Questions tagged [rounding-unit]

44 questions
7
votes
3 answers

What is the function for "round n to the nearest m"?

Where $n \in \mathbb{R}$ and $m \in \mathbb{R}$, what is the function $f(n, m)$ that can achieve rounding behavior of money where the smallest denomination is not an power of ten? For instance, if a 5¢ coin is the smallest denomination (like in…
Ky -
  • 1,300
6
votes
2 answers

Does $2.4\overline{9}$ round to $2$ or $3$?

Does $2.4\overline{9}$ round to $2$ or $3$ when rounded to the nearest whole number? When rounding to one digit, we generally only take the first decimal space, which in this case is $4$. So on that front, it should round to $2$. However,…
1
vote
1 answer

Solve for range of $y$ in $x = \operatorname{round}(y + c)$

Suppose I have $$ x = \operatorname{round}(y + c) \\ $$ I want to solve for $y$, though it's not really possible in this case. Is it possible to get $y$ as a range of values based on some lower and upper bound where those bounds are dependent on…
24n8
  • 1,455
1
vote
1 answer

Should x.5 rounded to x or x+1?

Say you have 300.5 dollars to pay as tax. Is there a mathematical concept that says rounding to 300 is better than 301 ?
1
vote
5 answers

Should I round a decimal number of people up or down?

The maths question below is asking me to find the number of people. I have found the answer to be $57553.0834$, but obviously there can't be $0.0834$ of a human. The mark scheme states the answer is $57553$ as it's been rounded to the nearest…
0
votes
1 answer

the meaning of the words "either ... or " in math problems.

Use the digits shown on the number cubes below exactly one time each to create a four digit number than can be rounded to either 3,000 or 3,200.
0
votes
2 answers

Problem with greatest possible value,i know this is right but why?

It is said that greatest possible value of $380$ (2 s.f rounded) is $385$,and least one is $375$. How this is possible? if i try to round $385$ (2 s.f) it should be $390$. As the least possible value of $390$ is $385$. How can i resolve these…
Noman
  • 193