Elementary Math Methods

Introduction for elementary math methods:

Elementary math methods cover all the basic operations and function in algebra topic. The elementary math is the main part covered arithmetic. All the basic operation is presented in this area. This is covering all basic operation of addition multiplication, subtraction, and division. The elementary math methods cover kindergarten level to middle school level. This methods also helps to solve real life problems.

Example: 3x+ 2 = 10

Elementary Math Methods Cover

Elementary algebra lessons are contain this basic methods

Arithmetic Operations:

The real numbers have the following properties:

a + b= b +  a    ab  = ba                            (Commutative Law)

(a+ b)+ c= a+ (b + c)      (ab)c = a(bc)        (Associative Law)

a+(b +c)= ab +ac                                       (Distributive law)

Fractions:

To add two fractions numbers with the same denominator, we use the Distributive Law property:

` a/b+c/b` = `1/(b*a)` +`1/(b*c)`   =`1/(b(a+c))`   =`(a+c)/b`

To add two fraction with different denominators, we use a frequent denominator:

`a/b+c/d` =  `(ad+bc)/(bd)`

Factoring

Here we can make use of Distributive Law to expand certain algebraic conditions. In rare case we need to repeal this method (again using the Distributive Law) by factoring an expression as a product of simpler ones. The easiest condition occurs when the given expression has a common factor as given below,

3x(x-2)=3x2 – 6

Example Problems i Elementary Math Methods

Which is the larger number -13 or -16?

Solution:

The large number in the negative signed numbers we considered, which number is zero to negative side have been going that numbers small number. And near to zero numbers are called large numbers

-16,-15,,-14,-13,-12,-111,-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0

so,-13 is larger than -16.

2. List all the integers between -2 and 4.

Solution:

-2,-1, 0, 1,2,3,4 these number are present in the -2 ,4

The -2, 4 between numbers are -1,0,1,2,3

3. x-4=8?

We add +4 on both sides

x=8+4

x=12

4. Simplify 8 `-:` ` 2/3` ?

Solution:

We divide the given equation this is simple method the division inverse of multiplication

8

4*3   = 12

5. Reduce `14/35` .?

Solution:

`14/35`

We divide 7 on both sides

`2/5`

6.12x=4?

Solution:

x=`4/12`

x=`1/3`

7. Factorize the given expression x2-9   ?\

Solution;

The general form of

(a2-b2)=(a-b)(a+b)

So, x2-9=  (x-3)(x+3)

8. Simplify `1/2` + `2/3` ?

Solution   :

`1/2` + `2/3`

We take L.C. M   on 2, 3   

`(1*3)/(2*3)` +`(2*2)/(3*2) `

=`3/6` +`4/6`  =`(3+4)/6`

=`7/6`

9. 3X+4y=5x-2y ?

Solution:

4Y+2y=5x-3x

6y=2x

y=`(2x)/6`

y=`x/3`