Here we will explain what 100 mod 122 means and show how to calculate it. 100 mod 122 is short for 100 modulo 122 and it can also be called 100 modulus 122.
Modulo is the operation of finding the Remainder when you divide two numbers. Therefore, when you ask "What is 100 mod 122?" you are asking "What is the Remainder when you divide 100 by 122?".
We will show you two methods of finding 100 mod 122 (100 modulo 122). To differentiate our methods, we will call them the "Modulo Method" and the "Modulus Method".
Before we continue, we remind you of what the different parts of a division problem are called so you can follow along: Dividend / Divisor = Quotient and in this case 100 is the Dividend, 122 is the Divisor, and the answer is called the Quotient.
Furthermore, the Quotient x.y has two parts: x to the left of the decimal point is the Whole part, and y to the right of the decimal point is the Fractional part.
Modulo Method
To find 100 mod 122 using the Modulo Method, we first divide the Dividend (100) by the Divisor (122).
Second, we multiply the Whole part of the Quotient in the previous step by the Divisor (122).
Then finally, we subtract the answer in the second step from the Dividend (100) to get the answer. Here is the math to illustrate how to get 100 mod 122 using our Modulo Method:
100 ÷ 122 ≈ 0.819672
0 × 122 = 0
100 - 0 = 100
Thus, the answer to "What is 100 mod 122?" is 100.
Modulus Method
To find 100 mod 122 using the Modulus Method, we first find the highest multiple of the Divisor (122) that is equal to or less than the Dividend (100).
Then, we subtract the highest Divisor multiple from the Dividend to get the answer to 100 modulus 122 (100 mod 122):
Multiples of 122 are 0, 122, 244, 366, etc. and the highest multiple of 122 equal to or less than 100 is 0. Therefore, to get the answer:
100 - 0 = 100
Thus, once again, the answer to "What is 100 mod 122?" is 100.
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