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 acronym PEMDAS is commonly 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, Division, Addition, and Subtraction.

Front

What is the first step in solving the expression 6 × 5 + 3 - 4²?

Back

The first step is to evaluate the exponent, which is 4² = 16.

Front

In the expression 5 + 3² - (4 + 2), which operation should be performed first?

Back

The operation inside the parentheses (4 + 2) should be performed first.

Front

What is the result of the expression 16 ÷ 2 × 8?

Back

The result is 64, as multiplication and division are performed from left to right.

Front

What is the significance of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in an expression.

Front

What is an exponent in mathematics?

Back

An exponent is a number that indicates how many times to multiply a base number by itself.

Front

How do you handle multiplication and division in the order of operations?

Back

Multiplication and division are performed from left to right, whichever comes first.

Front

How do you handle addition and subtraction in the order of operations?

Back

Addition and subtraction are also performed from left to right, whichever comes first.

Front

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

Back

The result is 11, as multiplication is performed before addition.