Evaluate the Expression: 2-5×3+4 Using Order of Operations

Order of Operations with Mixed Integer Operations

25×3+4= 2-5\times3+4=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Multiplication and division take precedence over addition and subtraction
00:11 Let's solve the marked part
00:17 Only the addition and subtraction remain
00:19 Given that we only have addition and subtraction operations, solve from left to right
00:24 That's the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

25×3+4= 2-5\times3+4=

2

Step-by-step solution

According to the rules of the order of arithmetic operations, we begin by enclosing the multiplication exercise inside parentheses:

2(5×3)+4= 2-(5\times3)+4=

We then solve the said exercise inside of the parentheses:

5×3=15 5\times3=15

We obtain the following:

215+4= 2-15+4=

Lastly we solve the exercise from left to right:

215=13 2-15=-13

13+4=9 -13+4=-9

3

Final Answer

-9

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Multiplication before addition and subtraction
  • Technique: First calculate 5×3=15 5\times3=15 , then work left to right
  • Check: Substitute: 215+4=13+4=9 2-15+4=-13+4=-9

Common Mistakes

Avoid these frequent errors
  • Working strictly left to right without considering multiplication first
    Don't calculate 2-5=-3 first and then multiply by 3 = -9+4=-5! This ignores PEMDAS and gives the wrong answer. Always do multiplication before addition and subtraction.

Practice Quiz

Test your knowledge with interactive questions

\( 8 + 3 \times 2 = \)

FAQ

Everything you need to know about this question

Why can't I just solve from left to right like reading?

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Mathematics has a special order called PEMDAS! If we solved left to right, everyone would get different answers for the same problem. The order of operations ensures we all get the same correct answer.

What does PEMDAS stand for again?

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Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Remember: "Please Excuse My Dear Aunt Sally!"

Do I really need to do multiplication before subtraction?

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Yes! Multiplication always comes before addition and subtraction in PEMDAS. In 25×3+4 2-5\times3+4 , you must calculate 5×3=15 5\times3=15 first, then work left to right with the remaining operations.

How can I remember to follow the order of operations?

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Try circling or underlining the operation you should do first! In this problem, circle the 5×3 5\times3 part. This visual reminder helps you tackle multiplication before moving to addition and subtraction.

What if I get a different answer than -9?

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Double-check your work step by step! Most mistakes happen when students work left to right instead of doing multiplication first. Remember: 25×3+4=215+4=13+4=9 2-5\times3+4 = 2-15+4 = -13+4 = -9

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