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 N8-2 is greater than -2.
Well, nobody seems to want to respond to this one, so here goes.
In order for ,
For instance; if , then which is greater than -2.
If , then , 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, , all conform to the fact that N < 1 is the set of numbers that satisfy your original statement.