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 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 solve the expression 4 + 2 x 8 using the Order of Operations?

Back

According to the Order of Operations, you first perform multiplication before addition. So, 2 x 8 = 16, then 4 + 16 = 20.

Front

What is the result of the expression 2 x 9 ÷ 3?

Back

Using the Order of Operations, you perform multiplication and division from left to right. So, 2 x 9 = 18, then 18 ÷ 3 = 6.

Front

How do you evaluate the expression (3^3 - 5) ÷ 2 + 4?

Back

First, calculate the exponent: 3^3 = 27. Then, subtract 5: 27 - 5 = 22. Next, divide by 2: 22 ÷ 2 = 11. Finally, add 4: 11 + 4 = 15.

Front

What is the result of the expression 8 + 7 ⋅ 2?

Back

According to the Order of Operations, you perform multiplication before addition. So, 7 ⋅ 2 = 14, then 8 + 14 = 22.

Front

How do you solve the expression 4^3 + 2 x 8?

Back

First, calculate the exponent: 4^3 = 64. Then, perform the multiplication: 2 x 8 = 16. Finally, add the results: 64 + 16 = 80.

Front

What is the importance of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in a mathematical expression, overriding the standard Order of Operations.

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 difference between addition and subtraction in the Order of Operations?

Back

Addition and subtraction are also of equal precedence in the Order of Operations and are performed from left to right as they appear in the expression.