Grade 3
  1. Number Sense and Numeration  1.1. Understanding Numbers  1.1.1. Reading and Writing Numbers up to 10,000  1.1.2. Place Value up to Thousands  1.1.3. Comparing and Ordering Numbers  1.1.4. Rounding Numbers to the Nearest Ten and Hundred  1.1.5. Skip Counting by 2s, 5s, 10s, and 100s up to 1,000  1.2. Operations with Whole Numbers  1.2.1. Addition and Subtraction up to 1,000  1.2.2. Multiplication Facts (up to 10 x 10)  1.2.3. Division Facts (up to 100)  1.2.4. Multiplication as Repeated Addition  1.2.5. Division as Equal Sharing  1.2.6. Word Problems with Addition, Subtraction, Multiplication, and Division  1.3. Estimation  1.3.1. Estimating Sums and Differences  1.3.2. Estimating Products and Quotients  1.4. Understanding Even and Odd Numbers
  2. Fractions and Decimals  2.1. Understanding Fractions  2.1.1. Identifying and Representing Fractions  2.1.2. Fractions of a Whole and Part of a Set  2.1.3. Comparing and Ordering Fractions with Like Denominators  2.1.4. Equivalent Fractions  2.1.5. Simple Fraction Word Problems  2.2. Introduction to Decimals  2.2.1. Tenths and Hundredths as Decimals  2.2.2. Relationship between Fractions and Decimals
  3. Measurement  3.1. Length  3.1.1. Measuring in Centimeters and Meters  3.1.2. Comparing and Ordering Lengths  3.1.3. Estimating Lengths  3.1.4. Converting Between Centimeters and Meters  3.2. Mass  3.2.1. Measuring in Grams and Kilograms  3.2.2. Estimating and Comparing Mass  3.3. Capacity  3.3.1. Measuring in Milliliters and Liters  3.3.2. Estimating and Comparing Capacity  3.4. Time  3.4.1. Telling Time to the Nearest Minute  3.4.2. Calculating Elapsed Time  3.4.3. Using a Calendar  3.4.4. Understanding A.M. and P.M.  3.5. Area and Perimeter  3.5.1. Calculating Perimeter of Simple Shapes  3.5.2. Estimating and Measuring Area of Shapes  3.5.3. Finding Area by Counting Squares
  4. Geometry  4.1. Properties of Shapes  4.1.1. Identifying 2D Shapes (Triangles, Quadrilaterals, Circles, etc.)  4.1.2. Identifying 3D Shapes (Cubes, Spheres, Cylinders, etc.)  4.1.3. Describing Attributes of 2D and 3D Shapes  4.1.4. Recognizing Parallel and Perpendicular Lines  4.2. Symmetry and Transformations  4.2.1. Recognizing Lines of Symmetry  4.2.2. Identifying Flips, Slides, and Turns  4.3. Angles  4.3.1. Understanding Right Angles  4.3.2. Comparing Angles (Acute, Right, Obtuse)
  5. Data Management and Probability  5.1. Data Collection and Organization  5.1.1. Collecting Data using Surveys and Experiments  5.1.2. Organizing Data using Tally Charts and Tables  5.2.1. Creating and Interpreting Pictographs  5.2.2. Creating and Interpreting Bar Graphs  5.2.3. Reading Simple Line Graphs  5.3. Probability  5.3.1. Understanding Basic Probability Terms (Certain, Possible, Impossible)  5.3.2. Predicting Outcomes  5.3.3. Simple Probability Experiments
  6. Patterns and Algebra  6.1. Patterns  6.1.1. Identifying and Extending Numeric Patterns  6.1.2. Identifying and Extending Shape Patterns  6.1.3. Creating Patterns Using Rules  6.2. Introduction to Algebra  6.2.1. Understanding Variables as Unknowns  6.2.2. Solving Simple Addition and Subtraction Equations  6.2.3. Using Patterns to Solve Problems
  7. Problem-Solving Skills  7.1. Strategies for Problem-Solving  7.1.1. Using Pictures or Diagrams  7.1.2. Identifying Patterns in Problems  7.1.3. Making Organized Lists  7.1.4. Guessing and Checking  7.1.5. Using Logical Reasoning  7.1.6. Breaking Down Problems into Steps

Grade 3 → Number Sense and Numeration ↓


Operations with Whole Numbers


In mathematics, operations with whole numbers involve several basic mathematical operations such as addition, subtraction, multiplication, and division. These operations are important in understanding and developing number sense and numeracy skills. This guide will help you understand these operations through explanations, examples, and visualizations.

Add

Addition is the process of combining two or more numbers to find the total or sum. Here, the numbers that are added together are called addends, and the result is called the sum.

Example

Consider the numbers 5 and 3

5 + 3 = 8

In this example, 5 and 3 are the sum, and 8 is the addition.

5 3 , 8

Let's look at another example:

Example

What is the sum of 12 and 15?

12 + 15 = 27

Subtraction

Subtraction is to subtract or remove one quantity from another. In subtraction, the number we subtract is called the subtractee, and the number we subtract from is called the subtracted. The result is called the difference.

Example

Subtract 4 from 10

10 - 4 = 6

Here, 10 is the subtraction, 4 is the subtraction, and 6 is the difference.

10 4 , 6

Another example for better clarity:

Example

Find the difference between 20 and 8

20 - 8 = 12

Multiplication

In multiplication, the product is found by combining like groups. In multiplication, the numbers being multiplied are called factors, and the result is called the product.

Example

Multiply 6 and 4

6 × 4 = 24

Here, 6 and 4 are the factors, and 24 is the product.

6 4 , 24

See this other example:

Example

What is the product of 7 and 5?

7 × 5 = 35

Division

Division means counting how many times one number is contained in another number. The number to be divided is the dividend, the number we divide by is the divisor, and the result is the quotient.

Example

Divide 20 by 5

20 ÷ 5 = 4

Here 20 is the dividend, 5 is the divisor, and 4 is the quotient.

20 5 , 4

Another partitioning example:

Example

How many times 3 will appear in 18?

18 ÷ 3 = 6

Summary of operations

Let us summarize the operations with whole numbers with some important points:

  • Addition: Additives are combined to form a yoga.
  • Subtraction: The subtraction is subtracted from the subtracted part to find the difference.
  • Multiplication: Factors are multiplied to get the product.
  • Quotient: To find the quotient, the dividend is divided by the divisor.

Understanding these basic operations with whole numbers lays the foundation for more complex arithmetic and mathematical concepts. Practice these operations regularly through examples, exercises, and mental calculations to strengthen your numerical knowledge.

Each of these operations plays a vital role in various real-life situations such as shopping, cooking, construction and much more. Mastering these basic concepts is essential for efficiently solving day-to-day calculations and mathematical problems.


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Operations with Whole Numbers

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