Solve (16-6)×9+(7-3): Order of Operations Challenge

Order of Operations with Mixed Parentheses

Solve the following problem using the order of operations:

(166)×9+(73)= (16-6)\times9+(7-3)=

❤️ 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
00:09 Let's start with the parentheses, they always come first.
00:19 Next, we handle multiplication and division before any addition or subtraction.
00:25 Now, we're left with an easy addition problem.
00:28 And there you have it, that's the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following problem using the order of operations:

(166)×9+(73)= (16-6)\times9+(7-3)=

2

Step-by-step solution

According to the order of operations, we'll first solve the exercises in parentheses:

(166)=10 (16-6)=10

(73)=4 (7-3)=4

We should obtain the following exercise:

10×9+4 10\times9+4

We'll place the multiplication exercise in parentheses to avoid confusion in the rest of the solution:

(10×9)+4= (10\times9)+4=

According to the order of operations, we'll solve the multiplication exercise and then add:

90+4=94 90+4=94

3

Final Answer

94 94

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Always solve parentheses first, then multiplication and addition
  • Technique: Calculate (166)=10 (16-6) = 10 and (73)=4 (7-3) = 4 before other operations
  • Check: Final calculation 10×9+4=90+4=94 10 \times 9 + 4 = 90 + 4 = 94

Common Mistakes

Avoid these frequent errors
  • Solving operations left to right without following PEMDAS
    Don't calculate 16-6×9 first = 16-54 = wrong negative result! This ignores the parentheses and multiplication priority rules. Always solve parentheses first, then follow PEMDAS order completely.

Practice Quiz

Test your knowledge with interactive questions

\( 100+5-100+5 \)

FAQ

Everything you need to know about this question

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

+

Mathematics has a specific order called PEMDAS to avoid confusion! Without it, the same expression could have different answers. Parentheses always come first, no matter where they appear.

Do I need to write out every step like in the solution?

+

Yes! Writing each step helps you avoid mistakes and makes it easier to check your work. Show the parentheses calculations first: (166)=10 (16-6) = 10 and (73)=4 (7-3) = 4 .

What if I forget to do the parentheses first?

+

You'll get the wrong answer! For example, doing 166×9 16-6 \times 9 first gives you 1654=38 16-54 = -38 , which is completely different from the correct answer of 94.

Is there a way to double-check my PEMDAS work?

+

Absolutely! After solving, try working backwards from your answer. Does 944=90 94 - 4 = 90 and 90÷9=10 90 ÷ 9 = 10 ? This matches our parentheses results!

Why do we solve multiplication before addition in this problem?

+

Even though addition appears last in the expression, multiplication always comes before addition in PEMDAS. So 10×9 10 \times 9 must be calculated before adding 4.

🌟 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