Order Of Operations: A Math-Drills.com Answer Key

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Integer Addition and Subtraction with Parentheses around all Integers from www.math-drills.com

Introduction

Order of operations is a fundamental concept in mathematics. It involves the correct sequence of operations when solving mathematical expressions. This concept is essential because it ensures that mathematical expressions are solved accurately and consistently. In this article, we will explore the order of operations and provide an answer key for Math-Drills.com.

What is the Order of Operations?

The order of operations is a set of rules that dictate the order in which mathematical operations should be performed. The acronym PEMDAS is often used to remember the order of operations:

  • Parentheses
  • Exponents
  • Multiplication and Division (from left to right)
  • Addition and Subtraction (from left to right)

Why is the Order of Operations Important?

The order of operations is important because it ensures that mathematical expressions are solved consistently. Without the order of operations, there would be ambiguity in the interpretation of mathematical expressions. For example, the expression 6 + 4 x 2 could be interpreted as either 20 (if you add 6 plus 4 and then multiply by 2) or 14 (if you multiply 4 by 2 and then add 6).

Example Problems

Let\’s take a look at some example problems to demonstrate the order of operations:

  1. 8 + 3 x 2 – 5 = ?
  2. First, we perform the multiplication: 3 x 2 = 6. Then we perform the addition and subtraction, from left to right: 8 + 6 – 5 = 9. Therefore, the answer is 9.

  3. 12 – 2 x 3 + 4 = ?
  4. First, we perform the multiplication: 2 x 3 = 6. Then we perform the addition and subtraction, from left to right: 12 – 6 + 4 = 10. Therefore, the answer is 10.

  5. (2 + 3) x 4 – 5 = ?
  6. First, we perform the addition inside the parentheses: 2 + 3 = 5. Then we perform the multiplication: 5 x 4 = 20. Finally, we perform the subtraction: 20 – 5 = 15. Therefore, the answer is 15.

Math-Drills.com Answer Key

Math-Drills.com is a website that provides free math worksheets for teachers, parents, and students. The website has a wide variety of worksheets, including those that focus on the order of operations. Here is an answer key for one of Math-Drills.com\’s order of operations worksheets:

(1) 12

(2) 27

(3) 19

(4) 9

(5) 15

(6) 14

(7) 8

(8) 11

(9) 3

(10) 5

Conclusion

Order of operations is an essential concept in mathematics. It ensures that mathematical expressions are solved consistently and accurately. By following the rules of PEMDAS, we can solve mathematical expressions with confidence. Math-Drills.com is a valuable resource for practicing the order of operations, as well as other mathematical concepts.

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