Operations in Math

In math, operations refer to the basic mathematical processes of addition, subtraction, multiplication, and division. These operations are used to solve mathematical problems and perform calculations.

Addition

Addition is the process of combining two or more numbers to find their total sum. It is denoted by the plus symbol (+). For example, 3 + 4 = 7, where 3 and 4 are added to get the sum 7.

Subtraction

Subtraction is the process of taking one number away from another to find the difference. It is denoted by the minus symbol (-). For example, 9 - 5 = 4, where 5 is subtracted from 9 to get the difference 4.

Multiplication

Multiplication is the process of repeated addition or combining equal groups. It is denoted by the multiplication symbol (×). For example, 3 × 2 = 6, where 3 is multiplied by 2 to get the product 6.

Division

Division is the process of splitting a number into equal parts or finding out how many times one number is contained in another. It is denoted by the division symbol (÷). For example, 12 ÷ 3 = 4, where 12 is divided by 3 to get the quotient 4.

Study Guide for Operations

Addition and Subtraction

To practice addition and subtraction, students can use flashcards, play math games, or solve word problems. It is important for students to understand the concept of combining or taking away numbers, as well as the relationship between addition and subtraction (e.g., 8 - 3 = 5, and 5 + 3 = 8).

Multiplication and Division

For multiplication and division practice, students can use multiplication tables, arrays, or solve real-life problems involving equal groups. It is essential for students to grasp the concept of repeated addition for multiplication and splitting into equal groups for division. Understanding the relationship between multiplication and division is also crucial (e.g., 4 × 3 = 12, and 12 ÷ 3 = 4).

Problem-Solving

Students should practice solving word problems that involve all four operations. These problems help students apply their understanding of addition, subtraction, multiplication, and division in various contexts, developing their problem-solving skills.

◂Math Worksheets and Study Guides Third Grade. 3 Digit Addition

The resources above cover the following skills:

Number and Operations (NCTM)

Compute fluently and make reasonable estimates.

Develop fluency in adding, subtracting, multiplying, and dividing whole numbers.

Select appropriate methods and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil according to the context and nature of the computation and use the selected method or tools.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Connections to the Grade 3 Focal Points (NCTM)

Number and Operations: Building on their work in grade 2, students extend their understanding of place value to numbers up to 10,000 in various contexts. Students also apply this understanding to the task of representing numbers in different equivalent forms (e.g., expanded notation). They develop their understanding of numbers by building their facility with mental computation (addition and subtraction in special cases, such as 2,500 + 6,000 and 9,000 - 5,000), by using computational estimation, and by performing paper-and-pencil computations.