Here we will explain what 125 mod 154 means and show how to calculate it. 125 mod 154 is short for 125 modulo 154 and it can also be called 125 modulus 154.
Modulo is the operation of finding the Remainder when you divide two numbers. Therefore, when you ask "What is 125 mod 154?" you are asking "What is the Remainder when you divide 125 by 154?".
We will show you two methods of finding 125 mod 154 (125 modulo 154). 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 125 is the Dividend, 154 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 125 mod 154 using the Modulo Method, we first divide the Dividend (125) by the Divisor (154).
Second, we multiply the Whole part of the Quotient in the previous step by the Divisor (154).
Then finally, we subtract the answer in the second step from the Dividend (125) to get the answer. Here is the math to illustrate how to get 125 mod 154 using our Modulo Method:
125 ÷ 154 ≈ 0.811688
0 × 154 = 0
125 - 0 = 125
Thus, the answer to "What is 125 mod 154?" is 125.
Modulus Method
To find 125 mod 154 using the Modulus Method, we first find the highest multiple of the Divisor (154) that is equal to or less than the Dividend (125).
Then, we subtract the highest Divisor multiple from the Dividend to get the answer to 125 modulus 154 (125 mod 154):
Multiples of 154 are 0, 154, 308, 462, etc. and the highest multiple of 154 equal to or less than 125 is 0. Therefore, to get the answer:
125 - 0 = 125
Thus, once again, the answer to "What is 125 mod 154?" is 125.
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