order of operations 1

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

How do you evaluate an expression with exponents?

Back

To evaluate an expression with exponents, calculate the exponent first, then perform the other operations according to the order of operations.

Front

What is the first step in solving the expression 90 - 5² × 3?

Back

The first step is to calculate the exponent: 5² = 25.

Front

In the expression 36 ÷ 3² + 5 ⋅ 6, what operation should be performed first?

Back

The exponent should be calculated first: 3² = 9.

Front

How do you simplify the expression 14 + (22 - 2)?

Back

First, simplify the expression inside the parentheses: 22 - 2 = 20, then add: 14 + 20 = 34.

Front

What is the result of the expression (-3) × (-2) × (1) ÷ 2?

Back

The first operation is multiplication: (-3) × (-2) = 6, then multiply by 1, and finally divide by 2: 6 ÷ 2 = 3.

Front

How do you solve the expression 8 ÷ 8 + 6 × 2?

Back

First, perform the division: 8 ÷ 8 = 1, then perform the multiplication: 6 × 2 = 12, and finally add: 1 + 12 = 13.

Front

What is the importance of parentheses in mathematical expressions?

Back

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

Front

What is the result of 5² × 3?

Back

First, calculate the exponent: 5² = 25, then multiply: 25 × 3 = 75.