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 common acronym used 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 step in solving the expression 6 + (5 x 2)?

Back

The first step is to solve the expression inside the parentheses, which is 5 x 2.

Front

In the expression 3 + 4 x 6 - 4, what operation should be performed first?

Back

The first operation to perform is multiplication, which is 4 x 6.

Front

Why do we solve expressions in parentheses first?

Back

Expressions in parentheses are solved first to clarify the order of operations and ensure that calculations are performed in the correct sequence.

Front

What is the result of the expression (7 + 41) ÷ 2?

Back

The result is 24, as you first add 7 and 41 to get 48, then divide by 2.

Front

What is the significance of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first, helping to avoid ambiguity in calculations.

Front

How do you handle multiplication and division in an expression?

Back

Multiplication and division are performed from left to right, depending on which comes first in the expression.

Front

What is the result of the expression 22 ÷ (5 - 3)?

Back

The result is 11, as you first solve the expression in parentheses (5 - 3 = 2) and then divide 22 by 2.

Front

What is the first step in solving the expression (4 - 2) x 9 + 7?

Back

The first step is to solve the expression in parentheses, which is (4 - 2).