Subtraction | Elementary arithmetic
Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. Subtraction is signified by the minus sign, −. 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. Therefore, the difference of 5 and 2 is 3; that is, 5 − 2 = 3. While primarily associated with natural numbers in arithmetic, 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. Subtraction follows several important patterns. It is anticommutative, meaning that changing the order changes the sign of the answer. It is also not associative, meaning that when one subtracts more than two numbers, the order in which subtraction is performed matters. Because 0 is the additive identity, subtraction of it does not change a number. Subtraction also obeys predictable rules concerning related operations, such as addition and multiplication. All of these rules can be proven, starting with the subtraction of integers and generalizing up through the real numbers and beyond. General binary operations that follow these patterns are studied in abstract algebra. Performing subtraction on natural numbers is one of the simplest numerical tasks. Subtraction of very small numbers is accessible to young children. In primary education for instance, students are taught to subtract numbers in the decimal system, starting with single digits and progressively tackling more difficult problems. In advanced algebra and in computer algebra, an expression involving subtraction like A − B is generally treated as a shorthand notation for the addition A + (−B). Thus, A − B contains two terms, namely A and −B. This allows an easier use of associativity and commutativity. (Wikipedia).
Determine a Subtraction Problem Modeled on a Number Line
This video explains how to write an subtraction equation from a number line model. http://mathispower4u.com
From playlist Addition and Subtraction of Whole Numbers
This is a short video tutorial on subtracting fractions. For interactive applets, worksheets, and more videos go to http://www.mathvillage.info
From playlist Fraction Operations
Ex 2: Subtracting Signed Fractions
This video provides two examples of subtracting signed fractions. Complete Video Library at http://www.mathispower4u.com
From playlist Adding and Subtracting Fractions
An introduction to subtraction, the terms and concepts involved, and subtraction as the opposite of addition. Some example problems are carefully worked and explained. From the Prealgebra course by Derek Owens. This course is available online at http://www.LucidEducation.com.
From playlist Prealgebra Chapter 1 (Complete chapter)
Subtracting polynomials by using the addition method
👉 Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you have identified the like terms, we then apply the requ
From playlist How to subtract polynomials
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions together. To add or subtract two linear functions, w
From playlist Add Subtract Multiply Divide Functions
Learn to subtract functions the easy way
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions together. To add or subtract two quadratic functions
From playlist Add Subtract Multiply Divide Functions
From the Algebra 1 course by Derek Owens. Distance learning classes are available at http://www.derekowens.com
From playlist Algebra 1 Chapter 2 (Selected Videos)
Perform subtraction of two functions and then evaluate
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions together. To add or subtract two quadratic functions
From playlist Add Subtract Multiply Divide Functions
A-Level Maths Edexcel Core 3 Past Paper Questions (1): Rational Functions
Powered by https://www.numerise.com/ All Core 3 Edexcel past paper questions on rational functions with full worked solutions. www.hegartymaths.com http://www.hegartymaths.com/
From playlist Core 3: Edexcel A-Level Maths Full Course
Core 3 Past Paper Questions - Trig double angle
Powered by https://www.numerise.com/ All past paper solutions to double angle and addition trig equations. www.hegartymaths.com http://www.hegartymaths.com/
From playlist Core 3 Edexcel Maths Past Paper Exam Solutions By Topic
Subtraction Without Borrowing (For Teachers)
Powered by https://www.numerise.com/ Subtraction Without Borrowing (For Teachers) www.hegartymaths.com http://www.hegartymaths.com/
From playlist Basic Arithmetic & Numeracy
A-Level Maths Edexcel Core 3: Past Paper Questions - Functions
Powered by https://www.numerise.com/ All past paper solutions on functions (inverse, composite, domain and range and split domain) www.hegartymaths.com http://www.hegartymaths.com/
From playlist Core 3 Edexcel Maths Past Paper Exam Solutions By Topic
Core 3 - Algebraic Fractions - Solomon Paper L - Q4
Powered by https://www.numerise.com/ Core 3 - Algebraic Fractions - Solomon Paper L - Q4 www.hegartymaths.com http://www.hegartymaths.com/
From playlist C3 Maths A-Level - Solomon Ch1 - Algebraic Fractions
Powered by https://www.numerise.com/ Core 3 Jan 2011 Q2 Edexcel www.hegartymaths.com http://www.hegartymaths.com/
From playlist Core 3: Edexcel A-Level Maths Full Course
A-Level Maths Edexcel FP1 - Numerical Methods Past Paper Exam Solutions
Powered by https://www.numerise.com/ Past paper FP1 questions on numerical methods www.hegartymaths.com http://www.hegartymaths.com/
From playlist Further Pure 1: Edexcel A-Level Maths Full Course
A-Level Maths Edexcel Core 3 Past Paper Questions - Differentiation (1)
Powered by https://www.numerise.com/ All questions answered re differentiation of functions. www.hegartymaths.com http://www.hegartymaths.com/
From playlist Core 3 Edexcel Maths Past Paper Exam Solutions By Topic
Core 3 - Algebraic Fractions - Solomon Paper D - Q5
Powered by https://www.numerise.com/ Algebraic Fractions www.hegartymaths.com http://www.hegartymaths.com/
From playlist C3 Maths A-Level - Solomon Ch1 - Algebraic Fractions
This video explains how to subtract whole numbers and provides several examples. http://mathispower4u.yolasite.com/
From playlist Whole Number Operations
Math 7: Module 2 Lesson 5 on Understanding Subtraction of Integers and Other Rational Numbers.
From playlist Eureka Math Grade 7 Module 2