"The decimal numeral system (also called the base-ten positional numeral system and denary or decanary) is the standard system for denoting integer and non-integer numbers."
Numbers that represent parts of a whole using the base 10 system.
Place value: Understanding the value of a digit based on its position in a number. In decimals, the first digit to the right of the decimal point represents tenths, the second represents hundredths, and so on.
Rounding decimals: Choosing the nearest or most appropriate value of a decimal to simplify calculations or measurements.
Adding decimals: Combining two or more decimals to get a sum based on place value.
Subtracting decimals: Taking away one decimal from another to find the difference based on place value.
Multiplying decimals: Finding the product of two or more decimals by aligning the numbers, multiplying as you would with whole numbers, and placing the decimal point in the correct position.
Dividing decimals: Dividing a decimal by a whole number or another decimal by converting the divisor into a whole number, shifting the decimal point in both numbers if necessary, and dividing as with whole numbers.
Converting decimals to fractions: Writing a decimal as a fraction in its simplest form, based on its place value.
Converting fractions to decimals: Expressing a fraction as a decimal by dividing the numerator by the denominator.
Comparing decimals: Determining which decimal is greater or lesser by comparing the values of their digits from left to right.
Decimal word problems: Applying the skills of arithmetic with decimals to solve real-world problems, such as measurement, money, or percentages.
Terminating decimals: These decimals have a finite number of digits after the decimal point, such as 0.75 or 3.142.
Non-terminating decimals: These decimals have an infinite number of digits after the decimal point, such as 0.333... or 1.41421356....
Repeating decimals: These decimals have a group of one or more digits that repeat infinitely after the decimal point, such as 0.666... or 0.123123123....
Non-repeating decimals: These decimals have an infinite number of non-repeating digits after the decimal point, such as 0.1010101010....
Mixed repeating decimals: These decimals have both repeating and non-repeating digits after the decimal point, such as 0.231231231....
"It is the extension to non-integer numbers (decimal fractions) of the Hindu–Arabic numeral system."
"The way of denoting numbers in the decimal system is often referred to as decimal notation."
"Decimals may sometimes be identified by a decimal separator (usually "." or "," as in 25.9703 or 3,1415)."
"Decimal may also refer specifically to the digits after the decimal separator, such as in '3.14 is the approximation of π to two decimals'."
"Zero-digits after a decimal separator serve the purpose of signifying the precision of a value."
"The numbers that may be represented in the decimal system are the decimal fractions."
"That is, fractions of the form a/10n, where a is an integer, and n is a non-negative integer."
"The decimal system has been extended to infinite decimals for representing any real number, by using an infinite sequence of digits after the decimal separator."
"In this context, the decimal numerals with a finite number of non-zero digits after the decimal separator are sometimes called terminating decimals."
"A repeating decimal is an infinite decimal that, after some place, repeats indefinitely the same sequence of digits."
"An infinite decimal represents a rational number, the quotient of two integers if and only if it is a repeating decimal or has a finite number of non-zero digits."
"The decimal numeral system (also called the base-ten positional numeral system and denary or decanary)."
"It is the extension to non-integer numbers (decimal fractions) of the Hindu–Arabic numeral system."
"A decimal numeral (also often just decimal or, less correctly, decimal number), refers generally to the notation of a number in the decimal numeral system."
"Decimals may sometimes be identified by a decimal separator (usually "." or "," as in 25.9703 or 3,1415)."
"Zero-digits after a decimal separator serve the purpose of signifying the precision of a value."
"The numbers that may be represented in the decimal system are the decimal fractions."
"That is, fractions of the form a/10n, where a is an integer, and n is a non-negative integer."
"A repeating decimal is an infinite decimal that, after some place, repeats indefinitely the same sequence of digits."