# Questions tagged [arithmetic]

Questions on arithmetic operations in Mathematica.

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### Why are numeric division and subtraction not handled better in Mathematica?

There is something that has been troubling me for a while. At least through version 10.0 the performance of a / b and a - b is ...
1k views

### How to prevent reduction of a fraction into lowest terms?

I have a question about the concept of simplification. I want to explain it with an example. When I write the fraction $4/8$ in Mathematica, the output is 1/2. How ...
1k views

### Is there a difference between Divide[a,b] and a/b?

In this comment it was asserted that Divide[a,b] and a/b are different, though the documentation indicates that they are the ...
3k views

### Insert $+$, $-$, $\times$, $/$, $($, $)$ into $123456789$ to make it equal to $100$

Insert $+$, $-$, $\times$, $/$, $($, $)$ into $123456789$ to make it equal to $100$. Looks like a question for pupils, right? In fact, if the available math symbols are limited to addition ($+$), ...
2k views

### Permanently rounding numbers/values to a given number of significant figures

I am searching for a simple way of rounding and setting an input to a desired number of significant figures. There are a vast number of posts that discuss similar problems, but none address this issue....
173 views

### Why does this whole number have a recurring value? [duplicate]

I have a math question which that may seem simple to some but not to me if you where to do the calculation 12.30 * 12 it would equal 147.60 but why is that when I show the answer to more then two ...
329 views

### How does Plus work on machine precision Real arguments?

I thought Kahan's summation method would make a nice example for students to use to think about round-off error [W. Kahan, Pracniques: Further Remarks on Reducing Truncation Errors, Commun. ACM 8  (...
5k views

### Puzzle with Mathematica

Hello everyone, This is a puzzle I got from someone via social media. Basically, we need to fill up the boxes with the numbers 1-9 (no repetitions) that fit the multiplication and addition operations. ...
681 views

### Should 0 * 5ft be 0 or 0ft?

After playing with the new quantity system in Mathematica 9 for a while, I keep stumbling over this issue: 0 * Quantity[1, "Meters"] is not the same as ...
3k views

### Product of elements of a list

Sum is for functions; Total is for a list. Product is for a function; what is the command ... 11k views

### Expressing a decimal as a fraction in lowest terms

How can I express a decimal such as 0.1845095405274387 as a fraction in its lowest terms?
235 views

### Arithmetic operations on NumericArrays

Currently, NumericArrays are directly supported by the most important array-related functions, what makes them a very attractive data structure for implementing ...
2k views

### How to do binary calculation？

For example, $a=0.10101$ in binary representation. Then how to calculate $a^2$ directly in mathematica? Is there any function turning binary into decimal? I only found its inverse...
1 vote
140 views

### Why I'm getting 9999s after decimal and how do I fix it? [duplicate]

Check the screen shot. Why I'm getting 999s? It is suppose to be 127,977.52 Thanks in advance, Quick solution: AccountingForm[58156.48 + 69821.04, 16] And thanks to Yves Klett
232 views

### Arbitrary-Precision Arithmetic behaves unexpectedly

I want to understand how small numerical errors propagate through a computation and may drastically change the final result. To this end, I consider a toy world in which every number is limited to ...
1k views