Evaluating Expressions

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (like +, -, ×, ÷) that represents a value.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by performing the operations in the correct order.

Front

What is the order of operations?

Back

The order of operations is a set of rules that tells you the sequence to follow when evaluating expressions: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often remembered by the acronym PEMDAS.

Front

What is the first step in evaluating the expression 18 - 8 ÷ 2?

Back

The first step is to perform the division: 8 ÷ 2 = 4.

Front

What is the result of the expression 18 - 8 ÷ 2?

Back

The result is 14.

Front

How do you simplify the expression (7 + 41) ÷ 2 – 15?

Back

First, calculate 7 + 41 = 48, then divide by 2 to get 24, and finally subtract 15 to get 9.

Front

What is the value of the expression 75 ÷ 5 × 9 – 9?

Back

First, divide 75 by 5 to get 15, then multiply by 9 to get 135, and finally subtract 9 to get 126.

Front

What is the first step in simplifying the expression 15 ÷ 5 + 3 x 6 - 2?

Back

The first step is to perform the division: 15 ÷ 5 = 3.

Front

What is the value of the expression (18 ÷ 2) × 3 – 17?

Back

First, divide 18 by 2 to get 9, then multiply by 3 to get 27, and finally subtract 17 to get 10.

Front

What is the difference between an equation and an expression?

Back

An equation states that two expressions are equal, while an expression does not include an equality sign.