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Questions and Answers
Match the arithmetic operation with its inverse operation:
Match the arithmetic operation with its inverse operation:
Addition = Subtraction Multiplication = Division Exponents = Roots Parentheses = No inverse
Match the arithmetic operation with its symbol:
Match the arithmetic operation with its symbol:
Addition = + Subtraction = - Multiplication = imes Division = /
Match the arithmetic operation with its priority in BODMAS/PEMDAS:
Match the arithmetic operation with its priority in BODMAS/PEMDAS:
Multiplication = 3rd Addition = 5th Exponents = 2nd Division = 4th
Match the arithmetic concept with its application:
Match the arithmetic concept with its application:
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Match the arithmetic operation with its property:
Match the arithmetic operation with its property:
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Study Notes
Introduction
Arithmetic is a fundamental branch of mathematics that deals with the study of numbers and their operations, including addition, subtraction, multiplication, division, order of operations, exponents, and parentheses. These operations form the basis of various aspects of our lives, from solving everyday problems to complex scientific computations. This article aims to explore these arithmetic operations and their applications in detail.
Addition
Addition is the process of combining two or more numbers into a single term. It is denoted by the '+' symbol and follows the commutative property, meaning that the order of numbers doesn't affect the result. For example:
2 + 5 = 7
The identity element of addition is 0, and the inverse element is the opposite sign of the number. For instance, the opposite of 5 is -5, so 5 + (-5) = 0.
Subtraction
Subtraction is the inverse of addition and involves finding the difference between two numbers. It is denoted by the '-' symbol and follows similar rules as addition. If the minuend (the larger number) is greater than the subtrahend (the smaller number), the result is positive, while if the minuend is less than the subtrahend, the result is negative. For example:
4 - 3 = 1
Multiplication
Multiplication is the process of multiplying two or more numbers to find a combined value. It is denoted by the 'x' or '*' symbols and follows the associative property, meaning that the grouping of numbers doesn't affect the result. For example:
6 * 2 = 12
Division
Division is the inverse of multiplication and involves splitting a number into parts. It is denoted by the '/' symbol and follows the distributive property, meaning that division can be broken down into repeated subtraction. For example:
12 / 2 = 6
Order of Operations (BODMAS/PEMDAS)
To avoid ambiguity in calculations, the order of operations is established. The acronym BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) or PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) guides the sequence of operations to perform. For example:
(10 + 2) * 5 = 30
Exponents
Exponents refer to the power of a number raised to a specific index. It is denoted by raising a base number to a power indicated by the exponent. For example:
2^3 = 8
Parentheses
Parentheses (also known as brackets) are used to group terms within an expression to show the desired order of operations. They can be nested, with the innermost pair evaluated first. For example:
(2 + 3)^2 = 29
Arithmetic operations play a crucial role in various fields, including finance, engineering, science, and economics, making a thorough understanding of these operations essential.
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Description
Explore arithmetic operations such as addition, subtraction, multiplication, division, exponents, and parentheses. Learn about the order of operations (BODMAS/PEMDAS) and their applications in everyday life and various fields.
