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. The common acronym 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

Which operation is performed first in the expression: 3 + 5 x 2?

Back

Multiplication is performed first, so the expression is evaluated as 3 + (5 x 2) = 3 + 10 = 13.

Front

What is the result of 8 - 2 x 3?

Back

The result is 2. First, perform the multiplication: 2 x 3 = 6, then subtract: 8 - 6 = 2.

Front

What is the base in the expression 4^3 = 64?

Back

The base is 4.

Front

What is the exponent in the expression 5^2 = 25?

Back

The exponent is 2.

Front

Simplify the expression: 6 + (2 x 3) - 4.

Back

The simplified expression is 8. First, calculate inside the parentheses: 2 x 3 = 6, then 6 + 6 - 4 = 8.

Front

What is the value of 2 + 3^2?

Back

The value is 11. First, calculate the exponent: 3^2 = 9, then 2 + 9 = 11.

Front

Which operation is performed second in the expression: 10 - 2 + 3 x 4?

Back

The second operation is addition. The order of operations is: first subtraction (10 - 2), then multiplication (3 x 4), and finally addition.

Front

What is the result of the expression: (5 + 3) x 2?

Back

The result is 16. First, calculate inside the parentheses: 5 + 3 = 8, then multiply: 8 x 2 = 16.