Solve 73-(22-(-11)): Order of Operations with Negative Numbers

Parentheses with Negative Signs

73(22(11))= 73-(22-(-11))=

❤️ 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 Solve
00:03 Note - negative times negative is always positive
00:13 Always solve parentheses first
00:20 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

73(22(11))= 73-(22-(-11))=

2

Step-by-step solution

According to the order of operations, first we solve the exercise within parentheses:

Remember that the product of a negative by a negative gives a positive result, therefore:

(11)=+11 -(-11)=+11

Now we obtain the exercise:

73(22+11)= 73-(22+11)=

We solve the exercise within parentheses:

22+11=33 22+11=33

We obtain:

7333=40 73-33=40

3

Final Answer

40 40

Key Points to Remember

Essential concepts to master this topic
  • Rule: Work from innermost parentheses outward following PEMDAS order
  • Technique: Convert (11) -(-11) to +11 +11 before adding
  • Check: Substitute back: 7333=40 73 - 33 = 40 matches our answer ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring the double negative sign
    Don't calculate 22-(-11) as 22-11=11! The double negative -(-11) becomes +11, so you get 22+11=33. Always convert double negatives to positive before calculating.

Practice Quiz

Test your knowledge with interactive questions

\( 70:(14\times5)= \)

FAQ

Everything you need to know about this question

Why does -(-11) become +11?

+

Think of the negative sign as multiplication by -1. So (11)=(1)×(11)=+11 -(-11) = (-1) \times (-11) = +11 . When you multiply two negatives, you always get a positive!

Which parentheses do I solve first?

+

Always start with the innermost parentheses. In 73(22(11)) 73-(22-(-11)) , solve (11) -(-11) first, then (22+11) (22+11) , then the final subtraction.

Can I just ignore the parentheses?

+

Never! Parentheses change the order of operations completely. Without them, 7322(11) 73-22-(-11) would equal 62, not 40. Always respect parentheses first.

What if I get confused by all the negative signs?

+

Take it one step at a time. First convert (11)=+11 -(-11) = +11 , then rewrite as 73(22+11) 73-(22+11) . This makes it much clearer to solve!

How do I check if 40 is correct?

+

Work backwards! Start with 40, add 33 to get 73. Since 40+33=73 40 + 33 = 73 , and we know 22(11)=33 22-(-11) = 33 , our answer is right!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Commutative, Distributive and Associative Properties 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