Order of Operations

Front

What is the Order of Operations in mathematics?

Back

The Order of Operations is a set of rules that dictates the sequence in which calculations are performed in a mathematical expression. The acronym PEMDAS is often used to remember the order: 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 5 - (7 + 3) ÷ 2?

Back

First, simplify the expression inside the parentheses: 7 + 3 = 10. Then, divide by 2: 10 ÷ 2 = 5. Finally, subtract from 5: 5 - 5 = 0.

Front

What is the first step to simplify the expression 3 + 4 x 6 - 4?

Back

The first step is to perform multiplication before addition and subtraction. So, calculate 4 x 6 first.

Front

What is the result of (7 + 41) ÷ 2 - 15?

Back

First, simplify inside the parentheses: 7 + 41 = 48. Then divide by 2: 48 ÷ 2 = 24. Finally, subtract 15: 24 - 15 = 9.

Front

How do you solve the expression 23 + (30 ÷ 10) x 4?

Back

First, simplify inside the parentheses: 30 ÷ 10 = 3. Then multiply: 3 x 4 = 12. Finally, add: 23 + 12 = 35.

Front

What is the importance of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in an expression, ensuring that calculations are done in the correct order.

Front

What is the difference between multiplication and division in the Order of Operations?

Back

Multiplication and division are of equal precedence in the Order of Operations and are performed from left to right as they appear in the expression.

Front

What is the result of the expression 24 - 16 ÷ 8?

Back

First, divide: 16 ÷ 8 = 2. Then subtract: 24 - 2 = 22.

Front

What is the result of the expression 5 - 7 + 3?

Back

Perform the operations from left to right: 5 - 7 = -2, then -2 + 3 = 1.