Question

What is `33 * 14 =` ?

Answer 1

`462`

Explanation:

`33 *14 = 33 xx14`

You can multiply using normal long multiplication:

`" " 33`
`"xxul14`
`" "132`
`" "ul330`
`" "462`

Or you can do it by mental arithmetic and play around with the numbers and their factors.

`33 xx 14 = 3xx11xx2xx7`

Re-arrange the numbers. Multiplication by `2` is easy - do it last.

`" "3xx7xx11 " "xx2`
`=21xx11" "xx2`
`=231 xx2" "rarr` see below for a quick method
`=462`

Or another option:

`" "3xx2xx7" "xx11`
`= 42" " xx11`
`= 462`

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
There is a very useful short cut for multiplying by `11`

`35 xx 11 = 3" "5" "larr` open the `35`

Add the `35" "larr 3+5=8`

Write `8` in the space`" "rarr 385" "`Voila!!

`43 xx 11 = 473`

If the sum is more than `10`, write down the unit value and 'carry' the `1` as usual

`48 xx 11:" "rarr 4+8 = 12`

`4^1 28" "rarr 528`