Term 1: Lesson 7 - Modular Division

Modular division is used for:

Patterns Tell even and odd numbers Time calculations Money Encryption on the Internet

Six divided by three is two

Six mod 2 is zero because there is no remainder.

Modular division will cause

an error if we try to divide by zero. This is a runtime error because we don't necessarily know when we compile the code whether the user will input a zero.

If you are owed $0.67 in change, which programming statement below would tell you how many quarters you should get? Assume that change is an int variable that stores the number of cents owed (67 in this case).

change / 25

If x mod 2 is zero, the number is

divisible by 2, and is even. Otherwise it's ood.

The following code does not work as intended. It is meant to input two test grades and return the average in decimal format: int test1 = scan.nextInt(); int test2 = scan.nextInt(); double average = (test1 + test2 )/2; System.out.println("Answer: " + average); Which of the following corrections will allow the code to work as intended?

double average = (double)(test1 + test2)/2;

Which line of code sets int x to 7 multiplied by 6?

int x = 7 * 6;

The result of a modular division can

never be bigger than or equal to the second number.

modular division is also known as

remainder division

Modular division still works if

the first number is smaller than the second number

Modular Division gives

the remainder when dividing two numbers

One of the most common uses of modular division is

to tell whether a number is even or odd

Modular division is only for

integers

To perform modular division in Java we use the _____ operator.

%

What is 55 % 5?

0

What is 57 % 4?

1

To find the ones digit of a number you MOD by _______.

10

What is x equal to after the following code has been executed: double x = 15.67; x = (int)x;

15.0

To tell if a number is even or odd you MOD by ______.

2

What is 3 % 5?

3