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Using the order of operations, what are the steps for solving this expression?
Arrange the steps in the order in which they are performed.
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Answers
Step-by-step explanation:
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Answer:
People need a common set of rules for performing computation. Many years ago, mathematicians developed a standard order of operations that tells you which calculations to make first in an expression with more than one operation. Without a standard procedure for making calculations, two people could get two different answers to the same problem. For example, 3 + 5 • 2 has only one correct answer. Is it 13 or 16?
The Order of Addition, Subtraction, Multiplication & Division Operations
First, consider expressions that include one or more of the arithmetic operations: addition, subtraction, multiplication, and division. The order of operations requires that all multiplication and division be performed first, going from left to right in the expression. The order in which you compute multiplication and division is determined by which one comes first, reading from left to right.
After multiplication and division has been completed, add or subtract in order from left to right. The order of addition and subtraction is also determined by which one comes first when reading from left to right.
Below, are three examples showing the proper order of operations for expressions with addition, subtraction, multiplication, and/or division.
Example
Problem
Simplify 3 + 5 • 2.
3 + 5 • 2
Order of operations tells you to perform multiplication before addition.
3 + 10
Then add.
Answer 3 + 5 • 2 = 13
Example
Problem
Simplify 20 – 16 ÷ 4.
20 – 16 ÷ 4
Order of operations tells you to perform division before subtraction.
20 – 4
16
Then subtract.
Answer 20 – 16 ÷ 4 = 16
Example
Problem
Simplify 60 – 30 ÷ 3 • 5 + 7.
60 – 30 ÷ 3 • 5 + 7
Order of operations tells you to perform multiplication and division first, working from left to right, before doing addition and subtraction.
60 – 10 • 5 + 7
60 – 50 + 7
Continue to perform multiplication and division from left to right.
10 + 7
17
Next, add and subtract from left to right. (Note that addition is not necessarily performed before subtraction.)
Answer 60 – 30 ÷ 3 • 5 + 7 = 17