Order of Operations

Front

What is the order of operations in mathematics?

Back

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).

Front

What does PEMDAS stand for?

Back

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

Front

What is the first step in solving the expression -2 ⋅ (3 + 8 ÷ 4)²?

Back

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

Front

How do you evaluate an exponent, such as 3²?

Back

To evaluate an exponent, you multiply the base by itself. For example, 3² means 3 x 3, which equals 9.

Front

What is the result of the expression 5 - 6² ÷ 4 - 3?

Back

The result is -7.

Front

True or False: The expression 2 x 3 + 10 ÷ 2 equals 8.

Back

False. The correct evaluation is 2 x 3 + 5 = 11.

Front

What is the value of 3² + 4² - (4 x 2)?

Back

The value is 17.

Front

What is the purpose of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in an expression.

Front

How do you handle multiplication and division in an expression?

Back

Multiplication and division are performed from left to right, as they appear in the expression.

Front

What is the difference between addition and multiplication in terms of order of operations?

Back

Multiplication is performed before addition in the order of operations.