"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 sum or difference of two or more decimals.
Place value: Understanding the value of digits in a decimal number, such as the ones, tenths, hundredths, and so on.
Decimal notation: Learning how to express quantities in decimal form, as opposed to fractions or whole numbers.
Rounding: Knowing how to round decimals to various places, such as to the nearest tenth or hundredth.
Adding decimals with the same number of decimal places: Learning how to line up decimals and add them by place value.
Adding decimals with different number of decimal places: Knowing how to add decimals with different numbers of decimal places by adding zeros to the shorter decimal.
Subtracting decimals with the same number of decimal places: Learning how to line up decimals and subtract them by place value.
Subtracting decimals with different number of decimal places: Knowing how to subtract decimals with different numbers of decimal places by adding zeros to the shorter decimal.
Estimation: Understanding how to estimate sums and differences of decimals to check your work.
Word problems: Practicing how to solve real-world problems involving adding and subtracting decimals.
Order of operations: Knowing how to apply the correct order of operations when solving problems involving multiple operations, including addition and subtraction of decimals.
Adding and subtracting decimals with the same number of decimal places: This type of arithmetic involves adding or subtracting decimals that have the same number of digits after the decimal point. Simply add or subtract the numbers as you would with whole numbers, while keeping the decimal point in line.
Adding and subtracting decimals with different decimal places: This type of arithmetic involves adding or subtracting decimals that have different numbers of digits after the decimal point. In order to add or subtract these numbers, you will need to line up the decimal points and add zeros to the end of the shorter decimal until both decimals have the same length.
Carrying and borrowing in decimal arithmetic: This involves carrying or borrowing digits just as you would with whole numbers, when addition or subtraction exceeds nine. You carry over any tens place of a number that has a sum greater than nine or borrow a ten when subtracting from a smaller digit.
Rounding decimals: Rounding decimals can be done when you have a sum with a few too many decimal places. Simply round up or down to the nearest tenth or hundredth depending on how many decimal places you want to work with.
Estimating decimal arithmetic: Estimating decimal arithmetic involves using rounding and mental math to approximate the sum or difference of two decimal numbers. This is often used for quick calculations or to check accuracy before computing an exact answer.
Multi-step arithmetic with decimals: This involves performing more than one operation on a set of decimals- adding, subtracting, multiplication, or division- in order to arrive at a final result. Each step moves closer to answering the given problem.
Decimal word problems: Decimal word problems ask you to apply arithmetic skills with decimals as part of a problem statement. Instead of simple equations, you read the question and use math to arrive at the answer.
"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."