Euclid’s vital contribution was to gather, compile, organize, and rework the mathematical concepts of his predecessors into a consistent whole, later to become known as Euclidean geometry. In Euclid’s method, deductions are made from premises or axioms.

In the Elements, Euclid deduced the theorems of what is now called Euclidean geometry from a small set of axioms….

Euclid
Born	Mid-4th century BC
Died	Mid-3rd century BC
Known for	Euclidean geometry Euclid’s Elements Euclidean algorithm
Scientific career

Euclid and His Accomplishments He lived lots of his life in Alexandria, Egypt, and developed many mathematical theories. He is most famous for his works in geometry, inventing many of the ways we conceive of space, time, and shapes.

geometry

the Father of Geometry

The first recorded zero appeared in Mesopotamia around 3 B.C. The Mayans invented it independently circa 4 A.D. It was later devised in India in the mid-fifth century, spread to Cambodia near the end of the seventh century, and into China and the Islamic countries at the end of the eighth.

Aryabhata

Answer: 0 is a rational number, whole number, integer, and a real number. Natural numbers are a part of the number system, including all the positive integers from 1 till infinity.

0 (zero) is a number, and the numerical digit used to represent that number in numerals. It fulfills a central role in mathematics as the additive identity of the integers, real numbers, and many other algebraic structures. As a digit, 0 is used as a placeholder in place value systems.

Some Very Big, and Very Small Numbers

Name	The Number	Symbol
septillion	1,000,000,000,000,000,000,000,000	Y
sextillion	1,000,000,000,000,000,000,000	Z
quintillion	1,000,000,000,000,000,000	E
quadrillion	1,000,000,000,000,000	P

Hindu-Arabic numerals, set of 10 symbols—1, 2, 3, 4, 5, 6, 7, 8, 9, 0—that represent numbers in the decimal number system. They originated in India in the 6th or 7th century and were introduced to Europe through the writings of Middle Eastern mathematicians, especially al-Khwarizmi and al-Kindi, about the 12th century.

Because any number that can be divided by two to create another whole number is even. Zero passes this test because if you halve zero you get zero. Zero also has odd numbers either side of it – minus one and one – and so this is another test it passes to be classified as an even number.

Since 1 is not prime, nor does it have prime factors, it is a product of 0 distinct primes; since 0 is an even number, 1 has an even number of distinct prime factors.

2

1

Odd numbers can NOT be divided evenly into groups of two. 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31 are odd numbers.

You can divide 70 by two and if the result is an integer (whole number) then it is an even number. 70 divided by 2 is 35, which is an integer. Therefore, 70 is an even number.

Approach: Largest N-digit even number will be (10n) – 2 because the series for different values of N will be 8, 98, 998, 9998, ….. Similarly, largest N-digit odd number will be (10n) – 1 for the series 9, 99, 999, 9999, …..

72 is an even number.

The odd numbers from 1 to 100 are: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99.

You can divide 90 by two and if the result is an integer (whole number) then it is an even number. Otherwise, it is an odd number. 90 divided by 2 is 45, which is an integer. Therefore, 90 is an even number.

99 is an odd number.

45 divided by 2 is 22.5, which is not an integer. Therefore, 45 is an odd number.

95 is an odd number.

88 divided by 2 is 44, which is an integer. Therefore, 88 is an even number.

59 is an odd number.