Numerical Expressions

A numerical expression is a mathematical phrase that includes numbers and operations (such as addition, subtraction, multiplication, and division) but does not contain any variables.

The order of operations is a set of rules that determines the sequence in which calculations are performed. The common acronym is PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

To evaluate a numerical expression, follow the order of operations: perform calculations inside parentheses first, then exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

To write a verbal expression as a numerical expression, identify the mathematical operations described in the words and translate them into numbers and symbols.

The result is 18, following the order of operations (multiplication before addition).

Parentheses indicate that the operations inside them should be performed first, altering the standard order of operations.

To solve an equation with multiple operations, apply the order of operations systematically, ensuring to simplify step by step.

A sequence of numbers is an ordered list of numbers that follow a particular pattern or rule.