The word algebra is not only used for naming an area of mathematics and some subareas it is also used for naming some sorts of algebraic structures, such as an algebra over a field, commonly called an algebra.

There are many areas of mathematics that belong to algebra, some having 'algebra' in their name, such as commutative algebra, and some not, such as Galois theory.

Linear algebra, which deals with linear equations and linear mappings, is used for modern presentations of geometry, and has many practical applications (in weather forecasting, for example). Abstract algebra is the name given, mostly in education, to the study of algebraic structures such as groups, rings, and fields. Įlementary algebra deals with the manipulation of variables (commonly represented by Roman letters) as if they were numbers and is therefore essential in all applications of mathematics. Check the button before you ask a question because it says what I am saying here but with equations instead of words.The quadratic formula expresses the solution of the equation ax 2 + bx + c = 0, where a is not zero, in terms of its coefficients a, b and c.Īlgebra (from Arabic ‏ الجبر‎ ( al-jabr) 'reunion of broken parts, bonesetting' ) is the study of variables and the rules for manipulating these variables in formulas it is a unifying thread of almost all of mathematics. Now we just need to do some simple arithmetic. You will see that we will get the same number every time because the small number increases by 9 and the big number decreases by 9.ģ. We get this number 225 times because after are used we go to the next numbers. Next we add the smallest and biggest numbers together. (Wow what are the chances of getting such a nice number😮)Ģ.

This gives us 449 but we must remember that at the beginning we took out the 11, so we have 450 total numbers. Then we get 4041, Next we divide by 9 because that is the increments that this is increasing by. So because we start at 11 we subtract 11 from 4052. Find the number of total numbers in the equation. In order to solve this series we have to make pairs.ġ.

Khan academy arithmetic