Changing Numbers To Prescribed Values Under Special Limitations

• allo
In summary, the conversation discusses the possibility of changing a number's last digit and decimal value using only the number itself, a desired digit, and basic arithmetic operators. One method suggested is to use the number's modulus, but it is noted that this may not always be possible. Another suggestion is to find integers that can be used to manipulate the number, such as adding or subtracting multiples of the number to get the desired result. The use of a constant, specifically z/x, can also make the task easier.
allo
x=1825+91/1217

y=7+2/3

z=1827+2/3

Is there any way to turn x into z only using the first two terms, andor a constant, and the operators ' + ', ' - ', ' * ', ' / '.

I know I can take ((x)-(x mod 10)) + y = z, but this uses a modulus.

... Basically the core of the question is can I change any number's last digit and its decimal value to something I decide by only using the number itself and the desired digit and decimal?

I feel like splitting the numerator and denominator and running independent operations on each might be the way to go.

Last edited:
1217x = 2221116
3y = 23
As those do not have a common divisor (apart from 1), you can find integers q,r, such that qx+ry=1. That can be written with a long series of "x+x+x+... -y-y-y-..." (or vice versa), of course, so you do not need q and r.
In the same way, you can get 1820. Add y and you are done.

andor a constant
? If you can use the constant z/x, it is easy.

What is the purpose of changing numbers to prescribed values under special limitations?

The purpose of changing numbers to prescribed values under special limitations is to ensure that data and calculations are accurate and reliable. Special limitations may include factors such as maximum or minimum values, specific units of measurement, or other constraints that must be considered when converting numbers.

What are some common examples of special limitations when changing numbers to prescribed values?

Some common examples of special limitations when changing numbers to prescribed values include temperature ranges, speed limits, weight restrictions, and conversion between different measurement systems (e.g. metric to imperial).

How do scientists determine the appropriate prescribed values to use in their calculations?

Scientists must carefully consider the limitations and requirements of their experiments or studies when determining the appropriate prescribed values to use in their calculations. This may involve consulting established guidelines or standards, conducting research, or consulting with other experts in the field.

What are the potential consequences of not adhering to special limitations when changing numbers to prescribed values?

If special limitations are not carefully considered and followed when changing numbers to prescribed values, it can result in inaccurate or misleading data. This can lead to faulty conclusions and potentially compromise the validity and reliability of the scientific research or experiment.

Are there any tools or resources available to assist scientists in changing numbers to prescribed values under special limitations?

Yes, there are various tools and resources available to assist scientists in changing numbers to prescribed values under special limitations. These may include conversion charts, calculators, software programs, and scientific databases that provide accurate and reliable information for specific limitations and conversions.

• General Math
Replies
1
Views
1K
• General Math
Replies
4
Views
929
• General Math
Replies
3
Views
780
• General Math
Replies
5
Views
2K
• General Math
Replies
12
Views
2K
• General Math
Replies
3
Views
1K
• General Math
Replies
13
Views
2K
• General Math
Replies
4
Views
1K
• General Math
Replies
1
Views
1K
• Calculus and Beyond Homework Help
Replies
32
Views
2K