SOLUTION: hi what is the meanin of this (-30 < -5) and what is the answer of this prime number of (a - 5) (a - 3) thxs ..

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: hi what is the meanin of this (-30 < -5) and what is the answer of this prime number of (a - 5) (a - 3) thxs ..      Log On


   



Question 776979: hi what is the meanin of this (-30 < -5) and what is the answer of this prime number of (a - 5) (a - 3) thxs ..
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
I hope this helps:

You can read -30%3C-5 as "minus 30 is lesser than minus 5."
We graph numbers on a number line, with positive numbers to the right and negative numbers to the left.
It looks sort of like the scale on a thermometer, but horizontal instead of vertical.
Greater (larger) numbers are to the right of lesser (smaller) numbers.
Negative numbers are to the left of zero. They are less than zero.

On a number line, the numbers -30 and -5 are positioned like this:
number_line%28900%2C+-31%2C+4%2C+-30%2C+-5%29
The symbols %22%3C%22 and %22%3E%22 are the same symbol flipped over.
The smaller (pointy) end is drawn pointing to the smaller number, and the wide, open end points to the larger number (the one that is further to the right on the line).
Some examples:
2%3E1, 0%3C3, -5%3C0, and -30%3C-5 or -5%3E-30

%28a-5%29%28a-3%29 is a product (multiplication) of two expressions.
It can be calculated as
%28a-5%29%28a-3%29=a%5E2-3a-5a%2B15=a%5E2-8a%2B15
%28a-5%29 and %28a-3%29 are the factors
a%5E2-8a%2B15 is the product (the result of the multiplication)
You can say that all those expressions are polynomials , although %28a-5%29 and %28a-3%29 seem too small to deserve to be called highlight%28poly%29nomials+ and are usually called highlight%28bi%29nomials. The bi part is because they have just two parts connected by a minus sign.
Sometimes an expression like a%5E2-8a%2B15 is called a highlight%28tri%29nomial rather than a polynomial, because it has exactly 3 parts connected by plus and minus signs.
You can also say that
%28a-5%29%28a-3%29 is the factorization of a%5E2-8a%2B15
Factorizing polynomials like a%5E2-8a%2B15 can get complicated.
It is more complicated to than finding the prime factorization of a number.