Question:`5358 xx 51`
Answer
`5358 xx (50 + 1)` `=(5358 xx 50) + (5358 xx 1)` =267900 + 5358=273258.
Question:`5358 xx 51`
`5358 xx (50 + 1)` `=(5358 xx 50) + (5358 xx 1)` =267900 + 5358=273258.
Question:`1307 xx 1307`
`=(1307)^2`=`(1300 + 7)^2` `=(1300)^2 + (7)^2 + 2 xx 1300 xx 7` =1690000 + 49 + 18200 =1708249.
Question:Requred digit
=unit digit in the product `(4 xx 8 xx 7 xx 3)`=2
Question:`9 xx 6 xx 4`216.
In order to obtain 2 at the unit place it must be multiplied by a number whose unit digit is 7. So,*must be replace by 7.
Question:Unit digit in `7^4`is 1.`
:.Unit digit in `7^68`is 1. :.Unit digit in `7^71`is 3. `[1 xx 7 xx 7 xx 7` gives unit digit 3] Again,every power of 6 will give unit digit 6. :. Unit digit in `6^59` is 6. Clearly,unit digit in `3^4` is 1. So,unit digit in `3^64` is 1 :.Unit digit in `3^65` is 3. :. Unit digit in `(7^71 xx 6^59 xx 3^65)` is 4. `[3 xx 6 xx 3`gives unit digit 4]`