Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Simplify using order of operations. Show all of your work and do ONE operation at a time to receive all possible points.
16 ÷4⋅2
order of operation: multiplication and division are done from left to right in the order they come
16÷4*2
= 4*2
= 8
To simplify the expression using the order of operations, we need to follow the rules of PEMDAS:
P: Parentheses (simplify expressions within parentheses)
E: Exponents (simplify any exponents)
MD: Multiplication and Division (perform any multiplication or division from left to right)
AS: Addition and Subtraction (perform any addition or subtraction from left to right)
In this expression, there are two operations: division (÷) and multiplication (⋅). According to the order of operations, we need to perform the division before the multiplication. Let's simplify step by step:
Step 1: Division (÷)
16 ÷ 4 = 4
Now the expression becomes:
4 ⋅ 2
Step 2: Multiplication (⋅)
4 ⋅ 2 = 8
Therefore, the simplified expression is 8.
To summarize:
16 ÷ 4 ⋅ 2 = 8
Remember, it is essential to follow the order of operations, also known as PEMDAS, to solve these types of expressions correctly.