Commerce Exam > Commerce Videos > Applied Mathematics for Class 12 > Basic Concepts- Modulo Arithmetic & Congruence Modulo
Basic Concepts- Modulo Arithmetic & Congruence Modulo Video Lecture | Applied Mathematics for Class 12 - Commerce
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FAQs on Basic Concepts- Modulo Arithmetic & Congruence Modulo Video Lecture - Applied Mathematics for Class 12 - Commerce
| 1. What is modulo arithmetic? |  |
Ans. Modulo arithmetic is a mathematical operation that involves finding the remainder when one number is divided by another. It is denoted by the symbol "%". For example, in modulo arithmetic, 7 % 3 equals 1 because when 7 is divided by 3, the remainder is 1.
| 2. How is modulo arithmetic used in commerce? | |
Ans. Modulo arithmetic is used in commerce for various purposes, such as calculating discounts, handling currency conversions, and managing inventory. For example, when applying a 20% discount to an item's price, modulo arithmetic is used to determine the discounted price by subtracting the remainder after dividing the original price by 20.
| 3. What is congruence modulo in mathematics? | |
Ans. Congruence modulo is a relation between two numbers that states they have the same remainder when divided by a given positive integer (modulus). It is denoted by the symbol "≡". For example, a ≡ b (mod 5) means that a and b leave the same remainder when divided by 5.
| 4. How is congruence modulo used in commerce? | |
Ans. In commerce, congruence modulo is used to ensure consistency in transactions involving a specific modulus. It is often used in systems that handle payments, where congruence modulo guarantees that the transaction amounts and currency conversions remain accurate. It helps maintain integrity and consistency in financial calculations.
| 5. Can you provide an example of how modulo arithmetic and congruence modulo are used in commerce together? | |
Ans. Sure! Let's say a customer wants to purchase 8 t-shirts, and each t-shirt costs $15. The total price would be $120. Now, if the store offers a discount of 10% for every 5 t-shirts purchased, we can use modulo arithmetic to determine how many t-shirts would qualify for the discount (8 % 5 = 3). In this case, 3 t-shirts would not be eligible for the discount, while the remaining 5 t-shirts would be discounted. Additionally, congruence modulo can be used to ensure that the total price after the discount remains consistent and accurate when handling multiple transactions.
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Dec 23, 2024 Last updated |
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