"Positional notation (or place-value notation, or positional numeral system) usually denotes the extension to any base of the Hindu–Arabic numeral system (or decimal system)."
The value assigned to a digit depending on its position in a number.
Base-ten system: The base-ten system is the method of representing numbers based on ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
Place value: Place value is the value of a digit in a number based on its position in the number.
Expanded form: Expanded form is a way to write a number as the sum of its place values.
Rounding: Rounding is the process of approximating a number to the nearest value.
Comparing and ordering numbers: Comparing and ordering numbers involve determining which number is greater or lesser than another number.
Addition: Addition is a mathematical operation that involves combining two or more quantities.
Subtraction: Subtraction is a mathematical operation that involves taking away one quantity from another.
Multiplication: Multiplication is a mathematical operation that involves finding the product of two or more numbers.
Division: Division is a mathematical operation that involves dividing one number by another.
Regrouping: Regrouping is also known as carrying or borrowing, and it involves grouping digits in a number to make it easier to perform mathematical operations.
Decimals: Decimals are a way of writing a number that is not a whole number.
Fractional numbers: Fractional numbers are a way of writing a number that represents a part of a whole.
Percentages: Percentages are a way of expressing a number as a fraction of 100.
Estimation: Estimation is an approximation of a number based on its context.
Scientific notation: Scientific notation is a way of expressing very large or very small numbers using powers of ten.
Standard Place Value: The value of a digit in a number based on its place or position in the number.
Expanded Place Value: A way of representing a number by breaking down each of its digits and writing them separately.
Decimal Place Value: The value of a digit to the right of the decimal point based on its position in the number.
Scientific Notation: A method of writing very large or very small numbers in a simplified form by expressing them as a power of 10.
Hindu-Arabic Place Value: A system of numeration, established by the Hindu mathematicians, where the value of a numerical digit is dependent on its positional value.
Binary Place Value: A numbering system based on the number 2, where all numbers are represented using only two digits – 0 and 1.
Octal Place Value: A numbering system based on the number 8, where all numbers are represented using only eight digits – 0 to 7.
Hexadecimal Place Value: A numbering system based on the number 16, where all numbers are represented using sixteen digits – 0–9 and A–F.
Ternary Place Value: A numbering system based on the number 3, where all numbers are represented using only three digits – 0, 1, and 2.
Base 10 Place Value: A numbering system based on the number 10, where all numbers are represented using ten digits – 0 to 9.
Mixed Base Place Value: A numbering system where each digit has a different base value, making it possible to represent numbers in a more efficient manner.
Egyptian Place Value: A system of numeration that used hieroglyphs with basic groupings, such as using a single line to represent the number 1.
Babylonian Place Value: A system of numeration that used a base of 60, which is still used today in time and angle measurements.
Mayan Place Value: A system of numeration developed by the ancient Mayan civilization, which used a base of 20.
Greek Place Value: A system of numeration developed by the ancient Greeks, which used letters of their alphabet to represent numerical values.
"More generally, a positional system is a numeral system in which the contribution of a digit to the value of a number is the value of the digit multiplied by a factor determined by the position of the digit."
"In early numeral systems, such as Roman numerals, a digit has only one value: I means one, X means ten and C a hundred..."
"In modern positional systems, such as the decimal system, the position of the digit means that its value must be multiplied by some value..."
"The Babylonian numeral system, base 60, was the first positional system to be developed..."
"...its influence is present today in the way time and angles are counted in tallies related to 60, such as 60 minutes in an hour and 360 degrees in a circle."
"The Hindu–Arabic numeral system (base ten) is the most commonly used system globally."
"...because it is easier to implement efficiently in electronic circuits."
"Systems with negative base, complex base or negative digits have been described."
"Most of them do not require a minus sign for designating negative numbers."
"The use of a radix point (decimal point in base ten), extends to include fractions and allows representing any real number with arbitrary accuracy."
"With positional notation, arithmetical computations are much simpler than with any older numeral system..."
"...this led to the rapid spread of the notation when it was introduced in western Europe."
"Positional notation (or place-value notation, or positional numeral system)..."
"Positional notation usually denotes the extension to any base of the Hindu–Arabic numeral system (or decimal system)."
"In early numeral systems, such as Roman numerals, a digit has only one value: I means one, X means ten and C a hundred..."
"The Hindu–Arabic numeral system (base ten) is the most commonly used system globally."
"The binary numeral system (base two) is used in almost all computers and electronic devices because it is easier to implement efficiently in electronic circuits."
"Systems with negative base, complex base or negative digits have been described."
"The Babylonian numeral system, base 60, was the first positional system to be developed, and its influence is present today..."