Solve the Expression: 25×6-9-41 Step-by-Step

Order of Operations with Mixed Arithmetic

25×6941= 25\times6-9-41=

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

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
00:10 Addition and subtraction are at the same level according to the order of operations hierarchy, thus we solve from left to right
00:20 That's the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

25×6941= 25\times6-9-41=

2

Step-by-step solution

According to the order of operations, we first put the multiplication exercise in parentheses to avoid confusion in the rest of the solution:

(25×6)941= (25\times6)-9-41=

Let's solve the multiplication exercise first:

150941= 150-9-41=

Now let's solve the exercise from left to right:

1509=141 150-9=141

14141=100 141-41=100

3

Final Answer

100 100

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Multiplication comes before subtraction in order of operations
  • Technique: Calculate 25×6=150 25\times6=150 first, then subtract left to right
  • Check: Verify final answer: 150941=14141=100 150-9-41=141-41=100

Common Mistakes

Avoid these frequent errors
  • Solving left to right without following order of operations
    Don't calculate 25×69 25\times6-9 as 25×(69) 25\times(6-9) = 25×(3)=75 25\times(-3)=-75 ! This ignores PEMDAS and gives completely wrong results. Always do multiplication first, then subtract from left to right.

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 work from left to right like reading?

+

Mathematical operations have a specific order called PEMDAS! If we calculated 25×6941 25\times6-9-41 left to right, we'd get wrong answers. Multiplication must come first.

Do I need parentheses around the multiplication?

+

No, parentheses aren't required, but they can help! Writing (25×6)941 (25\times6)-9-41 makes it clearer which operation to do first and prevents mistakes.

What if I forget to multiply first?

+

You'll get the wrong answer! For example, calculating left to right gives different results than following PEMDAS. Always remember: multiplication before subtraction!

How do I remember the order of operations?

+

Use PEMDAS: Please Excuse My Dear Aunt Sally. This helps you remember: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

Why do we subtract from left to right after multiplication?

+

When operations have the same priority (like subtraction and subtraction), we work from left to right. So 150941 150-9-41 becomes (1509)41=14141=100 (150-9)-41=141-41=100 .

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Order of operations for beginners questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations