# how to find cube of1.015 using shortcuts and without calci

• Apr 13th 2009, 10:50 PM
Supreeth
how to find cube of1.015 using shortcuts and without calci
how to find cube of1.015 using shortcuts and without calci
• Apr 14th 2009, 06:12 AM
Soroban
Hello, Supreeth!

Quote:

How to find cube of1.015 using shortcuts and without calci
I'd do it like this . . .

$\displaystyle \left(1 + \frac{15}{10^3}\right)^3 \;=\;1^3 + 3(1^2)\left(\frac{15}{10^3}\right) + 3(1)\left(\frac{15}{10^3}\right)^2 + \left(\frac{15}{10^3}\right)^3$

. . . . . . . .$\displaystyle = \;1 + \frac{45}{10^3} + \frac{675}{10^6} + \frac{3375}{10^9}$

. . . . . . . .$\displaystyle = \;1 + 0.045 + 0.000675 + 0.000003375$

. . . . . . . .$\displaystyle = \;1.045678375$

• Apr 14th 2009, 09:12 AM
Supreeth
oh thank u. tat was really helpful
thx.. its really is a short easier method
• Apr 15th 2009, 05:27 AM
stapel
There are other methods, too, if you're interested. (Wink)
• Apr 15th 2009, 06:04 AM
Supreeth
i asked to kno bout findin cubes, not cube roots
i asked for cubes not cube roots
• Apr 15th 2009, 06:19 AM
stapel