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Chapter 2: Problem 26

Write an application that reads two integers, determines whether the first is a multiple of the second and prints the result. [Hint: Use the remainder operator.]

Short Answer

Expert verified
Use the remainder operator to determine if the first integer is a multiple of the second and print the result.

Step by step solution

01

Request Input

Prompt the user to input two integers. This can be achieved in most programming languages using a function like `input()` in Python, `Scanner` in Java, or `cin` in C++.
02

Read the Integers

Read the user input and store the values in two separate variables. Ensure that the inputs are correctly converted to integers.
03

Use the Remainder Operator

Use the remainder operator (commonly denoted as `%` in many programming languages) to calculate the remainder of the division of the first integer by the second integer.
04

Determine Multiplicity

Check if the remainder from Step 3 is zero. If so, the first integer is a multiple of the second. Otherwise, it is not.
05

Print the Result

Print the result to the user. If the first integer is a multiple of the second, print a message indicating this. If not, print a message saying the first integer is not a multiple of the second.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Remainder Operator
Understanding the remainder operator, typically symbolized as \(\%\), is essential for various computations in programming. It performs what's known as modulus division, returning the remainder after division of two numbers. For example, the expression \(5 \% 2\) equals \(1\), as 2 goes into 5 twice, with 1 left over.

In our exercise, when we consider whether one number is a multiple of another, the remainder operator is our go-to tool. If you divide a number by one of its multiples, the remainder will always be zero since it fits perfectly, like \(6 \% 3\) which equals \(0\), confirming that 6 is indeed a multiple of 3.
Conditional Statements
Conditional statements, such as \(if\), \(else if\), and \(else\), are the decision-making backbones of programming. They assess a condition and direct the flow of the program accordingly. If the condition is true, a set of instructions is executed; if not, the program moves on to evaluate the next condition or closes the conditional block.

In the context of our exercise, a conditional statement is used to compare the result of the remainder operation to zero. You could write the statement as follows: \(if (firstInteger \% secondInteger == 0)\), then you know the first integer is a multiple of the second and you can instruct the program to print the corresponding message.
Input and Output
Input and output operations are critical for interacting with users. Input allows a program to gather data from the user, while output enables the program to communicate results back to them.

For our exercise, the input mechanism could be a simple prompt requesting the user to enter two integers. This might look like \(Enter the first integer: \) and \(Enter the second integer: \) in the command line. After processing the user's input through the steps involving the remainder operator and the conditional statement, the program provides output by printing the result, be it a confirmation of multiplicity or a statement of its absence.

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Most popular questions from this chapter

Write an application that reads five integers and determines and prints the largest and smallest integers in the group. Use only the programming techniques you learned in this chapter.

Write a program that inputs five numbers and determines and prints the number of negative numbers input, the number of positive numbers input and the number of zeros input.

State the order of evaluation of the operators in each of the following Java statements, and show the value of x after each statement is performed: a) x = 7 + 3 * 6 / 2 - 1; b) x = 2 % 2 + 2 * 2 - 2 / 2; c) x = (3 * 9 * (3 + (9 * 3 / (3))));

We introduced the body mass index (BMI) calculator in Exercise 1.10. The formulas for calculating BMI are $$B M I=\frac{\text {weightInPounds} \times 703}{\text {heightInInches} \times \text {heightInInches}}$$ or $$B M I=\frac{\text {weightln Kilograms}}{\text {height} \text {InMeters} \times \text {height} \text {InMeters}}$$ Create a BMI calculator that reads the user’s weight in pounds and height in inches (or, if you prefer, the user’s weight in kilograms and height in meters), then calculates and displays the user’s body mass index. Also, display the following information from the Department of Health and Human Services/National Institutes of Health so the user can evaluate his/her BMI: [Note: In this chapter, you learned to use the int type to represent whole numbers. The BMI calculations when done with int values will both produce whole-number results. In Chapter 3 you’ll learn to use the double type to represent numbers with decimal points. When the BMI calculations are performed with doubles, they’ll both produce numbers with decimal points—these are called “floating-point” numbers.]

State whether each of the following is true or false. If false, explain why. a) Java operators are evaluated from left to right. b) The following are all valid variable names: _under_bar_, m928134, t5, j7, her_sales\(, his_\)account_total, a, b$, c, z and z2. c) A valid Java arithmetic expression with no parentheses is evaluated from left to right. d) The following are all invalid variable names: 3g, 87, 67h2, h22 and 2h.
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