how to find cube of1.015 using shortcuts and without calci
Hello, Supreeth!
I'd do it like this . . .How to find cube of1.015 using shortcuts and without calci
$\displaystyle \left(1 + \frac{15}{10^3}\right)^3 \;=\;1^3 + 3(1^2)\left(\frac{15}{10^3}\right) + 3(1)\left(\frac{15}{10^3}\right)^2 + \left(\frac{15}{10^3}\right)^3 $
. . . . . . . .$\displaystyle = \;1 + \frac{45}{10^3} + \frac{675}{10^6} + \frac{3375}{10^9} $
. . . . . . . .$\displaystyle = \;1 + 0.045 + 0.000675 + 0.000003375$
. . . . . . . .$\displaystyle = \;1.045678375$
There are other methods, too, if you're interested.