What are the steps of the order of operations? Why is it important that you follow steps rather than solve the problem from left to right? Write an expression for your classmates to simplify using a least three of the following.
http://www.mathsisfun.com/operation-order-pemdas.html
What would happen if you DIDN'T solve a problem in the accepted order of operations?
The order of operations is a set of rules that dictate the sequence in which mathematical operations are performed in a given expression. The purpose is to provide a standardized way to evaluate expressions and ensure that everyone arrives at the correct answer. The order of operations is as follows:
1. Parentheses/brackets: Simplify any expressions inside parentheses or brackets first.
2. Exponents: Perform any calculations involving exponents.
3. Multiplication and Division: Perform all multiplication and division from left to right.
4. Addition and Subtraction: Perform all addition and subtraction from left to right.
Following the order of operations is crucial because it ensures that the same expression is evaluated consistently by everyone. If you were to solve an expression from left to right without following the order of operations, you might end up with a different result compared to someone who does follow the correct order.
Here's an expression for your classmates to simplify using at least three of the following operations:
Expression: (15 + 3) * 2 - 7^2
1. First, simplify the expression inside the parentheses:
15 + 3 = 18
2. Next, calculate the exponent:
7^2 = 49
3. Now perform the multiplication:
18 * 2 = 36
4. Finally, subtract:
36 - 49 = -13
Therefore, the simplified value of the expression is -13.