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Evaluating Expressions with Order of Operations
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Evaluating Expressions with Order of Operations

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Questions and Answers

What is the order of evaluation for unary operators of the same level?

  • Top to bottom
  • Bottom to top
  • Right to left (correct)
  • Left to right
  • What is the purpose of using variables in the Receipt program?

  • To make the code more readable and maintainable (correct)
  • To reduce the number of calculations
  • To improve the performance of the program
  • To make the code more concise
  • What is the result of the expression z - (a + b / 2) + w * -y given the values z = 8, a = 3, b = 9, w = 2, and y = -5?

  • 12
  • 10
  • 11 (correct)
  • 13
  • What is the purpose of type casting in programming?

    <p>To convert a value from one type to another</p> Signup and view all the answers

    What is the benefit of using variables in the Receipt program for the subtotal, tax, and tip?

    <p>It makes the code more readable and maintainable</p> Signup and view all the answers

    What is the order of operations for the expression z - (a + b / 2) + w * -y?

    <p>Division, multiplication, addition, subtraction</p> Signup and view all the answers

    What is the purpose of the subtotal variable in the Receipt program?

    <p>To store the sum of the individual items</p> Signup and view all the answers

    What is the result of the expression 38 + 40 + 30?

    <p>108</p> Signup and view all the answers

    What is the purpose of the tax and tip variables in the Receipt program?

    <p>To store the tax and tip amounts</p> Signup and view all the answers

    What is the final result of the Receipt program?

    <p>The total amount of the order, including tax and tip</p> Signup and view all the answers

    Study Notes

    Data Types

    • byte: 8 bytes
    • double: 8 bytes, range of about ±10^308, 15 significant decimal digits
    • float: 4 bytes, range of about ±10^38, 7 significant decimal digits
    • char: 2 bytes, represents code units in Unicode encoding scheme
    • boolean: 1 bit, has two truth values: false and true

    Expressions

    • An expression is a value or operation that computes a value
    • Examples of expressions: 1 + 4 * 5, (7 + 2) * 6 / 3, 42
    • Simplest expression is a literal value, such as 42 or 28.9
    • Complex expressions can use operators, operands, and parentheses

    Arithmetic Operators

    • + : addition
    • - : subtraction (or negation)
    • * : multiplication
    • / : division
    • % : modulus (remainder)

    Evaluation

    • The process of obtaining the value of an expression
    • Expressions are evaluated as a program runs
    • Examples: 1 + 1 evaluates to 2, System.out.println(3 * 4) prints 12

    Integer Division

    • When dividing integers, the quotient is also an integer
    • Example: 4 / 2 is 2, not 2.0

    String Concatenation

    • Using + between a string and another value to make a longer string
    • Examples: "hello" + 42 is "hello42", "abc" + 1 + 2 is "abc12"

    Variables

    • Declaration syntax: type name;
    • Initialization syntax: type name = value;
    • Example: int x;, double myGPA = 3.95;
    • Variables can be used in expressions: int x = 3; System.out.println("x is " + x);
    • Variables can be assigned a value more than once: x = 4 + 7;

    Assignment and Algebra

    • Assignment uses =, but it is not an algebraic equation
    • = means "store the value at right in variable at left"
    • The right side expression is evaluated first, and then its result is stored in the variable at left

    Compiler Errors

    • A variable can't be used until it is assigned a value
    • A variable can't be declared twice
    • Example: int x;, int x; is an error

    Printing a Variable's Value

    • Use + to print a string and a variable's value on one line
    • Example: double grade = (95.1 + 71.9 + 82.6) / 3.0;, System.out.println("Your grade was " + grade);

    Increment and Decrement

    • Shorthand: variable++, variable--
    • Equivalent longer version: variable = variable + 1;, variable = variable - 1;
    • Example: int x = 2;, x++;, x now stores 3

    Modify-and-Assign

    • Shorthand: variable += value;, variable -= value;, variable *= value;, variable /= value;, variable %= value;
    • Equivalent longer version: variable = variable + value;, variable = variable - value;, variable = variable * value;, variable = variable / value;, variable = variable % value;
    • Example: x += 3;, gpa -= 0.5;

    Java Operator Precedence

    • Description: Unary operators, binary multiplicative operators, binary additive operators, assignment operators
    • Operators: ++, --, +, -, *, /, %, =, +=, -=, *=, /=, %=
    • Binary operators in the same level (e.g., + and -) are of equal priority and are evaluated left to right
    • Unary operators in the same level (e.g., + and -) are of equal priority and are evaluated right to left
    • Assignment operators in the same level (e.g., =) are of equal priority and are evaluated right to left

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    Description

    Evaluate the expression z – (a + b / 2) + w * -y using the order of operations with given values of variables. Practice applying operator precedence rules to simplify expressions.

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