How long does it take to make homework that comes out even, when there

In summary, the conversation discusses the length of numbers in math problems and the absence of decimals in some problems. There is also a mention of using right triangles with the Pythagorean theorem to easily solve problems with integer solutions. The speakers also mention the process of working backwards to find numbers in a problem.
  • #1
Tyrion101
166
2
I'm starting to get to a point where the numbers are getting sometimes well beyond 3 digits in length and, I'm constantly amazed at the fact that there are usually no decimals anyplace in the actual problem, and I was wondering how long does it take to find questions that don't have decimals in the problem?
 
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  • #2
I don't see why it should take any time at all. How hard can it be to make up problems that have integer solutions?
 
  • #3
If the problem involves right triangles (utilizing the Pythagorean therem, c2 = a2 + b2) then it ends up pretty easy if the triangles are 3-4-5 triangles (52 = 32 + 42).

You can also scale the 3, 4 and 5 by any constant and it still works out. For example, let's multiply them all by 123.

c2 = 3692 + 4922.

Solve for c.
 
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  • #4
A good way is first decide what you want the answer to be, then work backwards to find the numbers in the question.
 
  • #5
phinds said:
I don't see why it should take any time at all. How hard can it be to make up problems that have integer solutions?

Not very hard for those who can easily solve them forwards and back. But for someone first learning, it's an interesting observation. I wonder how many students are shocked the first time they get an answer that has a digits after the decimal, and realize it's a correct answer!
 

FAQ: How long does it take to make homework that comes out even, when there

How long does it take to make homework that comes out even?

The amount of time it takes to make homework that comes out even can vary depending on a number of factors, such as the difficulty of the assignment, the student's understanding of the material, and their level of focus and concentration. It is important to carefully read and understand the instructions and to allocate enough time to complete the homework effectively.

What can I do to make my homework come out even faster?

There are a few things you can do to make your homework come out even faster. These include breaking up your work into smaller, manageable chunks, staying organized, avoiding distractions, and seeking help from a tutor or teacher if needed.

Is it better to work on homework for a long period of time or take breaks?

It is generally recommended to take breaks while working on homework, as this can help improve focus and productivity. Taking short breaks every 20-30 minutes can also prevent burnout and allow for better retention of information.

Can I make my homework come out even if I don't understand the material?

If you are struggling to understand the material, it may be helpful to seek assistance from a tutor or teacher. They can provide additional explanations and guide you through the homework to ensure it comes out even. It is also important to ask questions and clarify any confusion before attempting to complete the assignment.

How can I make sure my homework comes out even every time?

To increase the likelihood of your homework coming out even every time, it is important to stay organized and prioritize your tasks. Additionally, make sure to carefully read and understand the instructions, seek help if needed, and double check your work before submitting it. Practicing good time management and consistently putting in effort can also lead to more consistent results.

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