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 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

When solving the expression 2 × 3^3 + 10, which operation should be performed first?

Back

The exponentiation should be performed first, calculating 3^3 before any multiplication or addition.

Front

In the expression 22 + 6 × 4 - 18, which operation is performed first according to the order of operations?

Back

Multiplication is performed first, so 6 × 4 is calculated before addition and subtraction.

Front

What is the result of the expression 4^2 + 15 ÷ 3?

Back

The result is 19, calculated by first performing the exponentiation (4^2 = 16) and then the division (15 ÷ 3 = 5), followed by addition (16 + 5 = 21).

Front

In the expression 6^2 - 92 ÷ 4, what is the correct order of operations?

Back

The correct order is: first calculate the exponent (6^2), then perform the division (92 ÷ 4), and finally subtract the results.

Front

What is the value of the expression 10 × 8 + 52 ÷ 4?

Back

The value is 93, calculated by first performing the multiplication (10 × 8 = 80) and the division (52 ÷ 4 = 13), then adding the results (80 + 13 = 93).

Front

Why is it important to follow the order of operations?

Back

Following the order of operations is crucial to ensure that mathematical expressions are evaluated correctly and consistently, leading to the correct answer.

Front

What is the result of the expression 5 + 2 × (3 + 4)?

Back

The result is 19, calculated by first solving the parentheses (3 + 4 = 7), then performing the multiplication (2 × 7 = 14), and finally adding (5 + 14 = 19).

Front

How do parentheses affect the order of operations?

Back

Parentheses indicate that the operations within them should be performed first, overriding the standard order of operations.