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 the acronym 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 inside the parentheses: 7 + 3 = 10. Then, divide: 10 ÷ 2 = 5. Finally, subtract: 5 - 5 = 0.

Front

What is the result of (24 - 16) ÷ 8?

Back

First, simplify inside the parentheses: 24 - 16 = 8. Then, divide: 8 ÷ 8 = 1.

Front

How do you evaluate the expression 4 - 3 + 2 + 5 × 3?

Back

First, perform the multiplication: 5 × 3 = 15. Then, evaluate from left to right: 4 - 3 = 1, 1 + 2 = 3, and finally 3 + 15 = 18.

Front

How can you insert parentheses to make the equation 3 + 5 × 2 - 10 = 6 true?

Back

You can insert parentheses as follows: (3 + 5) × 2 - 10 = 6.

Front

What is the value of the expression (4 × 8) - (9 + 7)?

Back

First, calculate inside the parentheses: 4 × 8 = 32 and 9 + 7 = 16. Then, subtract: 32 - 16 = 16.

Front

What is the importance of using parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first, helping to clarify the order of operations and avoid ambiguity.

Front

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

Back

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