Editing 7 (section)

===Basic calculations===
{|class="wikitable" style="text-align: center; background: white"
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! style="width:105px;"|[[Multiplication]]
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|'''7 × ''x'''''
|'''7'''
|{{num|14}}
|{{num|21}}
|{{num|28}}
|{{num|35}}
|{{num|42}}
|{{num|49}}
|{{num|56}}
|{{num|63}}
|{{num|70}}
|{{num|77}}
|{{num|84}}
|{{num|91}}
|{{num|98}}
|{{num|105}}
|{{num|112}}
|{{num|119}}
|{{num|126}}
|{{num|133}}
|{{num|140}}
|{{num|147}}
|{{num|154}}
|{{num|161}}
|{{num|168}}
|{{num|175}}
|{{num|350}}
|{{num|700}}
|{{num|7000}}
|}

{|class="wikitable" style="text-align: center; background: white"
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! style="width:105px;"|[[Division (mathematics)|Division]]
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|'''7 ÷ ''x'''''
|'''7'''
|3.5
|2.{{overline|3}}
|1.75
|1.4
|1.1{{overline|6}}
|rowspan=2 |[[1]]
|0.875
|0.{{overline|7}}
|0.7
|0.{{overline|63}}
|0.58{{overline|3}}
|0.{{overline|538461}}
|0.5
|0.4{{overline|6}}
|-
|'''''x'' ÷ 7'''
|0.<span style="text-decoration:overline">142857</span>
|0.<span style="text-decoration:overline">285714</span>
|0.<span style="text-decoration:overline">428571</span>
|0.<span style="text-decoration:overline">571428</span>
|0.<span style="text-decoration:overline">714285</span>
|0.<span style="text-decoration:overline">857142</span>
|1.<span style="text-decoration:overline">142857</span>
|1.<span style="text-decoration:overline">285714</span>
|1.<span style="text-decoration:overline">428571</span>
|1.<span style="text-decoration:overline">571428</span>
|1.<span style="text-decoration:overline">714285</span>
|1.<span style="text-decoration:overline">857142</span>
|{{num|2}}
|2.<span style="text-decoration:overline">142857</span>
|}

{|class="wikitable" style="text-align: center; background: white"
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! style="width:105px;"|[[Exponentiation]]
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|'''7<sup>''x''</sup>'''
|'''7'''
|{{num|49}}
|{{num|343}}
|2401
|16807
|117649
|823543
|5764801
|40353607
|282475249
|1977326743
|13841287201
|96889010407
|-
|'''''x''<sup>7</sup>'''
|[[1]]
|{{num|128}}
|2187
|16384
|78125
|279936
|823543
|2097152
|4782969
|{{num|10000000}}
|19487171
|35831808 
|62748517
|}

====Decimal calculations====

{{num|999,999}} divided by 7 is exactly {{num|142,857}}. Therefore, when a [[vulgar fraction]] with 7 in the [[denominator]] is converted to a [[decimal]] expansion, the result has the same six-[[numerical digit|digit]] repeating sequence after the decimal point, but the sequence can start with any of those six digits.<ref>Bryan Bunch, ''The Kingdom of Infinite Number''. New York: W. H. Freeman & Company (2000): 82</ref> In [[decimal]] representation, the [[Multiplicative inverse|reciprocal]] of 7 repeats six [[Numerical digit|digits]] (as 0.{{overline|142857}}),<ref>{{Cite book |last=Wells |first=D. |url=https://archive.org/details/penguindictionar0000well_f3y1/mode/2up |title=The Penguin Dictionary of Curious and Interesting Numbers |publisher=[[Penguin Books]] |year=1987 |isbn=0-14-008029-5 |location=London |pages=171–174 |oclc=39262447 |url-access=registration |s2cid=118329153}}</ref><ref>{{Cite OEIS|A060283|Periodic part of decimal expansion of reciprocal of n-th prime (leading 0's moved to end).|access-date=2024-04-02}}</ref> whose sum when [[Cyclic number#Relation to repeating decimals|cycling]] back to [[1]] is equal to 28.