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 operations are performed in a mathematical expression. 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

How do you simplify the expression 3(6 + 2)?

Back

You first simplify the expression inside the parentheses: 6 + 2 = 8. Then multiply: 3 x 8 = 24.

Front

What is the first operation to perform in the expression 6^2 - 92 ÷ 4?

Back

The first operation is to calculate the exponent: 6^2 = 36.

Front

In the expression (12 + 10) ÷ 10 · 14 - 6, which operation is performed first?

Back

The first operation is addition: 12 + 10 = 22.

Front

What is the result of the multiplication in the expression 3 + 4 x 6 - 4?

Back

The multiplication is performed first: 4 x 6 = 24.

Front

What should you look for before solving addition and subtraction in an expression?

Back

You should look for any multiplication or division that needs to be performed first, as they take precedence over addition and subtraction.

Front

What is the result of the expression 6^2 - 92 ÷ 4 after applying the order of operations?

Back

First, calculate 6^2 = 36, then 92 ÷ 4 = 23. Finally, 36 - 23 = 13.

Front

What is the importance of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first, altering the standard order of operations.

Front

How do you handle multiple operations in a single expression?

Back

Follow the order of operations: perform calculations in parentheses first, then exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.