Quote: "Subtraction (which is signified by the minus sign −) is one of the four arithmetic operations along with addition, multiplication, and division."
The process of taking away one number from another to obtain a difference.
Place Value: Understanding the value of digits in numbers and how they represent quantity.
Number Line: A visual representation of numbers ordered from least to greatest, used to show the progression of subtraction.
Basic Subtraction Facts: Memorizing simple subtraction equations up to 10, such as 5-3=2.
Regrouping: Also known as borrowing, this involves borrowing 1 from a higher place value to complete subtraction of larger numbers.
Mental Math: Being able to perform subtraction quickly in your head, without the aid of pen and paper.
Subtraction Vocabulary: Familiarizing yourself with terms such as minuend, subtrahend, and difference.
Subtraction Properties: The various properties of subtraction, such as the commutative and associative properties.
Subtraction Strategies: Utilizing different strategies, such as counting back, to solve subtraction problems efficiently.
Number Bonds: Understanding how numbers can be broken down into smaller parts to aid in subtraction.
Subtraction with Regrouping: Subtraction problems involving larger numbers that require borrowing.
Multi-Digit Subtraction: Subtraction problems that involve numbers with more than two digits.
Checking Subtraction: Verifying subtraction computations through methods such as estimation and double checking.
Subtraction Word Problems: Story problems that involve subtraction, requiring the use of critical thinking and problem-solving.
Fact Families: Understanding the relationship between addition and subtraction can help when solving subtraction problems.
Subtracting Fractions and Decimals: Learning to subtract fractions and decimals can be a key skill in daily life.
Traditional Subtraction: The most commonly used subtraction method, where digits are stacked vertically and digits in the same place value are subtracted from each other.
Borrowing Subtraction: Used when a digit in the subtrahend (number being subtracted) is greater than the corresponding digit in the minuend (number being subtracted from).
Regrouping Subtraction: Used when there are zeros in the minuend that need to be regrouped to a higher place value in order to subtract.
Mental Subtraction: Performed mentally without writing down the numbers or using other aids.
Approximation Subtraction: Used to estimate the result of a subtraction problem without calculating exactly.
Expanded Subtraction: Uses expanded notation to subtract numbers.
Base Ten Subtraction: Uses the concept of place values to subtract numbers.
Counting Up Subtraction: Adding up from the smaller number to the larger number to find the difference.
Partition Subtraction: Involves splitting one or both of the numbers being subtracted into parts and subtracting these parts separately.
Quote: "Subtraction is an operation that represents the removal of objects from a collection."
Quote: "For example, in the adjacent picture, there are 5 − 2 peaches—meaning 5 peaches with 2 taken away, resulting in a total of 3 peaches."
Quote: "Subtraction can also represent removing or decreasing physical and abstract quantities using different kinds of objects including negative numbers, fractions, irrational numbers, vectors, decimals, functions, and matrices."
Quote: "In a sense, subtraction is the inverse of addition. That is, c = a − b if and only if c + b = a."
Quote: "Subtraction is anticommutative, meaning that changing the order changes the sign of the answer."
Quote: "Subtraction is also not associative, meaning that, when one subtracts more than two numbers, the order in which subtraction is performed matters."
Quote: "Because 0 is the additive identity, subtraction of it does not change a number."
Quote: "Subtraction also obeys predictable rules concerning related operations, such as addition and multiplication."
Quote: "The difference of two numbers is the number that gives the first one when added to the second one."
Quote: "General binary operations that follow these patterns are studied in abstract algebra."
Quote: "Subtraction (which is signified by the minus sign −)..."
Quote: "Subtraction can also represent removing or decreasing physical and abstract quantities using different kinds of objects including negative numbers, fractions, irrational numbers, vectors, decimals, functions, and matrices."
Quote: "Subtraction can also represent removing or decreasing physical and abstract quantities using different kinds of objects including negative numbers, fractions, irrational numbers, vectors, decimals, functions, and matrices."
Quote: "All of these rules can be proven, starting with the subtraction of integers and generalizing up through the real numbers and beyond."
Quote: "All of these rules can be proven, starting with the subtraction of integers and generalizing up through the real numbers and beyond."
Quote: "Subtraction can also represent removing or decreasing physical and abstract quantities using different kinds of objects including negative numbers, fractions, irrational numbers, vectors, decimals, functions, and matrices."
Quote: "General binary operations that follow these patterns are studied in abstract algebra."
Quote: "Because 0 is the additive identity, subtraction of it does not change a number."
Quote: "In a sense, subtraction is the inverse of addition."