Here we will explain what 188 mod 141 means and show how to calculate it. 188 mod 141 is short for 188 modulo 141 and it can also be called 188 modulus 141.
Modulo is the operation of finding the Remainder when you divide two numbers. Therefore, when you ask "What is 188 mod 141?" you are asking "What is the Remainder when you divide 188 by 141?".
We will show you two methods of finding 188 mod 141 (188 modulo 141). 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 188 is the Dividend, 141 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 188 mod 141 using the Modulo Method, we first divide the Dividend (188) by the Divisor (141).
Second, we multiply the Whole part of the Quotient in the previous step by the Divisor (141).
Then finally, we subtract the answer in the second step from the Dividend (188) to get the answer. Here is the math to illustrate how to get 188 mod 141 using our Modulo Method:
188 ÷ 141 ≈ 1.333333
1 × 141 = 141
188 - 141 = 47
Thus, the answer to "What is 188 mod 141?" is 47.
Modulus Method
To find 188 mod 141 using the Modulus Method, we first find the highest multiple of the Divisor (141) that is equal to or less than the Dividend (188).
Then, we subtract the highest Divisor multiple from the Dividend to get the answer to 188 modulus 141 (188 mod 141):
Multiples of 141 are 0, 141, 282, 423, etc. and the highest multiple of 141 equal to or less than 188 is 141. Therefore, to get the answer:
188 - 141 = 47
Thus, once again, the answer to "What is 188 mod 141?" is 47.
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