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

What is the first operation to perform in the expression 7 + 3 x 5?

Back

According to the order of operations, multiplication is performed before addition, so the first operation is multiplication (3 x 5).

Front

How do you solve the expression 7 + 3 x 5?

Back

First, perform the multiplication: 3 x 5 = 15. Then, add 7: 7 + 15 = 22.

Front

What is the result of the expression 10 - (7 + 1)?

Back

First, solve the expression inside the parentheses: 7 + 1 = 8. Then, subtract: 10 - 8 = 2.

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply a base number by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 x 2 x 2.

Front

What is the value of 5^2?

Back

The value of 5^2 is 25, since 5 x 5 = 25.

Front

In the expression 4 + 3 x 2^2, what operation should be performed first?

Back

The first operation to perform is the exponentiation (2^2), which equals 4.

Front

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

Back

First, calculate the exponent: 2^2 = 4. Then, perform the multiplication: 3 x 4 = 12. Finally, add: 4 + 12 = 16.

Front

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

Back

Multiplication and division are performed from left to right, meaning they are of equal precedence. You perform whichever comes first in the expression.