The positional notation system that allows for efficient computation without an abacus was developed by Indian mathematicians, with significant contributions from Brahmagupta in the 7th century and later by Bhaskara II in the 12th century. This system uses a place value system and the concept of zero, which greatly simplified arithmetic operations. It was later transmitted to the Islamic world and then to Europe, forming the basis of modern numeral systems.
For positional place value purposes would be impossible without it.
Yes, a numeration system can be positional without being place-value. In a positional system, the position of a digit affects its contribution to the overall value, but a place-value system specifically assigns values to positions based on powers of a base. An example of a positional system that is not place-value could involve using different bases for different positions, where each position's significance does not adhere to a uniform exponential scale.
Scientific notation is a way to signify really long numbers without writing it out in full, all 50 digits. 1,000,000,000 in scientific notation is 1.00 X 109
The number 29029 is already in standard notation. Standard notation is the conventional way of writing numbers using digits, without any scientific notation or other formats. Therefore, 29029 is simply written as 29029.
The number 8848 in standard notation is simply 8848. It is already expressed in the standard form used for integers, which is the usual way of writing numbers without any special notation.
The Indian mathematician Aryabhata is credited with inventing positional notation, which allowed for more advanced computations without the need for an abacus. This system, known as the Hindu-Arabic numeral system, eventually spread to the Arab world and Europe, revolutionizing mathematics and arithmetic.
For positional place value purposes would be impossible without it.
without numbers how can we compute
Without Mesopotamian inventions, we may not have had sailboats, musical notation, calanders, and even the wheel!
Without Mesopotamian inventions, we may not have had sailboats, musical notation, calanders, and even the wheel!
It is not possible. The side of an angle can be extended without limit - or reduced.
Yes, a numeration system can be positional without being place-value. In a positional system, the position of a digit affects its contribution to the overall value, but a place-value system specifically assigns values to positions based on powers of a base. An example of a positional system that is not place-value could involve using different bases for different positions, where each position's significance does not adhere to a uniform exponential scale.
permutation without replacement
Tt's impossible to answer this without the notation.
For multiple subsequent authors use the notation (without quotation marks) "et al.".
Scientific notation is a way to signify really long numbers without writing it out in full, all 50 digits. 1,000,000,000 in scientific notation is 1.00 X 109
10,000 (or without the comma, if you prefer. )