Here we will explain what 91 mod 98 means and show how to calculate it. 91 mod 98 is short for 91 modulo 98 and it can also be called 91 modulus 98.
Modulo is the operation of finding the Remainder when you divide two numbers. Therefore, when you ask "What is 91 mod 98?" you are asking "What is the Remainder when you divide 91 by 98?".
We will show you two methods of finding 91 mod 98 (91 modulo 98). 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 91 is the Dividend, 98 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 91 mod 98 using the Modulo Method, we first divide the Dividend (91) by the Divisor (98).
Second, we multiply the Whole part of the Quotient in the previous step by the Divisor (98).
Then finally, we subtract the answer in the second step from the Dividend (91) to get the answer. Here is the math to illustrate how to get 91 mod 98 using our Modulo Method:
91 ÷ 98 ≈ 0.928571
0 × 98 = 0
91 - 0 = 91
Thus, the answer to "What is 91 mod 98?" is 91.
Modulus Method
To find 91 mod 98 using the Modulus Method, we first find the highest multiple of the Divisor (98) that is equal to or less than the Dividend (91).
Then, we subtract the highest Divisor multiple from the Dividend to get the answer to 91 modulus 98 (91 mod 98):
Multiples of 98 are 0, 98, 196, 294, etc. and the highest multiple of 98 equal to or less than 91 is 0. Therefore, to get the answer:
91 - 0 = 91
Thus, once again, the answer to "What is 91 mod 98?" is 91.
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