In mathematics, numbers are used to quantify and measure objects and quantities. They are classified into different types such as natural numbers, whole numbers, integers, rational numbers, and irrational numbers.

Natural numbers are the counting numbers, which start from 1 and go up to infinity. They are represented as N = {1, 2, 3, 4, ...}.

Whole numbers include all the natural numbers along with the number 0. They are represented as W = {0, 1, 2, 3, 4, ...}.

Integers include all the whole numbers along with their negative counterparts and zero. They are represented as Z = {..., -3, -2, -1, 0, 1, 2, 3, ...}.

Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. They can be represented as a/b, where a and b are integers and b ≠ 0.

Irrational numbers are numbers that cannot be expressed as a fraction of two integers. They are non-repeating and non-terminating decimals. Examples include √2, π, and e.

Basic operations with numbers include addition, subtraction, multiplication, and division. These operations follow specific rules and properties.

- Practice identifying different types of numbers.
- Understand the properties of each type of number.
- Practice performing operations with different types of numbers.
- Memorize common irrational numbers and their decimal approximations.

Study GuideAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations

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.