answersLogoWhite

0

In modular arithmetic must the modular always be greater than the remainder?

Updated: 8/18/2019
User Avatar

IsaacOkwaning

Lvl 1
13y ago

Best Answer

Yes, because that is how remainder is defined. If the remainder was bigger, you would subtract one (or more) modular values until the remainder became smaller than the modulus.

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: In modular arithmetic must the modular always be greater than the remainder?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

In the answer to a division problem should the remainder be greater than less than or equal to the diviser?

The remainder must always be smaller.


Is the remainder always greater than or less than the divisor?

It SHOULD always be less than the divisor... Otherwise your answer is wrong.


Why is the remainder less than the divisor?

Because if the remainder is greater, then you could "fit" another divisor value into it. if they are equal, then you can divide it easily. Thus, the remainder is always lower than the divisor.


How does a clock use math?

A clock is modular math. It has a base twelve. We use a base ten. If the clock had ten hours in a half day then the remainder when dividing would always be our answer.


Which is greater the geometric mean or the arithmetic mean of 6 and 54?

The geometric mean, if it exists, is always less than or equal to the arithmetic mean. The two are equal only if all the numbers are the same.


Why should the remainder be less than the divisor?

Because if the remainder is greater, then you could "fit" another divisor value into it. if they are equal, then you can divide it easily. Thus, the remainder is always lower than the divisor.


Is 1 11 an arithmetic sequence?

Any pair of numbers will always form an arithmetic sequence.


Why when you divid you always need a remainder?

Not always as for example 12/3 = 4 and no remainder but 13/3 = 4 with a remainder of 1


How do you determine if a sequence is arithmetic?

The sequence is arithmetic if the difference between every two consecutive terms is always the same.


Is the physiologic density of India equal to the arithmetic population density?

Physiologic density is always greater than arithmetic density. It is based on the amount of arable land (which is always likely less than the total area), which makes the density greater because it uses a smaller area.


When a number is divided by 32 what is the greatest value the remainder?

The remainder is always 31 or less.


Do prime numbers have a remainder when divided?

Unless they are divided by themselves or one, they will always have a remainder.