Operations in Mathematics

Operations in mathematics refer to the basic arithmetic functions of addition, subtraction, multiplication, and division. These operations are fundamental in solving mathematical problems and are used extensively in various mathematical concepts and applications.

1. Addition

Addition is the process of combining two or more numbers to find their total sum. The symbol used for addition is "+". For example:

5 + 3 = 8

12 + 7 = 19

2. Subtraction

Subtraction is the process of taking one number away from another. The symbol used for subtraction is "-". For example:

10 - 4 = 6

15 - 8 = 7

3. Multiplication

Multiplication is the process of repeated addition. The symbol used for multiplication is "x" or "*". For example:

3 x 4 = 12

5 * 6 = 30

4. Division

Division is the process of splitting a number into equal parts. The symbol used for division is "÷" or "/". For example:

12 ÷ 3 = 4

20 / 5 = 4

Study Guide

Here are some key points to remember when working with operations in mathematics:

Understand the meaning and use of each operation (addition, subtraction, multiplication, division).
Practice solving problems involving each operation to build fluency and confidence.
Learn the properties of operations, such as the commutative, associative, and distributive properties.
Explore real-world applications of operations to understand their practical significance.
Use calculators and other tools to check your work and verify solutions.

By mastering operations in mathematics, you will have a strong foundation for more advanced mathematical concepts and problem-solving skills.

◂Math Worksheets and Study Guides Seventh Grade. Decimal Operations

The resources above cover the following skills:

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Work flexibly with fractions, decimals, and percents to solve problems.

Develop meaning for integers and represent and compare quantities with them.

Understand meanings of operations and how they relate to one another.

Understand the meaning and effects of arithmetic operations with fractions, decimals, and integers.

Compute fluently and make reasonable estimates.

Select appropriate methods and tools for computing with fractions and decimals from among mental computation, estimation, calculators or computers, and paper and pencil, depending on the situation, and apply the selected methods.

Develop and analyze algorithms for computing with fractions, decimals, and integers and develop fluency in their use.

Grade 7 Curriculum Focal Points (NCTM)

Number and Operations and Algebra: Developing an understanding of operations on all rational numbers and solving linear equations

Students extend understandings of addition, subtraction, multiplication, and division, together with their properties, to all rational numbers, including negative integers. By applying properties of arithmetic and considering negative numbers in everyday contexts (e.g., situations of owing money or measuring elevations above and below sea level), students explain why the rules for adding, subtracting, multiplying, and dividing with negative numbers make sense. They use the arithmetic of rational numbers as they formulate and solve linear equations in one variable and use these equations to solve problems. Students make strategic choices of procedures to solve linear equations in one variable and implement them efficiently, understanding that when they use the properties of equality to express an equation in a new way, solutions that they obtain for the new equation also solve the original equation.