Operations in Math

In mathematics, operations are the basic calculations that we use to solve problems and work with numbers. The four basic operations are addition, subtraction, multiplication, and division.

Addition

Addition is the process of combining two or more numbers to find their total. The symbol for addition is "+". For example, 3 + 4 = 7.

Subtraction

Subtraction is the process of taking one number away from another. The symbol for subtraction is "−". For example, 7 - 3 = 4.

Multiplication

Multiplication is the process of adding a number to itself a certain number of times. The symbol for multiplication is "×" or "*". For example, 3 × 4 = 12.

Division

Division is the process of dividing a number into equal parts. The symbol for division is "÷" or "/". For example, 12 ÷ 4 = 3.

Study Guide

Addition

Example: What is the sum of 5 and 8?

Answer: The sum of 5 and 8 is 13.

Subtraction

Example: What is the difference between 10 and 6?

Answer: The difference between 10 and 6 is 4.

Multiplication

Example: What is the product of 7 and 9?

Answer: The product of 7 and 9 is 63.

Division

Example: What is the result of dividing 20 by 5?

Answer: The result of dividing 20 by 5 is 4.

◂Math Worksheets and Study Guides Sixth Grade. Algebraic Equations

The resources above cover the following skills:

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

Grade 6 Curriculum Focal Points (NCTM)

Algebra: Writing, interpreting, and using mathematical expressions and equations

Students write mathematical expressions and equations that correspond to given situations, they evaluate expressions, and they use expressions and formulas to solve problems. They understand that variables represent numbers whose exact values are not yet specified, and they use variables appropriately. Students understand that expressions in different forms can be equivalent, and they can rewrite an expression to represent a quantity in a different way (e.g., to make it more compact or to feature different information). Students know that the solutions of an equation are the values of the variables that make the equation true. They solve simple one-step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation. They construct and analyze tables (e.g., to show quantities that are in equivalent ratios), and they use equations to describe simple relationships (such as 3x = y) shown in a table.