Arithmetic Rules: Often, you will have to carry out arithmetic operations with m

Question

Arithmetic Rules: Often, you will have to carry out arithmetic operations with measured quantities. In doing so, it is easy to generate meaningless digits, especially with electronic calculators, and it is important that you leant to recognize and eliminate these digits. Addition and Subtraction: The rule here is that the absolute uncertainty of the answer must not exceed that of the most uncertain value. In other words, retain as many digits to the right of the decimal as is found in the number with the fewest digits to the right of the decimal. SET 1 4.6 + 3 = 0.008 + 0.05 = 22.4420 + 56.981 = 200 - 87.3 = 67.5 - 0.009 = 71.86 - 13.1 = SET 2 357.89 + 0.002 = 17.95 + 32.42 + 50 = 5.5 + 3.7 + 2.97 = 84.675 - 3 = 75 - 2.55 = 10 - 9.9 = Multiplication and Division: The simplest rule is to keep as many significant figures in the final answer as is found in the value with the least number of significant figures

Explanation / Answer

SET 1

1. 4.60 + 3 = 7.60 = 8 ( Since the second number has only one significant figure so final result will contain only one significant figure. after rounding off it will become 8. If the rightmost digit to be removed is more than 5, then the preceding number is increased by 1 whereas if it is less than 5 the preceding number is not changed ).

2. 0.008 + 0.05 = 0.058 = 0.06 (after the decimal there are two digits)

3. 22.4420 + 56.981 = 79.4230 = 79.423

4. 200 - 87.3 =113

5. 67.5 - 0.009 = 67.491 = 67.5 (67.5 have only one digit after decimal)

6. 71.86 - 13.1 = 58.76 = 58.8

SET 2

1. 357.89 + .002 = 357.892 = 357.89

2. 17.95 + 32.42 + 50 = 100.37 = 100

3. 5.5 + 3.7 + 2.97 = 12.17 = 12.2

4. 84.675 -3 = 81.675 = 82

5. 75 - 2.55 = 72.45 = 72

6. 10 - 9.9 = 0.1 = 0

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