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 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 solve an expression with parentheses?

Back

You solve expressions with parentheses first, performing the operations inside the parentheses before applying the Order of Operations to the rest of the expression.

Front

What is the result of 12 - 4 x 2 according to the Order of Operations?

Back

The result is 4. According to the Order of Operations, multiplication is performed before subtraction.

Front

How do you handle exponents in an expression?

Back

Exponents are handled after parentheses but before multiplication, division, addition, and subtraction. You calculate the exponent first.

Front

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

Back

The result is 9. First, calculate inside the parentheses (7 + 41 = 48), then divide by 2 (48 ÷ 2 = 24), and finally subtract 15 (24 - 15 = 9).

Front

How do you solve an expression with both multiplication and addition?

Back

According to the Order of Operations, you perform multiplication before addition. For example, in the expression 2 + 4 x 5, you would first calculate 4 x 5 = 20, then add 2 to get 22.

Front

What is the result of 5 - 6² ÷ 4 - 3?

Back

The result is -7. First, calculate the exponent (6² = 36), then divide (36 ÷ 4 = 9), and finally perform the operations from left to right: 5 - 9 - 3 = -7.

Front

How do you evaluate a negative number multiplied by a positive number?

Back

When a negative number is multiplied by a positive number, the result is negative. For example, -2 x 5 = -10.

Front

What is the result of -2 x (3 + 8 ÷ 4)²?

Back

The result is -50. First, calculate inside the parentheses (8 ÷ 4 = 2, then 3 + 2 = 5), then square it (5² = 25), and finally multiply by -2 (-2 x 25 = -50).