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).

Also, 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)

Hereof, What is modulo calculator?

Modulo Calculator

The modulo operation, which is also often referred to as the mod or modulus operation, identifies the remainder after a given number is divided by another number. … On calculators, modulo is often calculated using the mod() function: mod(a, b) = r.

Also to know What is modulo in math? The modulo (or “modulus” or “mod”) is the remainder after dividing one number by another. Example: 100 mod 9 equals 1. Because 100/9 = 11 with a remainder of 1. Another example: 14 mod 12 equals 2.

What is the meaning of 1 mod 3?

Answer: 1 mod 3 is 1.

Let’s find 1 mod 3. Explanation: 1 mod 3 equals 1, since 1/3 = 0 with a remainder of 1. To find 1 mod 3 using the modulus method, we first find the highest multiple of the divisor, 3 that is equal to or less than the dividend, 1. … and the highest multiple of 3 equal to or less than 1 is 0.

24 Related Questions Answers Found

How do you solve a mod equation?

  1. The modulus of a non-negative number and a negative number is positive. |-5| is 5 and |5| is also 5.
  2. To solve modulus equations like |x-2| = 5, make two equations like x-2 = -5 & and x – 2 = 5 to find the solution.

How do you do mod on calculator?

Modulus on a Standard Calculator

  1. Divide a by n.
  2. Subtract the whole part of the resulting quantity.
  3. Multiply by n to obtain the modulus.

What is the modulus of 100?

Modulus is the force at a specific elongation value, ie 100% or 300% elongation. Expressed in pounds per square inch (psi) or megapascals (MPa), modulus is most widely used for testing and comparison purposes at 100% elongation. This is referred to as “M100” or modulus 100.

What does mod 9 mean?

Modular 9 arithmetic is the arithmetic of the remainders after division by 9. For example, the remainder for 12 after division by 9 is 3.

How do you calculate to the power of on a calculator?

Power is equal to work divided by time. In this example, P = 9000 J /60 s = 150 W . You can also use our power calculator to find work – simply insert the values of power and time.

What does a ≡ b mod n mean?

Definition 3.1 If a and b are integers and n > 0, we write a ≡ b mod n to mean n|(b − a). We read this as “a is congruent to b modulo (or mod) n. For example, 29 ≡ 8 mod 7, and 60 ≡ 0 mod 15. The notation is used because the properties of congruence “≡” are very similar to the properties of equality “=”.

What modulo means?

In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another (called the modulus of the operation). … The modulo operation is to be distinguished from the symbol mod, which refers to the modulus (or divisor) one is operating from.

What does mod 4 mean?

1 mod 4 is short for 1 modulo 4 and it can also be called 1 modulus 4. Modulo is the operation of finding the Remainder when you divide two numbers. … To differentiate our methods, we will call them the “Modulo Method” and the “Modulus Method”.

What is the mod symbol?

Modulo is a math operation that finds the remainder when one integer is divided by another. In writing, it is frequently abbreviated as mod, or represented by the symbol %.

What is a mod 6?

The “mod 6” means that we are working only with the remainders of numbers after division by 6, and not really working with the integers at all. Note that this word “mod” is different from the modulus operator used in programming languages.

How do I get mod 100?

How is 1

mod 100


  1. Integer division (result without fractional part) of dividend by modulus: 1 /


    = 0.
  2. Multiplication of the result right above (0) by the divisor (


    ): 0 ×


    = 0.
  3. Subtraction of the result right above (0) from the dividend (1): 1 – 0 = 1.

How do you do Modulus on a calculator?

Modulus on a Standard Calculator

  1. Divide a by n.
  2. Subtract the whole part of the resulting quantity.
  3. Multiply by n to obtain the modulus.

What modulus means?

1a : the factor by which a logarithm of a number to one base is multiplied to obtain the logarithm of the number to a new base. b : absolute value sense 2.

What is the value of 7 mod 9?

Modulo Method

Second, we multiply the Whole part of the Quotient in the previous step by the Divisor (9). Thus, the answer to “What is 7 mod 9?” is 7.

How do you calculate work?

Work can be calculated with the equation: Work = Force × Distance. The SI unit for work is the joule (J), or Newton • meter (N • m). One joule equals the amount of work that is done when 1 N of force moves an object over a distance of 1 m.

How do I find B Mods?

As we said, a mod b is simply an expression representing the remainder when we divide a by b. Therefore, if a / b = q remainder r, then a mod b = r. This leads to the following steps to find a mod b, in general: First, divide a by b.

How do you solve Congruences?

To solve a linear congruence ax ≡ b (mod N), you can multiply by the inverse of a if gcd(a,N) = 1; otherwise, more care is needed, and there will either be no solutions or several (exactly gcd(a,N) total) solutions for x mod N.

Why is modulo useful?

Since any even number divided by 2 has a remainder of 0, we can use modulo to determine the even-ess of a number. This can be used to make every other row in a table a certain color, for example.

How do you use modulo in a sentence?

It is used to mean informally ‘X, ignoring Y’. For example, “The rocket design was flawless, modulo the toxic waste produced by its fuel.”

What does modulo mean in Python?

Modulo is a mathematical operation. It is used to calculate the remainder of a division sum. The Python modulo operator is the percentage sign (%). This sign finds the remainder from dividing the two numbers you specify.