Concept explainers
a.
To determine:
The number that is reduced to three significant figures from the given number.
Introduction:
The number of digits corresponding to a given number that represent the required degree of accuracy are known as significant digits.
There are few rules that is to be followed to anaylize the digit is significant or not.
Rules for rounding off the numbers are,
- 1. Last digit becomes zero if it is less than five.
- 2. The second last digit is raised by 1 if the last digit is greater than five.
- 3. If the last digit is 5 and the second last digit is even then, the last digit becomes zero and the second last digit remains the same.
- 4. If the last digit is 5 and the second last digit is odd then, the last digit becomes zero and the second last digit is raised by one.
The rules for counting significant figures are,
- All non-zero numbers are significant.
- The zeros occurring between two significant figures are significant.
- The trailing zeros, present in a decimal value, are the only significant ones.
- The exponential values are not significant.
- The number that has the least number of significant figures determines the significant figures for the answer.
b.
To determine:
The number that is reduced to three significant figures from the given number.
Introduction:
The number of digits corresponding to a given number that represent the required degree of accuracy are known as significant digits.
There are few rules that is to be followed to anaylize the digit is significant or not.
Rules for rounding off the numbers are,
- 1. Last digit becomes zero if it is less than five.
- 2. The second last digit is raised by 1 if the last digit is greater than five.
- 3. If the last digit is 5 and the second last digit is even then, the last digit becomes zero and the second last digit remains the same.
- 4. If the last digit is 5 and the second last digit is odd then, the last digit becomes zero and the second last digit is raised by one.
The rules for counting significant figures are,
- All non-zero numbers are significant.
- The zeros occurring between two significant figures are significant.
- The trailing zeros, present in a decimal value, are the only significant ones.
- The exponential values are not significant.
- The number that has the least number of significant figures determines the significant figures for the answer.
c.
To determine:
The number that is reduced to three significant figures from the given number.
Introduction:
The number of digits corresponding to a given number that represent the required degree of accuracy are known as significant digits.
There are few rules that is to be followed to anaylize the digit is significant or not.
Rules for rounding off the numbers are,
- 1. Last digit becomes zero if it is less than five.
- 2. The second last digit is raised by 1 if the last digit is greater than five.
- 3. If the last digit is 5 and the second last digit is even then, the last digit becomes zero and the second last digit remains the same.
- 4. If the last digit is 5 and the second last digit is odd then, the last digit becomes zero and the second last digit is raised by one.
The rules for counting significant figures are,
- All non-zero numbers are significant.
- The zeros occurring between two significant figures are significant.
- The trailing zeros, present in a decimal value, are the only significant ones.
- The exponential values are not significant.
- The number that has the least number of significant figures determines the significant figures for the answer.
d.
To determine:
The number that is reduced to three significant figures from the given number.
Introduction:
The number of digits corresponding to a given number that represent the required degree of accuracy are known as significant digits.
There are few rules that is to be followed to anaylize the digit is significant or not.
Rules for rounding off the numbers are,
- 1. Last digit becomes zero if it is less than five.
- 2. The second last digit is raised by 1 if the last digit is greater than five.
- 3. If the last digit is 5 and the second last digit is even then, the last digit becomes zero and the second last digit remains the same.
- 4. If the last digit is 5 and the second last digit is odd then, the last digit becomes zero and the second last digit is raised by one.
The rules for counting significant figures are,
- All non-zero numbers are significant.
- The zeros occurring between two significant figures are significant.
- The trailing zeros, present in a decimal value, are the only significant ones.
- The exponential values are not significant.
- The number that has the least number of significant figures determines the significant figures for the answer.
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