Here we will explain what 116 mod 143 means and show how to calculate it. 116 mod 143 is short for 116 modulo 143 and it can also be called 116 modulus 143.
Modulo is the operation of finding the Remainder when you divide two numbers. Therefore, when you ask "What is 116 mod 143?" you are asking "What is the Remainder when you divide 116 by 143?".
We will show you two methods of finding 116 mod 143 (116 modulo 143). 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 116 is the Dividend, 143 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 116 mod 143 using the Modulo Method, we first divide the Dividend (116) by the Divisor (143).
Second, we multiply the Whole part of the Quotient in the previous step by the Divisor (143).
Then finally, we subtract the answer in the second step from the Dividend (116) to get the answer. Here is the math to illustrate how to get 116 mod 143 using our Modulo Method:
116 ÷ 143 ≈ 0.811189
0 × 143 = 0
116 - 0 = 116
Thus, the answer to "What is 116 mod 143?" is 116.
Modulus Method
To find 116 mod 143 using the Modulus Method, we first find the highest multiple of the Divisor (143) that is equal to or less than the Dividend (116).
Then, we subtract the highest Divisor multiple from the Dividend to get the answer to 116 modulus 143 (116 mod 143):
Multiples of 143 are 0, 143, 286, 429, etc. and the highest multiple of 143 equal to or less than 116 is 0. Therefore, to get the answer:
116 - 0 = 116
Thus, once again, the answer to "What is 116 mod 143?" is 116.
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