"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."
The process of finding the product or quotient of two or more decimals.
Place Value: Understanding the different place values of decimals and how they affect the value of the number.
Decimal Notation: How to write decimals in standard notation.
Multiplying Decimals by Whole Numbers: Learning how to multiply decimals by whole numbers using the standard algorithm.
Multiplying Decimals by Decimals: Multiplying decimals by decimals (numbers with a fractional portion) using the standard algorithm.
Estimation: How to use estimation to check the accuracy of the multiplication and division of decimals.
Division of Decimals: Dividing decimals using the standard algorithm.
Dividing by Powers of 10: Dividing decimal numbers by 10, 100, 1000, etc.
Rounding Decimals: How to round decimals to a certain number of decimal places.
Fractions and Decimals: Converting fractions to decimals and decimals to fractions.
Real-World Applications: How to apply multiplication and division of decimal numbers in real-life situations, such as measuring ingredients for a recipe or calculating the cost of a purchase with sales tax.
Decimal Operations in Scientific Notation: Understanding how to perform arithmetic with numbers in scientific notation involving decimals.
Converting between Metric Units: How to convert between different units of measurement that involve decimals, such as millimeters to centimeters or kilometers to meters.
Decimal Computation with Polynomials: How to multiply and divide decimals while performing arithmetic operations on polynomials.
Decimal Word Problems: Learning how to solve word problems involving multiplication and division with decimals.
Multiplying decimals by whole numbers: This involves multiplying a decimal number with a whole number.
Multiplying decimals by decimals: This involves multiplying two decimal numbers together.
Dividing decimals by whole numbers: This involves dividing a decimal number by a whole number.
Dividing decimals by decimals: This involves dividing a decimal number by another decimal number.
Multiplying and dividing decimals with multiple digits: This involves multiplying or dividing decimals with several digits before or after the decimal point.
Multiplying and dividing decimals with different place values: This involves multiplying or dividing decimals with different numbers of digits after the decimal point.
Multiplying and dividing decimals using scientific notation: This involves multiplication or division with the numbers represented in scientific notation.
Multiplying and dividing decimals with exponents: This involves using decimal numbers with exponents to evaluate multiplication and division.
"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."