1/5/24Order 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 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 the expression 4^2 + 7 × 2?

Back

First, calculate the exponent: 4^2 = 16. Then, perform the multiplication: 7 × 2 = 14. Finally, add the results: 16 + 14 = 30.

Front

What operation should be performed first in the expression 4^2 + 15 ÷ 3?

Back

The first operation to perform is the exponentiation: 4^2.

Front

How can you express 2^5 using multiplication?

Back

2^5 can be expressed as 2 × 2 × 2 × 2 × 2.

Front

What is the result of the expression 20 × 2 - (10 - 4)?

Back

First, solve the parentheses: (10 - 4) = 6. Then, perform the multiplication: 20 × 2 = 40. Finally, subtract: 40 - 6 = 34.

Front

How do you solve the expression 22 + 6 × 4 - 18?

Back

First, perform the multiplication: 6 × 4 = 24. Then, add: 22 + 24 = 46. Finally, subtract: 46 - 18 = 28.

Front

What is the importance of parentheses in mathematical expressions?

Back

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

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base number by itself. For example, 2^3 means 2 × 2 × 2.

Front

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

Back

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