1. ## Question

Determine the number of digits in the expansion of (2^120)(5^125) without using a calculator or computer.

and

a) Given the function f(x) = x^3 = 2x , sketch y=f(|x|).

b) Sketch g(x) = |x^2 - 1| - |x^2 - 4|

c) Sketch the region in the plane to show all points (x,y) such that |x| + |y| < or equal to 2.

Thanx guys

2. Originally Posted by ballaholic8
Determine the number of digits in the expansion of (2^120)(5^125) without using a calculator or computer.

...
Split the product into:

$\displaystyle (2^{120})(5^{125}) = (2^{120})(5^{120})(5^5)= 10^{120} \cdot 3125$

Now you can easily dtermine the number of digits. (I've got 124)