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FAQs on Worksheet: 5’s Compliment-2 Digit Sums- 1 - Abacus - Class 1

1. What is the 5’s complement method in relation to 2-digit sums?
Ans. The 5’s complement method is a technique used in arithmetic to simplify the process of addition, especially when dealing with 2-digit numbers. The 5’s complement of a number is found by subtracting each digit from 5. This method can help in efficiently calculating sums by converting the numbers into their complements before performing addition.
2. How do you calculate the 5’s complement of a two-digit number?
Ans. To calculate the 5’s complement of a two-digit number, take each digit of the number and subtract it from 5. For example, for the number 34, the 5’s complement would be calculated as follows: 5 - 3 = 2 and 5 - 4 = 1. Therefore, the 5’s complement of 34 is 21.
3. Why is the 5's complement method useful for two-digit sums?
Ans. The 5's complement method is useful for two-digit sums because it can simplify calculations, especially when adding numbers that require carrying over. By converting numbers into their complements, you can often avoid complex addition steps and make the arithmetic more straightforward.
4. Can you provide an example of using the 5’s complement method for a 2-digit sum?
Ans. Certainly! Let's add the numbers 23 and 45 using the 5’s complement method. First, find the 5’s complements: the complement of 23 is 52 (5-2=3 and 5-3=2) and the complement of 45 is 10 (5-4=1 and 5-5=0). Now, add the complements: 52 + 10 = 62. Finally, convert back to the original by subtracting 50 (since we used 5’s complements): 62 - 50 = 12. The sum of 23 and 45 is 68.
5. What are some common mistakes to avoid when using the 5’s complement method?
Ans. Some common mistakes to avoid include miscalculating the complements, forgetting to carry over when necessary, or incorrectly subtracting when converting back from the complement. It’s also important to ensure that each digit is treated independently and that the final result is checked for accuracy by performing the addition in the traditional way as a verification step.
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