Expressions and Order of Operations

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 the order of operations mean?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed in an expression.

Front

What is the acronym used to remember the order of operations?

Back

PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What is the first step in the order of operations?

Back

The first step is to solve expressions inside parentheses.

Front

What is the second step in the order of operations?

Back

The second step is to perform any exponents.

Front

What is the third step in the order of operations?

Back

The third step is to perform multiplication and division from left to right.

Front

What is the fourth step in the order of operations?

Back

The fourth step is to perform addition and subtraction from left to right.

Front

How do you evaluate the expression 50 - 16 x 2 ÷ (12 - 4)?

Back

First, solve the parentheses: 12 - 4 = 8. Then, perform multiplication and division from left to right: 16 x 2 = 32, then 32 ÷ 8 = 4. Finally, subtract: 50 - 4 = 46.

Front

What is the result of (16 - 6) x (2 + 4)?

Back

The result is 60.

Front

How do you solve the expression 5 x (7 - 4) - 3 x 2?

Back

First, solve inside the parentheses: 7 - 4 = 3. Then, multiply: 5 x 3 = 15 and 3 x 2 = 6. Finally, subtract: 15 - 6 = 9.