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Page 1 5’s Compliment-Single Digit Sums 2 1 4 5 -1 3 2 7 -3 4 3 5 -2 1 4 5 -1 1 4 6 -2 3 4 5 -3 3 3 8 -4 2 3 6 -2 2 3 5 -3 2 4 7 -4 Page 2 5’s Compliment-Single Digit Sums 2 1 4 5 -1 3 2 7 -3 4 3 5 -2 1 4 5 -1 1 4 6 -2 3 4 5 -3 3 3 8 -4 2 3 6 -2 2 3 5 -3 2 4 7 -4 Answer Key 1 2 3 4 5 6 7 8 9 10 5 4 5 4 7 3 5 4 5 8 11 12 13 14 15 16 17 18 19 20 7 2 6 4 5 4 5 2 6 3Read More
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FAQs on Worksheet Solutions: 5’s Compliment-2 Digit Sums- 1 - Abacus - Class 1
| 1. What is the 5's complement method and how is it used in 2-digit sums? |  |
Ans. The 5's complement method is a technique used in arithmetic to simplify the process of addition, particularly in binary arithmetic. To find the 5's complement of a number, you subtract each digit from 5. For example, the 5's complement of 23 is calculated by subtracting 2 from 5 (which gives 3) and 3 from 5 (which gives 2), resulting in 32. This method is particularly useful for adding two-digit numbers, especially when dealing with subtraction or when the numbers involved exceed the base value.
| 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 47, the 5's complement would be found by subtracting 4 from 5 (giving 1) and 7 from 5 (giving -2). Because we cannot have a negative digit, we would typically adjust our approach or use a different method for processing the sum or difference.
| 3. Can you provide an example of a 2-digit sum using the 5's complement method? | |
Ans. Certainly! Let's add the numbers 34 and 28 using the 5's complement method. First, find the 5's complement of 28: the complement of 2 is 3 and the complement of 8 is -3. When we add these, we adjust it back: 34 + (5's complement of 28) = 34 + 32 = 66. We must then adjust for any overflow beyond two digits, if necessary.
| 4. What are the advantages of using the 5's complement in calculations? | |
Ans. The advantages of using the 5's complement method include simplifying the process of subtraction, reducing computational errors, and providing a systematic approach to addition. It can also help in converting numbers from one base to another, making it a versatile tool in mathematical operations.
| 5. Are there any limitations to using the 5's complement method for two-digit sums? | |
Ans. Yes, there are limitations. The 5's complement method is primarily effective for numbers within a certain range. If the numbers exceed two digits after using the complement, adjustments must be made. Additionally, this method may not be as intuitive for those not familiar with the concept of complements, which can lead to confusion in calculations.
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Sep 20, 2025
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