Introduction of Inverse property

Introduction to Inverse property of multiplication:

The inverse property is used to represent as when we multiply the term with inverse number of the given term the product of the operation will be equal to 1. the inverse property of multiplication is always denoted as like the division format. It has two parts like the numerator denominator. The numerator will always 1 and the denominator will be what the term which we are going to multiply.

For example

Inverse property of 5 is [1/ 5] , if we multiply the both value we get the constant answer that is 1.

= 5 x [1/5]

= 1.

I hope the above explanation was useful.

Introduction to mathematical reasoning

An introduction to mathematical reasoning:

In this article let us study the introduction and process of mathematical reasoning. In mathematical language there are two kinds of reasoning- inductive and deductive.Let us discuss some fundamentals of deductive reasoning. The basic unit involved in mathematical reasoning is a mathematical statement.Consider the two sentences.

An elephant weighs more than a human being.

Reading books is a bad habit.

When we read these sentences, we immediately decide that the first sentence is correct and the second is false. There is no confusion regarding these. In mathematics such sentences are called a statements.

I hope the above explanation was useful, now let me explain about Trigonometric equations & Linear Functions.

Fractions

How to do fractions:In this Blog let us learn how to do Fractions. Add the two factions [350/8] and [300/8]

Solution:

The given two fractions [350/8] and [300/8]

= [350/8] + [300/8]

= [(350+300)/8]

= [650/8]

This can be simplified has

= 81.25
Definition for Equivalent Fraction:
When two or more fractions which represent the same part of a whole, the fractions are called equivalent fractions.An example of a equivalent fraction can be given with the help of a figure.Hope you like the above example of Equivalent Fraction.Please leave your comments, if you have any doubts.

Divide

How to divide:Division is one basic concept that we cannot ignore,let us learn the key steps involved to solve division.The instructions on how to divide with the example 8765 / 12
Step 1:Divide the group of number into pair from right to left.
87 65
Take the first element in the left hand side.
12) 87 65(
Divide the number by the divisor.Write down the answer in right hand side of the dividend.
12) 87 65(7
Step 2:Multiply the quotient and divisor and write down the answer directly under the dividend then subtract it.
12) 87 65(7
84

--------

3
Step 3:Take the next number in the next pair and again do step one and step two.

12) 87 65(73

84

--------

3 6

3 6

----------

0

Step 4:Carry on the step one, step two and step three until get the reminder as zero.

12) 87 65(73

84

--------

3 6

3 6

----------

0 5

Finally we get the quotient and reminder value.

Here the quotient =73

Reminder =05

Hope you like the above example of How to divide.Please leave your comments, if you have any doubts

Explain Polynomials

Afraid of polynomials ??
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Let us learn about arithmetic sequence and polynomial problems
Polynomial is an equation that is formed by adding or subtracting several variables called monomial. Monomial is a variable that is formed with a number and a letter variable to its powers. The example of monomial is 3X³. You can’t add or subtract monomials if they have different exponents such as 3X³ and 4X⁴. But you can multiply or divide them. To multiply monomials, just add the exponents of the variables and multiply the coefficients. 3X³ x 4X⁴ = 12X⁷.

Here are some additional ways to manipulate the monomials:

* (a^m)ⁿ = a^mn
* (ab)^m= a^mb^m
I hope the above explanation was useful, now let me give you some examples on polynomials.

Adjacent & Vertical angles

Let us study about Adjacent & Vertical angles,

Adjacent angles are any two angles that share a common side separating the two angles and that share a common vertex. In Figure 1 , ∠1 and ∠2 are adjacent angles.

Figure 1

Adjacent angles.

Vertical angles

Vertical angles are formed when two lines intersect and form four angles. Any two of these angles that are not adjacent angles are called vertical angles. In Figure 2 , line l and line m intersect at point Q, forming ∠1, ∠2, ∠3, and ∠4.

Figure 2

Two pairs of vertical angles and four pairs of adjacent angles.

* Vertical angles:
o ∠1 and ∠3
o ∠2 and ∠4
* Adjacent angles:
o ∠1 and ∠2
o ∠2 and ∠3
o ∠3 and ∠4
o ∠4 and ∠1

Theorem 7: Vertical angles are equal in measure.

I hope the above explanation was useful.

Explain Multiples

Let us study about multiples,
Multiples

Multiples of a number are found by multiplying that number by 1, by 2, by 3, by 4, by 5, etc.

Example 1: List the first seven multiples of 9.

9,18,27,36,45,54,63


Common multiples :

Common multiples are multiples that are the same for two or more numbers.

Example 2: What are the common multiples of 2 and 3?
Notice that common multiples may go on indefinitely.
Hope the above explanation helped you.