Here we will explain what 198 mod 184 means and show how to calculate it. 198 mod 184 is short for 198 modulo 184 and it can also be called 198 modulus 184.
Modulo is the operation of finding the Remainder when you divide two numbers. Therefore, when you ask "What is 198 mod 184?" you are asking "What is the Remainder when you divide 198 by 184?".
We will show you two methods of finding 198 mod 184 (198 modulo 184). 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 198 is the Dividend, 184 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 198 mod 184 using the Modulo Method, we first divide the Dividend (198) by the Divisor (184).
Second, we multiply the Whole part of the Quotient in the previous step by the Divisor (184).
Then finally, we subtract the answer in the second step from the Dividend (198) to get the answer. Here is the math to illustrate how to get 198 mod 184 using our Modulo Method:
198 ÷ 184 ≈ 1.076087
1 × 184 = 184
198 - 184 = 14
Thus, the answer to "What is 198 mod 184?" is 14.
Modulus Method
To find 198 mod 184 using the Modulus Method, we first find the highest multiple of the Divisor (184) that is equal to or less than the Dividend (198).
Then, we subtract the highest Divisor multiple from the Dividend to get the answer to 198 modulus 184 (198 mod 184):
Multiples of 184 are 0, 184, 368, 552, etc. and the highest multiple of 184 equal to or less than 198 is 184. Therefore, to get the answer:
198 - 184 = 14
Thus, once again, the answer to "What is 198 mod 184?" is 14.
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