What is the remainder when 2018 !+ 2018 is divided by 2019?

When 2018^2019 divided by 2019, the remainder is -1. When 2017^2018*2017 divided by 2019, the remainder is -2 and so on. The sum equals 1. Therefore, the answer is 1.

How do you calculate modulo remainder?

How to calculate the modulo – an example

1. Start by choosing the initial number (before performing the modulo operation).
2. Choose the divisor.
3. Divide one number by the other, rounding down: 250 / 24 = 10 .
4. Multiply the divisor by the quotient.
5. Subtract this number from your initial number (dividend).

What is the remainder when 2018 2018 20?

So 2018 mod 20 = 18.

What is the remainder when 2019 to the power of 2019 is divided by 2020?

=> 2019^2019 = -1 (mod 2020) = 2019 . Therefore, 2019^2019 leaves a remainder of 2019 when divided by 2020. answer is 2019.

How do you calculate modulo?

Modulus. The modulus is another name for the remainder after division. For example, 17 mod 5 = 2, since if we divide 17 by 5, we get 3 with remainder 2. Modular arithmetic is sometimes called clock arithmetic, since analog clocks wrap around times past 12, meaning they work on a modulus of 12.

What is the remainder if 1920 2019 is divided by 7?

What is the remainder if 1 9 20 − 2 0 19 19^{20} – 20^{19} 1920−2019 is divided by 7? Remainder when 2 0 19 20^{19} 2019 is divided by 7 = 2 0 1 20^1 201 mod 7 =6.

How do we calculate?

Starts here11:36Percentages Made Easy! – YouTubeYouTube

How do you calculate mod without a calculator?

That’s simple,

1. Divide the two numbers ( eg. 7/3 = 2.333333)
2. eliminate the decimal part (i.e., make the 2.33333 → 2) ( If there is no decimal part, the MOD value is 0, eg.
3. multiply the divisor with the number you just found out ( 3 * 2 = 6)
4. now subtract the result from the dividend (7 – 6 = 1, which is your MOD value)

How do you calculate mod 26?

For example, the multiplicative inverse of 5 modulo 26 is 21, because 5 × 21 ≡ 1 modulo 26 (because 5 × 21 = 105 = 4 × 26 + 1 ≡ 1 modulo 26). (It is important to note that in modular arithmetic, a−1 does not mean 1/a. In fact, we have not defined division at all.) Not all numbers have a multiplicative inverse modulo n.

How is diploma percentage calculated?

The method is used to obtained \%age is the same as on your Final Diploma Certificate….The weightage of marks calculated is as follows:

1. 1st year (First Sem + Second Sem) : 25\%
2. 2nd year (Third Sem + Fourth Sem) : 50\%
3. 3rd year (Fifth Sem + Sixth Sem) : 100\%

What is the remainder when you work modulo 7 and 4?

For calendar calculations, we need to work modulo 7 (because there are 7 days of the week) and modulo 4 (because every 4 years there is a leap year). So, for example, when working modulo 7 we find that 37 is congruent to 2, since 35 is a multiple of 7 and 37 – 35 = 2. (One way to think of this is that 2 is the remainder when we divide 37 by 7.)

How do you find the remainder when dividing by 10?

First, if a number is being divided by 10, then the remainder is just the last digit of that number. Similarly, if a number is being divided by 9, add each of the digits to each other until you are left with one number (e.g., 1164 becomes 12 which in turn becomes 3), which is the remainder.

What is the remainder when 599 is divided by 9?

What is the remainder when 599 is divided by 9? The remainder is 5 . To calculate this, first divide 599 by 9 to get the largest multiple of 9 before 599. 5/9 < 1, so carry the 5 to the tens, 59/9 = 6 r 5, so carry the 5 to the digits. 59/9 = 6 r 5 again, so the largest multiple is 66.

How do you find the modulo of a missing number?

Divide each number by the modulo that it is missing. If it equals the remainder for that modulo, e.g. (b*c)/a = d, leave the number as is. If the remainder is not that for the modulo, use trial and error to find a positive integer to multiply the number by so that step 4 becomes true.