
problem with numbers
For which numbers N, is N*2 greater than 2? In other words, for which numbers N, is N*2>2?
Investigate theis question as follow:
A) Without using a calculator, multiply 2 by the given numbers. Show your work. In each case, determine wheather the resulting product is greater than 2 or not.
3.15, ,1.01, 0.85, 0.002, 0.3, 4.2
4 3/5, 1 2/3, 9/10, 3/5, 7/8, 1 1/8
B) Based on your answers in part a and on th emeaning and rules of multiplication, describe the collection of all numbers N, for which N82 is greater than 2.
Thank you

Well, nobody seems to want to respond to this one, so here goes.
In order for $\displaystyle N\cdot2>2$,
$\displaystyle N<1$
For instance; if $\displaystyle N=\frac{1}{2}$, then $\displaystyle \frac{1}{2}\cdot2=1$ which is greater than 2.
If $\displaystyle N=2$, then $\displaystyle 2\cdot2=2$, which is greater than 2.
So, there you go.
I assume you can multiply 2 times all your sample numbers and compare the products to see if any are greater than 2.
You'll find that 0.85, 0.002, 0.3, 4.2, $\displaystyle \frac{9}{10} , \frac{3}{5} , \frac{7}{8} and 1\frac{1}{8} \$, all conform to the fact that N < 1 is the set of numbers that satisfy your original statement.
