Solve the Parenthesis Conundrum for -36: Tips and Tricks

  • Thread starter tionis
  • Start date
In summary, The Parenthesis Conundrum refers to a mathematical expression containing parentheses that must be simplified to find the correct answer. It is important to solve this conundrum as it allows for simplification of complex expressions and is a fundamental skill in algebra. Tips for solving the Parenthesis Conundrum include starting with inner parentheses, using the correct order of operations, and double checking work. Tricks for solving it include using the distributive property and breaking down complex expressions. Common mistakes to avoid include forgetting to simplify inner parentheses, incorrect application of the order of operations, and careless errors in calculations.
  • #1
tionis
Gold Member
459
67
Hi guys. I'm asked to insert parentheses where needed so that the following expression evaluates to the given number negative 36:

2 ⋅ 8 ÷ 4 - 20 = - 36

My attempts:

( 2 ⋅ 8 ) ÷ ( 4 - 20 ) = 16 ÷ -16 = -1

2 ⋅ ( 8 ÷ 4 ) - 20 = 2 ( 2 ) - 20 = -16

( 2 ⋅ 8 ÷ 4 ) - 20 = -16

I just don't know what other combination I can try that will yield -36 as a solution. Please help me. Thanks.
 
Physics news on Phys.org
  • #2
Hint: 2 x -18 = -36

If you'll forgive the lack of parenthesis!
 
  • Like
Likes tionis
  • #3
PeroK said:
Hint: 2 x -18 = -36

If you'll forgive the lack of parenthesis!

I got it lol.

2 ⋅ [ ( 8 ÷ 4 ) - 20 ] = 2 [ ( 2 ) - 20 ]
= 2 [ -18] = -36

Thank you so much, PeroK! You're AWESOME!
 
  • Like
Likes PeroK

What is the Parenthesis Conundrum?

The Parenthesis Conundrum refers to a mathematical expression that contains parentheses and must be simplified or solved in order to find the correct answer.

Why is it important to solve the Parenthesis Conundrum?

Solving the Parenthesis Conundrum is important because it allows us to simplify complex mathematical expressions and find the correct answer. It is also a fundamental skill in algebra and other branches of mathematics.

What are some common tips for solving the Parenthesis Conundrum?

Some common tips for solving the Parenthesis Conundrum include:

  • Start by simplifying any parentheses within parentheses first
  • Remember to use the correct order of operations (PEMDAS)
  • Be careful with negative signs - they can change the sign of the expression within the parentheses
  • Double check your work to avoid mistakes

Are there any tricks for solving the Parenthesis Conundrum?

Yes, there are some tricks that can make solving the Parenthesis Conundrum easier. These include:

  • Using the distributive property to expand parentheses, if possible
  • Using mental math to simplify expressions within parentheses
  • Breaking down complex expressions into smaller parts

What are some common mistakes to avoid when solving the Parenthesis Conundrum?

Some common mistakes to avoid when solving the Parenthesis Conundrum include:

  • Forgetting to simplify inner parentheses before moving on to outer parentheses
  • Incorrectly applying the order of operations
  • Making careless errors in calculations

Similar threads

  • Precalculus Mathematics Homework Help
Replies
2
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
3
Views
1K
  • Precalculus Mathematics Homework Help
Replies
8
Views
1K
  • Precalculus Mathematics Homework Help
2
Replies
53
Views
5K
  • Calculus and Beyond Homework Help
Replies
4
Views
816
  • Precalculus Mathematics Homework Help
Replies
4
Views
1K
  • Nuclear Engineering
Replies
7
Views
2K
  • Precalculus Mathematics Homework Help
Replies
3
Views
998
  • Precalculus Mathematics Homework Help
2
Replies
39
Views
4K
Back
Top