Numerical Expression

A numerical expression is a mathematical phrase that contains only numbers and operation symbols. It does not have an equal sign, so it cannot be solved. Instead, it represents a specific value when the operations are performed.

Components of a Numerical Expression

• Numbers: These are the values used in the expression. They can be integers, fractions, decimals, or any other type of number.
• Operation Symbols: These are the signs that indicate the operations to be performed. Common operation symbols include addition (+), subtraction (-), multiplication (*), division (/), and exponents (^).
• Grouping Symbols: Parentheses, brackets, or braces are used to indicate the order in which operations should be performed. They help clarify the hierarchy of operations.

Examples of Numerical Expressions

Here are some examples of numerical expressions:

1. 3 + 5 * 2
2. (8 - 2) / 4
3. 1.5 * (6 + 2.3)
4. 12^2 - 5 * 4

Study Guide

To understand numerical expressions, it's important to remember the order of operations, which is the sequence in which different operations are performed. The mnemonic "Please Excuse My Dear Aunt Sally" (PEMDAS) can help you remember the order:

1. Parentheses
2. Exponents
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

When evaluating a numerical expression, you should follow the order of operations to simplify the expression and find its value. Always start by evaluating expressions within parentheses, then perform any exponentiation, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.

Practice solving numerical expressions with different combinations of operations and numbers to strengthen your understanding of the concept.

Good luck with your studies!