What is an expression to simplify using at least three of the following?
Groupings: Parenthesis, brackets, or braces
Exponents
Multiplication or division
Addition or subtraction
To simplify an expression using at least three of the given math operations, groupings, and exponents, you can use the order of operations, also known as PEMDAS. This acronym stands for Parentheses, Exponents, Multiplication or Division (from left to right), and Addition or Subtraction (from left to right).
Let's say we have the following expression:
3 + 4 * (5 - 2) / 2^2
1. First, we look for Groupings, which are represented by parentheses, brackets, or braces. In this expression, we have parentheses: (5 - 2).
We simplify what's inside the parentheses:
5 - 2 = 3
Our new expression becomes:
3 + 4 * 3 / 2^2
2. Next, we check for Exponents. We have 2^2.
We calculate the exponent:
2^2 = 4
Our updated expression becomes:
3 + 4 * 3 / 4
3. Now, we move on to Multiplication or Division, working from left to right.
In our expression:
4 * 3 = 12
Our simplified expression becomes:
3 + 12 / 4
4. Finally, we evaluate the remaining Addition and Subtraction operations, also from left to right.
Here, we have:
3 + 12 / 4 = 3 + 3 = 6
So, the expression 3 + 4 * (5 - 2) / 2^2 simplifies to 6 using the given math operations: parentheses, exponents, multiplication, and division.