Order of Operations with Rational Numbers

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 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 3 + 4 x 6 - 4?

Back

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

Front

How do you simplify the expression (16.5 ÷ 2) + 8?

Back

First, divide 16.5 by 2 to get 8.25, then add 8 to get 16.25.

Front

What is the result of the expression 3[2.5 + (5.3 - 3.9)]?

Back

First, simplify inside the parentheses: 5.3 - 3.9 = 1.4. Then, 2.5 + 1.4 = 3.9. Finally, multiply by 3 to get 11.7.

Front

How do you solve the expression 3(4.8) - 2(1.03)?

Back

First, multiply: 3 x 4.8 = 14.4 and 2 x 1.03 = 2.06. Then, subtract: 14.4 - 2.06 = 12.34.

Front

What is the value of the expression 23 + (30 ÷ 10) x 4?

Back

First, divide 30 by 10 to get 3. Then, multiply by 4 to get 12. Finally, add 23 + 12 to get 35.

Front

Why is it important to follow the order of operations?

Back

Following the order of operations ensures that mathematical expressions are evaluated consistently and correctly, leading to the correct answer.

Front

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

Back

Multiplication is performed before addition in the order of operations, meaning it takes precedence when evaluating expressions.

Front

How do parentheses affect the order of operations?

Back

Parentheses indicate that the operations inside them should be performed first, overriding the standard order of operations.