A collection of mathematical formulas, complete with explanations
You can use the collection of mathematical formulas in this article to work on math problems from elementary, middle, to high school.
Mathematics has been around since the days of hunter-gatherers. In ancient times, our ancestors used Mathematics to add, subtract and divide food.
Citing the eni.com page, Mathematics began to be taken seriously since the emergence of the Pythagorean Theorem which was discovered by Pythagoras (570-495 BC).
Pythagoras is considered the father of world mathematics, because he has found a very diverse mathematical formula. Since then, many mathematicians have emerged and discovered various other formulas.
For example, Arhimedes with the formula for the volume of a spherical shape, Pierre de Fermat with his calculus formula, to scientists today.
Collection of Elementary to High School Mathematics Formulas
The use of mathematical formulas is very important in everyday life. With the mathematical formula, it can facilitate daily work.
Without Mathematics, the development of the world of technology would not be what it is today. The following is an explanation of a collection of mathematical formulas:
1. Perimeter and Area Formulas of Flat Shapes
*Rectangular
Perimeter = (2 x length) + (2 x width)
Area = length x width
*Rectangle
Perimeter = 4 x side
Area = side x side
*Triangle
Perimeter = side + side + side
Area = 1/2 x base x height
*Parallelogram
Perimeter = (2 x a) + (2 x b)
Area = base x height
*Trapezoid
Perimeter = a + b + c + d
Area = 1/2 x number of parallel sides x height
*Kite
Perimeter = 2(a + b)
Area = 1/2 x D1 x D2
*Circle
Perimeter = x diameter or 2 x x radius
Area = x radius x radius; where is equal to 22/7 or 3.14
2. Volume Building Formulas
Volume of rectangular rectangular prism = length x width x height
Volume of cube = side x side x side
Volume of triangular prism = 1/2 x length x width x height
Volume of the cylinder = x radius x radius x height
Volume of cone = 1/3 x x radius x radius x height
3. Profit and Loss Formula
Percentage of profit = (profit/purchase price) x 100%
Percentage of loss = (loss/purchase price) x 100%
Gross = net + tara
Net = gross – tara
Tara = gross – net
Tara = percent tare x gross
Net price = net x price/unit weight
4. Gradient Formula
The gradient of the line that passes through the points (0,0) and (x, y) is m = y/x
The gradient of the line that passes through the points (x1, y1) and (x2, y2) is m = (y2 - y1)/(x2 - x1)
The gradient of the line parallel to the x-axis is 0.
The gradient of a line parallel to the y-axis is not defined.
The gradient of two parallel lines is m1 = m2.
The gradient of two perpendicular lines m1 x m2 = -1
5. Formulas for Sets and Series
The nth term formula for an arithmetic sequence Un = a + (n – 1)b
The nth term formula for a geometric sequence Un = ar^(n – 1)
Number of nth terms of arithmetic series Sn = n/2 (n + Un)
The collection of Mathematical formulas above is the basis of Mathematical formulas for the next stage. By understanding the mathematical formula above, it will be very helpful in terms of working on math problems.