Here we will explain what 138 mod 194 means and show how to calculate it. 138 mod 194 is short for 138 modulo 194 and it can also be called 138 modulus 194.
Modulo is the operation of finding the Remainder when you divide two numbers. Therefore, when you ask "What is 138 mod 194?" you are asking "What is the Remainder when you divide 138 by 194?".
We will show you two methods of finding 138 mod 194 (138 modulo 194). 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 138 is the Dividend, 194 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 138 mod 194 using the Modulo Method, we first divide the Dividend (138) by the Divisor (194).
Second, we multiply the Whole part of the Quotient in the previous step by the Divisor (194).
Then finally, we subtract the answer in the second step from the Dividend (138) to get the answer. Here is the math to illustrate how to get 138 mod 194 using our Modulo Method:
138 ÷ 194 ≈ 0.711340
0 × 194 = 0
138 - 0 = 138
Thus, the answer to "What is 138 mod 194?" is 138.
Modulus Method
To find 138 mod 194 using the Modulus Method, we first find the highest multiple of the Divisor (194) that is equal to or less than the Dividend (138).
Then, we subtract the highest Divisor multiple from the Dividend to get the answer to 138 modulus 194 (138 mod 194):
Multiples of 194 are 0, 194, 388, 582, etc. and the highest multiple of 194 equal to or less than 138 is 0. Therefore, to get the answer:
138 - 0 = 138
Thus, once again, the answer to "What is 138 mod 194?" is 138.
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