CPhill

245 factors as   49 * 5   =   7 * 7 * 5

This shouldn't be too surprising.....note

10^[ (3n /10) ] =    [10^(3/10)]^n   ≈    [1.9956 ]^n      which is very close to 2^n

Note that when n = 2...... [10^(3/10)]^n / 2^n  ≈ .995

Note that when n = 10...... [10^(3/10)]^n / 2^n  ≈ .9766

So.......there is less than a 3% difference in the results when   0 ≤ n ≤ 10

4.13×10^-8×0.04×10^5

Since we can multiply in any order, rearrange this as

4.13 * 0.04 * 10^-8 * 10^5   = 

0.1652  *  10^-3  =

1.652 x 10-4     [ in scientific notation ]

78 - 5 x 9 + 5      multiplication/division  takes precedence over addition/subtraction as we move from left to right

So......we want to first multiply  5 x 9 = 45   .....so we have

78 - 45 + 5      now....just add/subtract as normal

33 + 5 =

38

The 50th term is found by :   11.4 - 2.3(50-1)  = -101.3

And the sum is given by   :  (Number of terms)* [  50th term + 1st term] / 2  =    50 * [ -101.3 + 11.4] / 2 = -2247.5

a^2 + 7^2  = 25^2

a^2 + 49  = 625    subtract 49 from both sides

a^2 = 576    if we're assuming that "a" must be positive, take the positive square root of both sides

a = √576  =   24

6 / (2/3)   =

(6/1)  / (2/3)    invert the second fraction and multiply

(6/1) * ( 3/2)  =

18 / 2   = 

9

Yep....you're there...... Congratulations.....!!!!

Thanks, Guest......it can also be thought of as the distance from a real number to 0.....for instance...

l -3 l   =  3   because -3 is 3 units from 0

or

l 3 l   = 3    because 3 is 3 units from 0

7 * 12 + 8    =  84 + 8  = 92 eggs