Multiplication works both ways
`AxxB` is the same as `BxxA`
Any number A multiplied by another number B is the same as B multiplied by A.
This makes many multiplications much easier because, for instance, it is easier to multiply
`2 times 8 = 8 + 8 = 16`
Than `8times2=2+2+2+2+2+2+2+2=16`
Example 1
`8times4=4times8=8+8` then `2times16=32`
Example 2
`6times7=7times6=6times6+6=36+6=42`
Further examples
`2times3` |
`=` |
`3xx2` |
`3xx4` |
`=` |
`4xx3` |
`4xx5` |
`=` |
`5xx4` |
||
`2xx4` |
`=` |
`4xx2` |
`3xx5` |
`=` |
`5xx3` |
`4xx6` |
`=` |
`6xx4` |
||
`2xx5` |
`=` |
`5xx2` |
`3xx6` |
`=` |
`6xx3` |
`4xx7` |
`=` |
`7xx4` |
||
`2xx6` |
`=` |
`6xx2` |
`3xx7` |
`=` |
`7xx3` |
`4xx8` |
`=` |
`8xx4` |
![](/images/user/base/Maths/Logarithms/Reference%20Tables/reference-log-table-1.4df6ee6.jpg)
![](/images/user/base/Maths/Logarithms/Reference%20Tables/reference-log-table-2.d516bb3.jpg)
![](/images/user/base/Maths/Logarithms/Reference%20Tables/reference-anti-log-table-1.b0b0513.jpg)
![](/images/user/base/Maths/Logarithms/Reference%20Tables/reference-anti-log-table-2.f89189d.jpg)