You would be in mathematics 8.
Not algebra 1, that's 9th grade.
Pythagorean Thereom: The Pythagoras theorem which is also sometimes referred the Pythagorean theorem is the most important formula of a geometry branch. According to Pythagoras, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle. In this lesson, you will learn about the Pythagoras theorem, its derivations, and equations followed by solved real-world problems on the Pythagoras theorem triangle and squares. The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. In the given triangle ABC, we have BC2 = AB2 + AC2. Here, AB is the base, AC is the altitude or the height, and BC is the hypotenuse. Pythagoras theorem equation helps you to solve right-angled triangle problems, using the Pythagoras equation: c2 = a2 + b2 ('c' = hypotenuse of the right triangle whereas 'a' and 'b' are the other two legs.). Hence, any triangle with one angle equal to 90 degrees will be able to produce a Pythagoras triangle. We can use this Pythagoras equation: c2 = a2 + b2 there. Pythagoras theorem was introduced by the Greek Mathematician Pythagoras of Samos. He was an ancient Ionian Greek philosopher. He started a group of mathematicians who works religiously on numbers and lived like monks. Finally, the Greek Mathematician stated the theorem hence it is called by his name as the "Pythagoras theorem." Though it was introduced many centuries ago its application in the current era is obligatory to deal with pragmatic situations. Although Pythagoras introduced and popularised the theorem, there is sufficient evidence proving its existence in other civilizations, 1000 years before Pythagoras was born. The oldest known evidence dates back to between 20th to 16th Century B.C in the Old Babylonian Period. The Pythagoras theorem formula states that in a right triangle ABC, the square of the hypotenuse is equal to the sum of the square of the other two legs. If AB, BC, and AC are the sides of the triangle, then: BC2 = AB2 + AC2. While if a, b, and c are the sides of the triangle, then c2 = a2 + b2. In this case, we can say that AB is the base, AC is the altitude or the height, and BC is the hypotenuse.
Scientfic Notation:
Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56 × 107. It is a form of presenting very large numbers or very small numbers in a simpler form. The scientific notation helps us to represent the numbers that are very huge or very tiny in a form of multiplication of single-digit numbers and 10 raised to the power of the respective exponent. The exponent is positive if the number is very large and it is negative if the number is very small. Let's understand the scientific notation formula.A scientific notation is a form of writing a given number, an equation, or an expression in a form that follows certain rules. Writing a large number like 8.6 billion in its number form is not just ambiguous but also time-consuming and there are chances that we may write a few zeros less or more while writing in the number form. So, to represent very large or very small numbers concisely, we use scientific notation. The general representation of scientific notation or scientific notation formula is given as:
a × 10b ; 1 ≤ a < 10
'a' represents any number between 0 to 10 ( greater than 0 and lesser than 10)where, To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.
If the given number is multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive.
Example: 8000 = 8 × 103 is in scientific notation.
If the given number is smaller than 1, then the decimal point has to move to the right, so the power of 10 will be negative.
Example: 0.0005 = 5 × 0.0001 = 6 × 10-4 is in scientific notation.
