Number sentence is a combination of numbers and mathematical operations that are often required to solve. Examples of number sentences include: 12 + 7 =?.

In this article, we will explore the number sentence definition, number sentence components and its types. We will also solve some examples of number sentences.

What is a Number Sentence?

The mathematical statement/expression with numbers, operations and an equality or inequality sign is called a number sentence. It can be true or untrue and shows a link between the numbers. Number sentences are important because it form the basics of algebra and arithmetic skills. It can be both simple and complex. Mathematical equations and inequalities can be formed and solved easily using number sentences.

Number Sentence

Components of Number Sentence

The components of number sentences include:

• Numbers: The values of the numbers in the sentences, such as 2, 3, and 5.

• Variables: Variables represent unknown values and are usually denoted by letters such as x, y, or z. Variables are generally used in mathematics.

• Operators: Operators are the symbols (such as +, -, ×, ÷ ÷) used for mathematical operations.

• Equality/Inequality Symbols: The symbols like =, ≠ =, <, >, ≤, ≥ to represent the relation between numbers.

• Expressions: Expressions are combinations of numbers, variables, and operators that form a part of the number sentence. For example: (2x + y – 6) is a example of expression.

• Constants: Constants are fixed values which do not changes with problem. The value of these constant are also fixed. For example: the value of pi(π) or Euler’s number.

• Parentheses and Brackets: These are used to group parts of an expression to indicate the order of operations. For example, 2 × (3 + 4).

• Function Notation: Function notation can be used to denote mathematical functions, such as f(x) = x³ + 3. Function notation indicates a relationship between x and f(x).

Types of Number Sentences

The different types of number sentences include:

• Addition Sentences
• Subtraction Sentences
• Multiplication Sentences
• Division Sentences
• Less than Sentences
• Greater than Sentences
• Algebraic Sentences
• Fraction Sentences

Addition Sentences

An addition sentence involves the sum of two or more numbers.

Example: 5 + 3 = 8, where 5 and 3 are addends, and 8 is the sum.

Subtraction Sentences

A subtraction sentence involves the difference between two numbers.

Example: 9 – 4 = 5, where 9 is the minuend, 4 is the subtrahend, and 5 is the difference.

Multiplication Sentences

A multiplication sentence involves the product of two or more numbers.

Example: 6 × 7 = 42, where 6 and 7 are factors, and 42 is the product.

Division Sentences

A division sentence involves the quotient of two numbers.

Example: 20 ÷ 4 = 5, where 20 is the dividend, 4 is the divisor, and 5 is the quotient.

Less Than Sentences

A less than sentence compares two values where one is smaller than the other.

Example: 3 < 5, which indicates that 3 is less than 5.

Greater Than Sentences

A greater than sentence compares two values where one is larger than the other.

Example: 7 > 2, which indicates that 7 is greater than 2.

Algebraic Sentences

An algebraic sentence includes variables and expresses a relationship involving unknown values.

Example: 2x + 3 = 7 This sentence can be solved to find the value of x.

Fraction Sentences

A fraction sentence involves fractions in the mathematical statement.

Example: 1/2 + 1/3 = 5/6 This involves finding a common denominator to solve the equation.

Equality Sentences

The sentences used to represent equality between the two sides.

Example: 6 + 3 = 9.

Inequality Sentences

The sentences used to represent inequality are those in which one side is more or less than the other.

Example: 4 > 2

Open Sentences

The sentences with variables are known as open sentences.

Example: x + 3 = 8

Number Sentences Formulas

Some of the formulas related to number sentences are given below.

Basic Arithmetic Operations