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Showing posts from January, 2022

### Triangle

Triangle Welcome visitors.. In this post, we will explain about triangle. The following is the definition of a triangle. One of the basic shapes in geometry is a polygon with three ends and three vertices. The formula for the perimeter of a triangle Given a triangle with sides $a$, $b$, and $c$. Then the perimeter of the triangle is $k=a+b+c$. Types of triangles * Any triangle * Right triangle * Isosceles triangle * equilateral triangle Any Triangle is a triangle whose three sides are different lengths. Right Triangle is a triangle in which one angle is a right angle ($\displaystyle \frac{1}{2} \pi$ radians). Isosceles Triangle is a triangle with two sides the same length. equilateral Triangle is a triangle whose all sides are the same length. The formula for the area of ​​a triangle $$L=\sqrt{s(s-a)(s-b)(s-c)}$$ or $$L=\frac{1}{2}ab.\text{sin }C$$ or $$L=\frac{1}{2}ac.\text{sin }B$$ or $$L=\frac{1}{2}bc.\text{sin }A$$ Where: $L$: area of triangle.

Welcome visitors, On this occasion will be discussed about the material quadratic equations. Quadratic equations are equations with the general form: $$ax^2+bx+c=0$$ where $a, b, c$ are real numbers and $a$ are not zero. The coefficient $x^2$ is called the initial value, the coefficient $x$ is called the middle value and the constant is called the final value. The way to solve this is by factoring and using the abc formula. Example 1: Find the square root of $x^2+3x+2=0$. Answer: We use the factoring method, in this factoring method the initial value must be 1, if not 1 then the final value becomes $ac$ and the initial value becomes 1, then find 2 numbers whose product is the final value and the result is the middle value, after getting two that number then divide by the value $a$. So that we get: $$(x+1)(x+2)=0$$ $x=-1$ and $x=-2$. Example 2: Find the square root of $15x^2-2x-24=0$. Answer: The equation becomes: $$x^2-2x-360=0$$ $$(x+18)(x-20)=0$$ $x=-18$ an

### One Variable Linear Equation

One Variable Linear Equation is an open mathematical sentence with one variable. The general form of a one-variable linear equation is ah+b=ch+d, where h is the variable, a, b, c and d are real numbers. As a real example, there is water in 1/2 part of a bowl that will be filled with 100 ml will become 2/3 parts of water in a bowl, this sentence when written in mathematical form becomes 1/2 m + 100 = 2/3 m, with a value m unit ml. From the real example above, the equation obtained is called a one-variable linear equation, which means an equation whose variable is to the power of 1 and only has one variable. To solve this is very easy, the method is: find the variable term on the left and find the constant on the right, then easily get the value of the variable. The moving term will change the + sign to - and vice versa.  As an example, in the above equation 1/2 m+100=2/3m, we move 2/3m and 100 to: 1/2m-2/3m=-100 -1/4m=-100 m=400 So, the capacity of the bowl is 400 ml.  Thus a short p

### Distributive Properties of Numbers

The distributive property of numbers is the property where more than one term is enclosed in parentheses and multiplied by another term. For more details, consider the following form: Example first form a.(b+c) Example second form (-de+3)(h-j+bk+mnp)(x+z) The formulation of its nature is by multiplying the whole of the existing terms. In the first form, the formula is a.b+a.c. In the second form is -de.h.x-de.h.z-de.-j.x-de.-j.z and so on. You can try it with numbers. Example 1: 2.(3+4)=2.3+2.4=6+8=14 Example 2: (-1+3)(5-2)(7+8)=-1.5.7-1.5.8-1.-2.7-1.-2.8+3.5.7+3.5.8+3.-2.7+3 .-2.8=-35-40+14+16+105+120-42-48 This is an explanation of the distributive property. See you in another post.

### What are rational numbers?

How are you, readers of the mathematic.my.id blog?  On this occasion, the author will explain about rational numbers. A rational number is a number in the form a/b where b is not zero. Rational numbers include whole numbers and fractions.  Example:  4/2=2 (integer)  5/7 (fractional number).  Read also:  Irrational Numbers Thus a brief explanation of rational numbers.

### What are irrational number?

Welcome visitors to the mathematic.my.id blog,,  In this post, we will explain about irrational numbers clearly.  Irrational numbers are numbers in the form of roots, roots to the power of 3, 4, ... where the value is not an integer. Example: sqrt(2), sqrt[3](7), sqrt[6](15) and so on.  Thus this short post. See you in another post.

### Prime Number

Welcome visitors to the mathematic.my.id blog,, On this occasion we will discuss about prime numbers. A prime number is a number whose multiplier is 1 and the number itself.  The prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41 and so on. Finding the largest prime number is a project in both mathematics and applied mathematics. Finding the largest prime number becomes a competition that can only be found with computer applications.  This is a brief explanation of prime numbers.

### Special Fractions

Welcome blog visitors.  In this post, we will discuss about special fractions.  Special fractions are fractions whose values ​​are 1/2, 1/3, 1/4, 1/5, 1/8, 1/16 and the multiplication of fractions with integers.  Example:  Special fraction: 1/2; 3/2; 1/5; 7/5 and so on.  Thus a brief review of special fractions.

### FPB (The greatest common divisor)

FPB Welcome visitors.. In this post, we will explain about FPB in mathematics. FPB stands for The greatest common divisor is an operation that processes two or more non-zero integers, the process is to find the largest integer divisor (> 1) on each number so that each number cannot be divided by a number together with a number (> 1). There are 2 ways in the FPB process: Find the factors of each number starting from the number 1 to the number itself so that the greatest common factor is obtained. Converting each number to prime multiplication form, the result is by the rule: the same number written once, the same number and power is taken to the smallest power, and a different number it is not written. All the same numbers must be in every member. Example 1: Find FPB(4, 6) in the first way. Solution: Factor 4: 1, 2, 4. Factor 6: 1, 2, 3. So, FPB(4, 6)=2. Example 2: Find FPB(4, 8) in the first way. Solution: Factor 4: 1, 2, 4. Factor 8

### Power of Numbers

Power of Numbers Welcome visitors.. In this post, we will explain about power of numbers. The properties of exponents of numbers are as follows: $$* \quad a^b.a^c=a^{b+c}$$ $$* \quad \frac{a^b}{a^c}=a^{b-c}$$ $$* \quad a^m.b^m=(a.b)^m$$ $$* \quad (a^b)^c=a^{b.c}$$ $$* \quad a^{\frac{b}{c}}=\sqrt[c]{a^b}$$ Example 1: Prove that $a^0=1$ Solution: From nature $\displaystyle \frac{a^b}{a^c}=a^{b-c}$, we take the value $b=c=d$ so that $$\frac{a^b}{a^c}=a^{b-c}$$ $$\frac{a^d}{a^d}=a^{d-d}$$ $$1=a^0$$ (proven). Example 2: Prove that $\displaystyle \sqrt{a}.\sqrt{b}=\sqrt{a.b}$. Solution: From nature $\displaystyle a^{\frac{b}{c}}=\sqrt[c]{a^b}$ and $\displaystyle a^m.b^m=(a.b)^m$ so that $$\sqrt{a}.\sqrt{b}=a^{\frac{1}{2}}.b^{\frac{1}{2}}$$ $$=(a.b)^{\frac{1}{2}}=\sqrt{a.b}$$ (proven). This is an explanation of the power of numbers. Bye and thank you.

### Commutative Properties of Numbers

The commutative property is the property where the exchange position of a number will have the same value.  This property only applies to addition and multiplication operations.  For more details see the following example:  Example 1:  1+2+3=3+2+1=3+1+2=2+1+3=2+3+1=1+3+2.  Example 2:  5 - 2 = - 2 + 5 (-2 is a negative number). Example 3:  3 x 5 = 5 x 3  Example 4:  -5 x 3 = -3 x 5 (the - sign is concatenated with the invisible x operation).  It can be written: -5 x 3 = - x 5 x 3.  Read more: Communitative Properties of Number This is an explanation of the commutative property. The explanation above is very clear and does not mince words.

### What is a number?

In mathematics, a number is a value that we everyday call a number. Why not just call it numbers?, because identical numbers are only 1, 2, 3, and so on.  Numbers are broadly divided into two types, the first real numbers (real numbers) and imaginary numbers (imaginary numbers).  Real numbers are numbers in the form a/b ( rational number)   and sqrt[c](d) (irrational number) where b is non-zero and  the result of sqrt[c](d) is not an integer.  Whereas,  An imaginary number is a number in the form sqrt(d) where d is a negative number.  From the explanation above it should be clear. This is a general explanation of numbers.