7BOrder 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 to remember this order 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 evaluate an expression with parentheses?

Back

You should first simplify the expression inside the parentheses before applying any other operations.

Front

What is the value of 2^3?

Back

The value of 2^3 is 8.

Front

What is the result of 6 × 3 + 2^2?

Back

The result is 22, calculated as follows: 6 × 3 = 18, then 2^2 = 4, and finally 18 + 4 = 22.

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 result of 70 ÷ 5 - 2^3?

Back

The result is 6, calculated as follows: 70 ÷ 5 = 14, then 2^3 = 8, and finally 14 - 8 = 6.

Front

What is the first operation to perform in the expression 8 ÷ 2 × (2 + 2)?

Back

The first operation to perform is the addition inside the parentheses: (2 + 2) = 4.

Front

What is the value of 3^3?

Back

The value of 3^3 is 27.

Front

What is the result of 2 × 3^3 + 10?

Back

The result is 64, calculated as follows: 3^3 = 27, then 2 × 27 = 54, and finally 54 + 10 = 64.