$+$

Definition

$+$ is the mathematical symbol used to represent addition, one of the four basic arithmetic operations. Addition is the process of combining two or more quantities to find their total or sum. It is a fundamental operation in algebra and mathematics that is used to represent the combining or joining of values or quantities.

5 Must Know Facts For Your Next Test

1. The $+$ symbol is used to represent the addition of two or more quantities, such as numbers, variables, or expressions.
2. Addition is a binary operation, meaning it involves two operands, the addends, to produce a single result, the sum.
3. The commutative property of addition states that the order of the addends does not affect the final sum, i.e., $a + b = b + a$.
4. Addition can be used to combine like terms in algebraic expressions, such as $2x + 3x = 5x$.
5. The identity property of addition states that adding zero to any number does not change the value of that number, i.e., $a + 0 = a$.

Review Questions

• Explain how the $+$ symbol is used in the context of 1.1 Use the Language of Algebra.
  • In the context of 1.1 Use the Language of Algebra, the $+$ symbol is used to represent the addition of algebraic terms or expressions. This allows for the combining of like terms, such as $2x + 3x = 5x$, and the representation of sums of variables, constants, and other algebraic quantities. The use of the $+$ symbol is fundamental to expressing and manipulating algebraic expressions, which is a key component of 1.1 Use the Language of Algebra.
• Describe how the commutative property of addition applies to the use of the $+$ symbol in algebraic expressions.
  • The commutative property of addition, which states that the order of the addends does not affect the sum, $a + b = b + a$, is an important concept when using the $+$ symbol in algebraic expressions. This property allows for the rearrangement of terms in an expression without changing the overall value, enabling simplification and manipulation of algebraic expressions, a crucial skill in 1.1 Use the Language of Algebra.
• Analyze how the identity property of addition, $a + 0 = a$, relates to the use of the $+$ symbol in the context of 1.1 Use the Language of Algebra.
  • The identity property of addition, which states that adding zero to any number does not change the value of that number, is relevant in the context of 1.1 Use the Language of Algebra. This property allows for the addition of zero to algebraic expressions without altering their value, which can be useful in simplifying and manipulating expressions. Understanding the identity property and how it applies to the $+$ symbol is important for effectively using the language of algebra to represent and solve mathematical problems.

Related terms

Addend: The quantities that are being added together in an addition operation.

Sum: The result or total obtained by adding two or more quantities together.

Commutative Property: The property that states that the order of the addends does not change the sum, i.e., $a + b = b + a$.