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 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

What is the first step in solving the expression 3 + 4 x 6 - 4?

Back

The first step is to perform the multiplication: 4 x 6 = 24.

Front

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

Back

First, calculate 3(4.8) = 14.4 and 2(1.03) = 2.06. Then, subtract: 14.4 - 2.06 = 12.34.

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, calculate 2.5 + 1.4 = 3.9. Finally, multiply by 3: 3 x 3.9 = 11.7.

Front

How do you solve the expression (4 x 8) - (9 + 7)?

Back

First, calculate 4 x 8 = 32. Then, calculate 9 + 7 = 16. Finally, subtract: 32 - 16 = 16.

Front

What is the value of the expression (16.5 ÷ 2) + 8?

Back

First, divide: 16.5 ÷ 2 = 8.25. Then, add: 8.25 + 8 = 16.25.

Front

What is the importance of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in an expression, helping to clarify the order of operations.

Front

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

Back

In the order of operations, multiplication is performed before addition. This means that in an expression, any multiplication must be completed before any addition.

Front

How do you handle exponents in the order of operations?

Back

Exponents are calculated after any operations inside parentheses and before multiplication, division, addition, and subtraction.