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Chapter 1: Problem 21

________________ are characters or symbols that perform operations on one or more operands.

Short Answer

Expert verified
Answer: Operators are characters or symbols in mathematics that perform operations on one or more operands. Examples include addition (+), subtraction (-), multiplication (*), division (/), and equality (==). They are used in mathematical expressions such as 5 + 3 = 8, 9 - 4 = 5, 3 * 7 = 21, 15 / 3 = 5, and 7 == 5 (False).

Step by step solution

01

Definition of Operators

Operators are characters or symbols that perform operations on one or more operands. In mathematics, operands are typically numbers, and operators are used to perform arithmetic and other mathematical operations.
02

Types of Operators

There are various types of operators, but we will focus on the four basic arithmetic operators and one comparison operator: 1. Addition (+): This operator is used to add two or more numbers. 2. Subtraction (-): This operator is used to subtract one number from another. 3. Multiplication (*): This operator is used to multiply two or more numbers. 4. Division (/): This operator is used to divide one number by another. 5. Equality (==): This operator is used to compare if two numbers are equal.
03

Examples of Operators

Here are some examples of using operators on operands: 1. Addition: 5 + 3 = 8 2. Subtraction: 9 - 4 = 5 3. Multiplication: 3 * 7 = 21 4. Division: 15 / 3 = 5 5. Equality: 7 == 5 (False) as 7 is not equal to 5.
04

Operator Precedence

Operator precedence is the order in which operators are applied in expressions involving multiple operators. For example, in the expression 5 + 3 * 2, the multiplication has higher precedence, so the expression would be evaluated as 5 + (3 * 2) = 5 + 6 = 11. The proper order of precedence from highest to lowest is: 1. Parentheses ( ) 2. Exponentiation (^) 3. Multiplication (*) and Division (/) 4. Addition (+) and Subtraction (-)
05

Conclusion

In conclusion, operators are characters or symbols in mathematics that perform operations on one or more operands. Understanding different types of operators and their function, as well as operator precedence, is crucial to correctly solve mathematical problems.

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