In mathematics, the term "base" refers to the number of different digits or combination of digits that a system of counting uses to represent numbers. The most common base used in everyday mathematics is base 10, also known as the decimal system, which uses the digits 0 through 9. However, other bases such as base 2 (binary), base 8 (octal), and base 16 (hexadecimal) are also used in computer science and digital electronics.

The base 10 system uses 10 digits (0-9) to represent numbers. The place value of each digit in a number depends on its position within the number. For example, in the number 352, the digit 2 is in the ones place, the digit 5 is in the tens place, and the digit 3 is in the hundreds place.

Converting numbers from one base to another involves understanding the place value system and the relationship between different bases. For example, to convert a number from base 10 to base 2 (binary), you can use the process of division and remainders. Conversely, to convert a binary number to decimal, you can use the process of expanding the number using powers of 2.

- Understand the concept of place value and its importance in different number bases.
- Practice converting numbers between different bases, such as base 10 to base 2, base 10 to base 8, and base 10 to base 16.
- Learn the properties and uses of different number bases, particularly base 2 (binary) and base 16 (hexadecimal) in computer science and digital electronics.
- Explore real-world applications of different number bases, such as binary code in computing and hexadecimal color codes in web design.
- Master the skills of performing arithmetic operations (addition, subtraction, multiplication, and division) in different number bases.

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.