Subtraction is a mathematical operation that represents the process of taking away objects or numbers from a group. It is the opposite of addition.

The subtraction operation is denoted by the minus sign (-). For example, in the expression 5 - 3, 5 is the minuend, 3 is the subtrahend, and the result of the operation is 2.

For example, if you have 7 apples and you give away 3 apples, you can represent this situation using subtraction: 7 - 3 = 4. This means that you are left with 4 apples after giving away 3.

Subtraction has several properties, including the fact that the order of the numbers does matter. For example, 5 - 3 is not the same as 3 - 5. Also, subtraction can be thought of as the inverse of addition: if you start with a number and add another number, you can use subtraction to find the original number.

Subtraction is an important concept in mathematics and is used in everyday situations, such as calculating change, measuring the difference between two values, and solving various types of problems.

With practice, students can become proficient in performing subtraction and using it to solve a wide range of mathematical problems.

Study GuideSubtraction Facts Worksheet/Answer key

Subtraction Facts Worksheet/Answer key

Subtraction Facts Worksheet/Answer key

Subtraction Facts Worksheet/Answer keySubtraction Facts Worksheet/Answer keyAddition and Subtraction Vocabulary/Answer keySubtraction Facts

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Develop a sense of whole numbers and represent and use them in flexible ways, including relating, composing, and decomposing numbers.

Connect number words and numerals to the quantities they represent, using various physical models and representations.

Understand meanings of operations and how they relate to one another.

Understand various meanings of addition and subtraction of whole numbers and the relationship between the two operations.

Understand the effects of adding and subtracting whole numbers.

Compute fluently and make reasonable estimates.

Develop and use strategies for whole-number computations, with a focus on addition and subtraction.

Develop fluency with basic number combinations for addition and subtraction.

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Use concrete, pictorial, and verbal representations to develop an understanding of invented and conventional symbolic notations.

Use mathematical models to represent and understand quantitative relationships.

Model situations that involve the addition and subtraction of whole numbers, using objects, pictures, and symbols.

Grade 1 Curriculum Focal Points (NCTM)

Number and Operations and Algebra: Developing understandings of addition and subtraction and strategies for basic addition facts and related subtraction facts

Children develop strategies for adding and subtracting whole numbers on the basis of their earlier work with small numbers. They use a variety of models, including discrete objects, length-based models (e.g., lengths of connecting cubes), and number lines, to model 'part-whole,' 'adding to,' 'taking away from,' and 'comparing' situations to develop an understanding of the meanings of addition and subtraction and strategies to solve such arithmetic problems. Children understand the connections between counting and the operations of addition and subtraction (e.g., adding two is the same as 'counting on' two). They use properties of addition (commutativity and associativity) to add whole numbers, and they create and use increasingly sophisticated strategies based on these properties (e.g., 'making tens') to solve addition and subtraction problems involving basic facts. By comparing a variety of solution strategies, children relate addition and subtraction as inverse operations.

Connections to the Grade 1 Focal Points (NCTM)

Number and Operations and Algebra: Children use mathematical reasoning, including ideas such as commutativity and associativity and beginning ideas of tens and ones, to solve two-digit addition and subtraction problems with strategies that they understand and can explain. They solve both routine and nonroutine problems.