Expressions With Brackets (BODMAS)

4. Factors and Multiples

4.1. Factors and Multiples of a Number

4.1.1. Finding Factors of a Number

4.1.2. Finding Multiples of a Number

4.1.3. Word Problems on Factors and Multiples

4.1.4. Properties of Factors and Multiples

4.1.5. Types of Numbers

4.1.5.1. Odd and Even Numbers

4.1.5.1.1. Even numbers

4.1.5.1.2. Odd numbers

4.1.5.1.3. Properties of Odd and Even numbers

4.1.5.2. Prime and Composite Numbers

4.1.5.2.1. Definition

4.1.5.2.2. Composite Numbers

4.1.5.2.3. Prime Numbers

4.1.5.2.4. Properties of Composite and Prime

4.1.5.3. Twin Primes

4.1.5.4. Co-Primes

4.2. Tests of Divisibility

4.2.1. Test Divisibility by 2

4.2.2. Test Divisibility by 3

4.2.3. Test Divisibility by 4

4.2.4. Test Divisibility by 5

4.2.5. Test Divisibility by 6

4.2.6. Test Divisibility by 7

4.2.7. Test Divisibility by 8

4.2.8. Test Divisibility by 9

4.2.9. Test Divisibility by 10

4.2.10. Test Divisibility by 11

4.3. Prime Factors of a Number

4.3.1. By Hit and Trial Method

4.3.2. By Factor Tree Method

4.3.3. By Prime Factorization

4.4. HCF and LCM

4.4.1. HCF (Highest Common Factor)

4.4.2. LCM (Lowest Common Multiple)

4.4.3. Properties of LCM and HCF

4.4.4. Word Problems on HCF and LCM

5. Fractions

5.1. Like and Unlike Fractions

5.2. Unit Fraction

5.3. Proper, Improper and Mixed Fractions

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

5.3.2. Convert Improper Fractions to Mixed Fractions

5.3.3. Convert Mixed Fractions to Improper Fractions

5.4. Equivalent Fractions

5.5. Simplest Form of a Fraction

5.6. Compare Fractions

5.6.1. Compare Fractions with Like Denominators

5.6.2. Compare Fractions with Like Numerators

5.6.3. Compare Fractions with Unlike Denominators and Unlike Numerators

5.7. Addition and Subtraction of Fractions

5.7.1. Addition of Fractions

5.7.1.1. Addition of Like Fractions

5.7.1.2. Addition of Unlike Fractions

5.7.1.3. Addition of Mixed Fractions

5.7.2. Subtraction of Fractions

5.7.2.1. Subtraction of Like Fractions

5.7.2.2. Subtraction of Unlike Fractions

5.7.2.3. Subtraction of Mixed Fractions

5.7.3. Simplify Expressions Involving Addition and Subtraction

5.8. Multiplication and Division of Fractions

5.8.1. Multiplication of Fractions

5.8.1.1. Multiplication of a Fraction by a Whole Number

5.8.1.2. Multiplication of a Fraction by a Fraction

5.8.1.3. Use of 'OF'

5.8.2. Division of Fractions

5.8.2.1. Multiplicative Inverse or Reciprocal of a Fraction

5.8.2.2. Division of a Fraction by a Fraction

5.8.2.3. Division of a Fraction by a Whole Number

5.8.2.4. Division of a Whole Number by a Fraction

5.9. Word Problems on Fractions

5.9.1. Word Problems on Forming Fractions

5.9.2. Word Problems on Addition and Subtraction of Fractions

5.9.3. Word Problems on Multiplication of Fractions

5.9.4. Word Problems on Division of Fractions

6. Decimals

6.1. Reading a Decimal Number

6.2. Place Value Chart

6.3. Pictorial Representation of a Decimal Number

6.4. Expanded Form of Decimal Numbers

6.5. Like and Unlike Decimals

6.6. Comparing Decimals

6.7. Ordering Decimals

6.8. Relate Decimals and Fractions

6.8.1. Convert Decimals to Fractions

6.8.1.1. Convert Decimals to Proper Fractions

6.8.1.2. Convert Decimals to Improper Fractions

6.8.1.3. Convert Decimals to Mixed Fractions

6.8.2. Convert Fractions to Decimals

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

6.8.2.2. Convert Any Fractions to Decimals

6.9. Operations on Decimals

6.9.1. Addition and Subtraction of Decimals

6.9.1.1. Addition of Decimals

6.9.1.2. Subtraction of Decimals

6.9.1.3. Mixed Operations on Decimals: Addition and Subtraction

6.9.1.4. Word problems on Addition and Subtraction of Decimals

6.10. Multiplication and Division of Decimals

6.10.1. Multiplication of Decimals

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

6.10.1.2. Multiplying a Decimal by a Whole Number

6.10.1.3. Multiplication of Two/Three Decimals

6.10.1.4. Word Problems on Multiplication of Decimals

6.10.2. Division of Decimals

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

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

6.10.2.3. Division of a Decimal by a Whole Number

6.10.2.4. Division of a Decimal by a Decimal

6.10.2.5. Division of a Whole Number by a Decimal

6.10.2.6. Word Problems on Division of Decimals

7. Rounding Numbers

7.1. Rounding Off the Numbers

7.1.1. Rounding Off to the Nearest Ten

7.1.2. Rounding Off to the Nearest Hundred

7.1.3. Rounding Off to the Nearest Thousand

7.1.4. Rounding off to the Nearest Ten Thousand

7.1.5. Rounding Off to the Nearest Hundred Thousand

7.1.6. Rounding Off to the Nearest Million

7.2. Rounding Off the Decimals

7.2.1. Rounding Off to the Nearest One

7.2.2. Rounding Off to the Nearest Tenth

7.2.3. Rounding Off to the Nearest Hundredth

7.2.4. Rounding Off to the Nearest Thousandth

7.3. Estimating Sum

7.4. Estimating Difference

7.5. Estimating Products

8. Measurement

8.1. Measurement of Length

8.1.1. Conversion of Metric Units of Length

8.1.1.1. Conversion from Higher to Lower Units of Length

8.1.1.2. Conversion from Lower to Higher Units of Length

8.1.2. Addition and Subtraction of Lengths

8.1.2.1. Addition of Lengths

8.1.2.2. Subtraction of Lengths

8.1.3. Multiplication and Division of Lengths Measure

8.1.3.1. Multiplication of Lengths

8.1.3.2. Division of Lengths

8.1.4. Word Problems on Length

8.1.4.1. Word Problems on Addition and Subtraction of Lengths

8.1.4.2. Word Problems on Multiplication and Division of Lengths

8.2. Measurement of Weight

8.2.1. Conversion of Metric Units of Weight

8.2.1.1. Conversion from Higher to Lower Units of Weight

8.2.1.2. Conversion from Lower to Higher Units of Weight

8.2.2. Addition and Subtraction of Weights

8.2.2.1. Addition of Weights

8.2.2.2. Subtraction of Weights

8.2.3. Multiplication and Division of Weights

8.2.3.1. Multiplication of Weights

8.2.3.2. Division of Weights

8.2.4. Word Problems on Weight

8.2.4.1. Word Problems on Addition and Subtraction of Weights

8.2.4.2. Word Problems on Multiplication and Division of Weights

8.3. Measurement of Capacity

8.3.1. Conversion of Metric Units of Capacity

8.3.1.1. Conversion from Higher to Lower Units of Capacity

8.3.1.2. Conversion from Lower to Higher Units of Capacity

8.3.2. Addition and Subtraction of Capacity

8.3.2.1. Addition of Capacity in Liters and Milliliters

8.3.2.2. Subtraction of Capacity in Liters and Milliliters

8.3.3. Multiplication and Division of Capacity

8.3.3.1. Multiplication of Capacity

8.3.3.2. Division of Capacity

8.3.4. Word Problems on Capacity

8.3.4.1. Word Problems on Addition and Subtraction of Capacity

8.3.4.2. Word Problems on Multiplication and Division of Capacity

9. Average

10. Percentage

10.1. Convert a Fraction into Percentage

10.2. Convert a Percentage into Fraction

10.3. Convert Decimal into Percentage

10.4. Convert Percentage into Decimal

10.5. Percentage of a Quantity

10.6. Word Problems on Percentage

11. Time

11.1. 24-Hour Clock Time

11.1.1. Understanding 24-Hour Clock Time

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

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

11.2. Use of 'AM' and 'PM'

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

11.4. Addition and Subtraction of Time

11.4.1. Addition of Time

11.4.2. Subtraction of Time

11.4.3. Word Problems on Time

12. Money

12.1. Conversion of Money

12.2. Addition and Subtraction of Money

12.2.1. Addition of Money

12.2.2. Subtraction of Money

12.3. Multiplication and Division of Money

12.3.1. Multiplication of Money by a Whole Number

12.3.2. Division of Money by a Whole Number

12.4. Word problems on Money

12.4.1. Word Problems on Addition of Money

12.4.2. Word Problems on Subtraction of Money

12.4.3. Word Problems on Multiplication of Money

12.4.4. Word Problems on Division of Money

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

13. Geometry

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

13.2. Angles

13.2.1. Introduction to Angles

13.2.2. Interior And Exterior Of An Angle

13.2.3. Finding the Number of Angles in the Given Figure

13.2.4. Types of an Angle

13.2.5. Measuring an Angle by a Protractor

13.2.6. Complementary and Supplementary Angles

13.3. Types of Lines

13.3.1. Parallel Lines

13.3.2. Perpendicular Lines

13.3.3. Intersecting Lines

13.3.4. Identifying the Type of Line

13.4. Set Squares

13.5. Collinear and Non-Collinear Points

13.6. Triangles

13.6.1. Introduction to Triangles

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

13.6.3. Various Types of Triangles by Considering their Angles

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

13.6.5. Angle Sum Property of a Triangle

13.7. Circle

13.7.1. Terms Related to a Circle

13.7.2. Radius and Diameter of a Circle

13.7.3. Interior and Exterior of a Circle

13.7.4. Concentric Circles

14. Perimeter

14.1. Understanding the Concept of Perimeter

14.2. Perimeter of a Rectilinear Figure

14.3. Perimeter of a Triangle

14.4. Perimeter of a Rectangle

14.5. Perimeter of a Square

15. Area

15.1. Area of a Rectangle

15.2. Area of a Square

16. Volume

16.1. Volume of a Cuboid

16.2. Volume of a Cube

17. Data Handling

17.1. Pictographs

17.1.1. Introduction to Pictograph

17.1.2. Drawing Pictographs

17.1.3. Interpreting Pictographs

17.2. Bar Graphs

17.2.1. Drawing Bar Graphs

17.2.2. Interpreting Bar Graphs

17.3. Pie Charts

18. Exponents

18.1. Understanding powers of ten

18.2. Write powers of ten with exponents

18.3. Multiply a whole number by a power of ten

18.4. Multiply a decimal by a power of ten

18.5. Divide by a power of ten

18.6. Understanding exponents

18.7. Evaluate exponents

18.8. Find the missing exponents

19. Problem solving

19.1. Make the largest and smallest possible quotient

19.2. Word Problems

19.2.1. Write appropriate numerical expressions

19.2.2. Multi-step word problems

19.2.2.1. Simple multi-step problems

19.2.2.2. Multi-step word problems involving remainders

19.2.2.3. Multi-step word problems: identify reasonable answers

19.2.2.4. Miscellaneous problems

19.3. Use Venn diagrams to solve problems

20. Number sequences

20.1. Complete the number sequence

20.2. Compare patterns

20.3. Complete the number pattern

20.4. Number sequence: word problems

21. Coordinate plane

21.1. Definition of coordinate plane

21.2. Find the coordinates

21.3. Graph points on a coordinate plane

21.4. Complete the table and draw the graph

21.5. Analyze graphed relationships

21.6. Miscellaneous problems

22. Variable expressions

22.1. Write variable expressions

22.2. Evaluate variable expressions

22.3. Write variable expressions: word problems

22.4. Solve the equations

22.4.1. With whole numbers

22.4.2. With decimals

22.5. Questions on two-variables equations

22.6. Questions on graph

22.7. Graph a two-variable relationship

22.8. Write a two-variable equation

22.9. Write variable equations: word problems

23. Probability and statistics

23.1. Revisiting concepts

23.2. Find the missing numbers

23.2.1. Mode

23.2.2. Mean

23.2.3. Median

23.2.4. Range

23.3. Interpret charts and graphs

23.3.1. For mode

23.3.2. For mean

23.3.3. For median

23.4. Understanding probability

23.5. Predictions

23.6. Combinations

24. Symmetry and transformations

24.1. Line symmetry

24.2. Rotational symmetry

24.3. Reflection, rotation, and translation

24.4. Identify congruent and similar figures

25. Two-dimensional figures

25.1. Revisiting concepts

25.2. Types of polygons

25.3. Lines and its type

25.4. Various angles

25.5. Measure angles with a protractor

25.6. Properties of polygons

25.7. Venn diagrams

25.8. Parts of a circle

26. Three-dimensional figures

26.1. Revisiting concepts

26.2. Nets of three-dimensional figures

26.3. Three-dimensional figures viewed from different perspectives

27. Financial literacy

27.1. Identify types of taxes

27.2. Income and payroll taxes: understanding pay stubs

27.3. Income and payroll taxes: word problems

27.4. Sales and property taxes: word problems

27.5. Understand gross and net income

27.6. Calculate gross and net income

27.7. Identify advantages and disadvantages of payment methods

27.8. Evaluate payment methods

27.9. Reading financial records

27.10. Keeping financial records

27.11. Budget

Year 5 New Zealand School Math Mixed Operations on Decimals: Addition and Subtraction

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