ScientificNotationThreshold
✖
ScientificNotationThreshold
is an option for NumberForm and related functions that specifies the threshold between the use of decimal notation and scientific notation to represent real numbers.
Examples
open allclose allBasic Examples (2)Summary of the most common use cases
This number is shown by default in scientific notation:

https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-ow107i

Increase the upper threshold to 109 to show it still in decimal form:

https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-pniixh

This number is shown by default in scientific notation:

https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-r4wegd

Decrease the lower threshold to 10-8 to show it still in decimal form:

https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-nwtvrb

Scope (2)Survey of the scope of standard use cases
Use ScientificNotationThreshold with NumberForm:

https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-svic02


https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-xmvcml


https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-mhg1t1


https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-mot2wc


https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-bnmlfp


https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-l80xzj


https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-lzc7b8


https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-ny0vc8


https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-polot2


https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-oqm0gw


https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-9h1eow


https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-564jly

For any base b, positive real numbers larger than b-5 and smaller than or equal to b6 are typeset in decimal form:

https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-uv1haj

These are pairs {b6-1,b6} for bases b from 2 to 17, showing the threshold at exponent 6:

https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-yr4g3a

Raising the threshold to exponent 7 makes powers b6 be displayed in decimal form, for all bases:

https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-wqb37g

Properties & Relations (1)Properties of the function, and connections to other functions
The functions related to NumberForm have different defaults for ScientificNotationThreshold:

https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-i4wo41

https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-iahldm


https://wolfram.com/xid/0d2nbj0uvjx84t0sv3ceht-e617wb

Wolfram Research (2017), ScientificNotationThreshold, Wolfram Language function, https://reference.wolfram.com/language/ref/ScientificNotationThreshold.html.
Text
Wolfram Research (2017), ScientificNotationThreshold, Wolfram Language function, https://reference.wolfram.com/language/ref/ScientificNotationThreshold.html.
Wolfram Research (2017), ScientificNotationThreshold, Wolfram Language function, https://reference.wolfram.com/language/ref/ScientificNotationThreshold.html.
CMS
Wolfram Language. 2017. "ScientificNotationThreshold." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ScientificNotationThreshold.html.
Wolfram Language. 2017. "ScientificNotationThreshold." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ScientificNotationThreshold.html.
APA
Wolfram Language. (2017). ScientificNotationThreshold. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ScientificNotationThreshold.html
Wolfram Language. (2017). ScientificNotationThreshold. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ScientificNotationThreshold.html
BibTeX
@misc{reference.wolfram_2025_scientificnotationthreshold, author="Wolfram Research", title="{ScientificNotationThreshold}", year="2017", howpublished="\url{https://reference.wolfram.com/language/ref/ScientificNotationThreshold.html}", note=[Accessed: 21-June-2025
]}
BibLaTeX
@online{reference.wolfram_2025_scientificnotationthreshold, organization={Wolfram Research}, title={ScientificNotationThreshold}, year={2017}, url={https://reference.wolfram.com/language/ref/ScientificNotationThreshold.html}, note=[Accessed: 21-June-2025
]}