Order of Operations

Front

What is the Order of Operations in mathematics?

Back

The Order of Operations is a set of rules that dictates 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 simplify the expression 5 x 5 x 5 x 5 using exponents?

Back

The expression 5 x 5 x 5 x 5 can be simplified to 5^4, which means 5 multiplied by itself 4 times.

Front

What is the result of the expression 4 + 9 + 8 ÷ 4?

Back

The result is 15. According to the Order of Operations, you first perform the division (8 ÷ 4 = 2), then add: 4 + 9 + 2 = 15.

Front

How do you solve the expression (7 x 3) + 9?

Back

First, calculate the multiplication: 7 x 3 = 21. Then add 9: 21 + 9 = 30.

Front

What is the result of the expression (7 x 5) + 5?

Back

The result is 40. First, calculate the multiplication: 7 x 5 = 35, then add 5: 35 + 5 = 40.

Front

How do you evaluate the expression 2 + (9^2 - 4)?

Back

First, calculate the exponent: 9^2 = 81. Then subtract: 81 - 4 = 77. Finally, add 2: 2 + 77 = 79.

Front

What is the importance of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in an expression, ensuring clarity and accuracy in calculations.

Front

What is an exponent?

Back

An exponent is a mathematical notation indicating the number of times a number (the base) is multiplied by itself. For example, 5^3 means 5 x 5 x 5.

Front

What is the difference between multiplication and addition in terms of operation order?

Back

In the Order of Operations, multiplication is performed before addition. This means that in an expression with both operations, multiplication should be calculated first.